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Article

Improving Agricultural Green Supply Chain Management by a Novel Integrated Fuzzy-Delphi and Grey-WINGS Model

1
School of Economics and Management, Shandong Agricultural University, Taian 271018, China
2
School of Business Administration, Shandong Women’s University, Jinan 250300, China
*
Author to whom correspondence should be addressed.
Agriculture 2022, 12(10), 1512; https://doi.org/10.3390/agriculture12101512
Submission received: 23 August 2022 / Revised: 14 September 2022 / Accepted: 15 September 2022 / Published: 20 September 2022
(This article belongs to the Special Issue Sustainable Agriculture: Theories, Methods, Practices and Policies)

Abstract

:
This study suggests a novel hybrid model for calculating the interrelationships between factors by integrating the Fuzzy set, Delphi, the Grey theory, and Weighted Influence Nonlinear Gauge System (WINGS) approaches in agricultural green supply chain management (AGSCM). Fuzzy Delphi helps to select 12 indicators from 19 factors by defuzzification for ambiguity associated with subjective judgment by 10 experts in data collection. Grey WINGS can illustrate the relationships, direction, and strength of factors simultaneously, which illustrates that environmental law, green consciousness, product quality, and price are the most significant factors of AGSCM. The results can help operators not only to analyze these key influencing factors, but also to understand the complex cause-and-effect relationships between these factors. This integrated model will hopefully provide a useful tool to agricultural policy makers and decision makers for sustainable development.

1. Introduction

Agricultural green supply chain management (AGSCM) aims to transform environmental constraints into advantages and opportunities, such as eco-brand, green consumption, and sustainable development, which is difficult to optimize influenced by complex and interactive factors intrinsic in an ever-changing complex environment, which includes global warming, the COVID-19 pandemic, and environmental pollution. In particular, agriculture is one of the largest sources of methane emissions, with the Food and Agriculture Organization (FAO) stating that the emission of greenhouse gas will increase by 30% by 2050 [1]. With the increasing concern for green and sustainable development, more and more consumers are forcing the traditional supply chain reform to become environmentally conscious with components, such as biological pesticides, renewable energy, recyclable packaging, environmentally friendly fertilizers, and so on [1,2].
As we know, the yield of agricultural products is particularly influenced by many uncertain challenges related to environmental, political, economic, social, technical, and legal dimensions, which has become a major issue affecting human beings in recent years [3]. A growing global population and a deteriorating environment have led to an increased focus on agricultural supply chains, such as resource constraints and environmental pollution [4]. With the growing environmental awareness, decision makers must take environmental factors into account in supply chain management. The implementation of environmental and social performance expands the scope of legal, social, technical, economic, and ethical properties in green supply chain management (GSCM) [5]. Furthermore, the performance of GSCM combines environmental, social, and economic dimensions, which must be considered in many interrelated operations, such as planning, production, packaging, transportation, storage, processing, distributing, publicity, and sales [6,7,8]. Sustainability has become a necessary obligation for enterprise development. Enterprises need to take responsibility for social and environmental issues in supply chain management [9]. However, AGSCM has become more difficult with the spread of the COVID-19 pandemic, global warming, extreme climate, and environmental pollution across the world.
Although there have been a few attempts to study agricultural green supply chain management [10,11,12], these studies mainly studied the factors which are independent of each other as a prerequisite assumption but ignored the interrelationships within them. This assumption may limit the development of AGSCM and the improvement of economics. However, there are many uncertain complex hierarchical factors affecting AGSCM, such as perishability, seasonality, customers’ demand, and supply relationships [13]. In order to improve development of AGSCM within the restrictions of available natural resources, the decision support model must be concentrated on the real-world scenario and integrated with complicated methods to evaluate performance and the relationship of every factor [14].
Multiple-Criteria Decision-Making (MCDM) methods are designed to address complex decision-making difficulties by analyzing the structure of criteria, alternatives, and decision-makers’ preference, which are suitable for assisting managers, practitioners, and developers in selecting the best options within various conflicting criteria. Saaty introduced the Analytic Hierarchy Process (AHP) as a popular MCDM approach in 1980. The hierarchical structure of AHP makes it possible to visualize the factors influencing the alternatives. Analytic Network Process (ANP) is an amplification of AHP which can take into account the intricate interdependence of decision factors in a hierarchical structure [15]. To deal with the uncertain situation, the fuzzy AHP and ANP have been used in many domains [16,17]. So, the hybrid MCDM methods have the advantage to accomplish analysis the imprecise, incomplete, or uncertain information.
In contrast to the methods mentioned above, the Decision-Making Trial and Evaluation Laboratory (DEMATEL) is an advanced and sophisticated decision-making method for addressing interdependencies by visualizing the causal interactions of indicators proposed by Gabus and Fontela [18]. DEMATEL uses mathematical tools to comprehend various specialists’ perspectives on associated factors, as well as logical correlations and direct effects between these factors [19], which has been widely used in supply chain management (SCM) [20,21,22]. Michnik developed the Weighted Influence Nonlinear Gauge System (WINGS) approach from DEMATEL [23]. With interdependencies of factors in MCDM situations, DEMATEL simulates the direction and strength of the impact. Furthermore, WINGS simulates both the intensity and direction of the influence, in addition to the strength of the criterion, which could be utilized as a theoretical basis for AGSCM. However, classical DEMATEL and WINGS methods ignore the vagueness and uncertainty of human judgment that are so prevalent in real life. Regarding this problem, the Grey theory may successfully handle the ambiguities inherent in human subjective judgement while acquiring accurate results with a moderate data sample.
The contribution of this paper can be summarized as follows.
  • A fuzzy-Delphi and grey-WINGS approach to decision theory, which can be utilized to analyze different group choices, ambiguity, and complex interrelationships in evaluation problems, is presented in this study. The combination of a fuzzy set and grey theory can provide a more realistic representation of human judgement under ambiguous and subjective conditions.
  • The target of this study is conducive to the improvement of AGSCM by applying the current assessment approach to provide a more accurate and objective prioritization tool for AGSCM in a hazy and diverse environment. The approach is intended to assist AGSCM designers in identifying the most critical factors with the highest potential.
  • The fuzzy-Delphi and grey-WINGS method integrates four techniques, which have not been combined for illustrating mutual relationships of factors in previous studies. According to the results analysis, this research contributes significantly to improving AGSCM by providing policy and management implications.
The remainder is arranged as follows. Section 2 contains literature reviews. Section 3 consists of materials and methods. Section 4 includes research results. Section 5 is discussions. Section 6 includes conclusions.

2. Literature Review

2.1. Agriculture Green Supply Chain Management

GSM is always known as the environmental supply chain based on green manufacturing theory, which was first introduced by the Manufacturing Research Society of Michigan State University. The enterprises, merchants, and farmers within the supply chain can gain benefit from GSCM and use it as a valuable resource to improve their environmental performance [24] because it is a vital important management system involving suppliers, production plants, distributors, and customers, with the aim of minimizing the negative impacts and maximizing efficiency of resource utilization through the improvement of the whole implementation incorporating environmental concepts [25,26].
Agriculture is one of the industries that is most affected by climate. There is a clear relationship between agricultural productivity and climate fluctuations, which is especially complex and unique in developing countries [27]. Moreover, agricultural products have several specific characteristics that make agricultural supply chain management (ASCM) more complicated due to factors associated with seasonality, environment, and perishability when compared with typical supply chains [28]. In order to maintain environmental sustainability, the ‘green’ concept integrates environmental and ecological concerns, which has a significant impact on the environment including pollution, emissions, the health hazard to human beings, etc. [29,30,31,32,33,34,35]. Therefore, AGSCM has been established as an important discipline of sustainable operations management, which must be paid more attention. As more and more environmental regulations are published, AGSCM plays a proactive role in improving environmental performance and economic stability [36,37].
Environment, strategy, and logistics are the three critical components of AGSCM, involving proactive measures such as recycling, reprocessing, and monitoring of environmental standards [38,39]. In order to improve sustainable development, it is necessary that the product, package, and purchase must meet green standards. All supply chain participants must be proactive and work together to minimize negative environmental effects [40].

2.2. The Influence Factors of AGSCM

AGSCM incorporates environmental and economic elements, which are important challenges with the limitation of resources for minimizing environmental negative consequences and enhancing economic stability [36,41]. We reviewed papers with GSCM and AGSCM from 2010 to 2022. According to the operation of the supply chain, the forces driving all farmers, stakeholders, and customers should be associated with activities in AGSCM. It can be concluded that the factors influencing AGSCM include customer and stakeholder requirements and competitive advantage, both of which come from economic and social factors [42,43]. These are the motivations for successful implementation of AGSCM. On the other hand, regulation and market pressure could force companies to adopt the rules of AGSCM in the pursuit of environmental performance, such as environmental laws, competitors’ pressure, suppliers’ requirements, and customers’ awareness [44,45,46]. Meanwhile, barriers are factors that hamper the implementation process of AGSCM. Some of the important barriers are cost and risk, lack of government support, financial constraints, poor supplier commitment, lack of legitimacy, technology, and resistance from the stakeholders [47,48,49].

2.3. Hybrid Methodology and Applications

Compared to traditional SCM, the ASCM is more difficult to measure due to the issues associated with environmental factors. Some structural methodologies have been extended in ASCM, such as AHP [50], ANP [51], and Technique for Order Preference by Similarity to an Ideal Solution (TOPSIS) [52] in Table 1. Furthermore, AGSCM is also a typical MCDM problem that requires estimation of factors based on complex objective and subjective information. In order to achieve accurate and scientific evaluation results, the fuzzy set theory might be a major tool which was initiated as a mathematical tool to handle ambiguity and fuzzy information influenced by subjective judgments. These sources of imprecision contain incomplete, nonobtainable, unquantifiable, and partial information, which exist in real life. Therefore, the fuzzy set can be employed in some decision models to analyze the factors of supply chain management [53]. In order to exploit the ambiguity and variety in articulating preferences of decisionmakers, grey theory has been utilized to assemble group fuzzy evaluations, and it can handle the preferences of various decisionmakers [54,55]. Compared with the fuzzy logit, grey theory can handle uncertainty problems with discrete values and imperfect knowledge by creating a flexible choice model with interval numbers. Its significant advantage is the capability to obtain accurate results with limited data under conditions of high variable variability [56]. By combining linguistic variables, the grey set theory can be used to evaluate uncertain conceptions related to people’s subjective judgments. The implications of the grey set theory will be more significant, especially when experts make decisions based on inadequate information or when they are conscious that they lack knowledge in some scenarios. Numerous effective applications of grey system theory have been made in several fields, including business, geography, medicine, agriculture, and disaster preparedness [57,58]. So, grey system theory has been improved as an efficient approach to unresolved and ambiguous issues in recent years.
The Delphi technique is a qualitative approach for gathering the opinions of a diverse group on a specific topic, which was proposed by the RAND Corporation. Because traditional Delphi techniques cannot deal with ambiguity, a fuzzy-Delphi method, which can handle the ambiguity and uncertainty inherent with the data, was combined by Ishikawa et al. (1993) [60]. Various applications have been employed in supply chain performance, agricultural cost, design analysis of products, healthcare, and construction [61,62,63,64,65,66]. Moreover, to analyze the complex intertwined relationships between influencing factors, scholars proposed several powerful methods including ANP [15,51], DEMATEL [56,59], and WINGS [23,67]. ANP is just a generalized version of the analytical hierarchy process proposed by Saaty, which illustrates general relations among the indicators, whereas the AHP emphasizes hierarchical relations between decision levels [68]. The ANP uses ratio scale measurements through comparisons, but unlike the AHP, it does not impose a fixed hierarchical structure. Both methods have a prerequisite assumption as no influence between criteria. ANP has been widely applied in various situations, such as location selection, project selection, and supplier selection [69,70,71].
DEMATEL is used to translate the interrelationships between the criteria into an understandable structural model, which was established by the Battelle Memorial Institute of the Geneva Research Center. The numbers measuring the level of influence can construct the matrices or digraphs to illustrate the interrelationship between criteria and identify the core criterion to express the performance of variables, which could also eliminate overfitting for assessment [21]. Being an update of DEMATEL, WINGS takes over the superiority of DEMATEL, including the ability to handle complex problems with various factors and the simplicity of its mathematical procedures [23]. However, it also has its own special characteristics. WINGS measures the operating factors’ strength and the level of its influence, whereas DEMATEL only considers the latter. So, an improved version of WINGS can be used to evaluate the interrelationships between criteria more powerful. Especially when the criteria are distinct, it has been demonstrated that WINGS simplifies the additive agglomeration as shown in Table 2 [72].
Based on the above analysis, the DEMATEL and WINGS techniques are superior than other traditional methods, since the input values can immediately enter the matrix, which has the advantage in calculations over the AHP/ANP approach with pairwise comparisons. However, WINGS method is superior than the classical DEMATEL method, which considers the strength of the standard., as well as the interrelationship between criteria. Unlike the previously mentioned approaches, this study combines the WINGS and DELPHI methods with fuzzy and grey theory to handle the fuzzy decision environment. Therefore, the suggested model of this paper is more accurate in describing the subjective information and more practicable in analyzing the difficult assessment problems with simple calculation. In addition, there is no instance integrating the grey theory, the fuzzy set, the WINGS, and the DELPHI approaches, which involves the ambiguity and uncertainty during the evaluation process.

3. Materials and Methods

The proposed model combining fuzzy Delphi and Grey WINGS contains two phases as in Figure 1. Firstly, identifying and finalizing the factors of AGSCM. Secondly, a cause-and-effect analysis of the components that have been selected will demonstrate how they interact.

3.1. Influencing Factors of AGSCM

Based on the status of the AGSCM and structural analysis approaches that have been applied to supply chain management, an evaluation method of the influencing elements of AGSCM has been constructed. We chose 19 factors from three dimensions including government, economy, and society, including green consciousness, competitive pressure, government subsidies, produce quality, customer demand, environmental laws, logistics, renewable material, green operation, technology, waste reduction, price of product, cost, stockholders’ requirement, monitoring, social responsibilities, infrastructure, income level, and reusable packaging.

3.2. Fuzzy Delphi

The theory of fuzzy sets proposed by Zadeh to describe the ambiguity of human cognitive processes formed the basis of the fuzzy-Delphi technique. A triangular fuzzy number can be presented like λ ˜ = ( l , o , k ) , where l o k . Then, the membership function is:
θ λ ˜ = { x l o l , x ( l , o ) k x k o , x ( o , k ) 0 , x ( , l ) ( k , ) 1 , x = o
The basic operations show as:
( 1 ) λ ˜ 1 + λ ˜ 2 = ( l 1 , o 1 , k 1 ) + ( l 2 , o 2 , k 2 ) = ( l 1 + l 2 , o 1 + o 2 , k 1 + k 2 ) ; ( 2 ) λ ˜ 1 λ ˜ 2 = ( l 1 , o 1 , k 1 ) ( l 2 , o 2 , k 2 ) = ( l 1 l 2 , o 1 o 2 , k 1 k 2 ) ; ( 3 ) λ ˜ 1 × λ ˜ 2 = ( l 1 , o 1 , k 1 ) × ( l 2 , o 2 , k 2 ) = ( l 1 l 2 , o 1 o 2 , k 1 k 2 ) ; ( 4 ) λ ˜ 1 ÷ λ ˜ 2 = ( l 1 , o 1 , k 1 ) ÷ ( l 2 , o 2 , k 2 ) = ( l 1 / k 2 , o 1 / o 2 , k 1 / l 2 ) .
where l 1 , l 2 > 0 ; o 1 , o 2 > 0 ; k 1 , k 2 > 0 .
The following are all fuzzy-Delphi steps:
Step 1: This process involves identifying and categorizing numerous factors that are relevant to the field under research.
Step 2: Once the criteria have been established, the experts are given the questionnaire detailing the criteria to compare by using the linguistic scale listed in Table 3. Fuzzy numbers could be transformed from experts’ evaluations for each criterion. A fuzzy number referring to the cth factor suggested by the ath expert is expressed as:
e c a = ( l c a , o c a , k c a ) ; c = 1 , 2 ... p ; a = 1 , 2 ... q
where p and q are the number of criteria and experts.
The fuzzy number for each criterion could be estimated using triangular fuzzy numbers (E), as stated in Equation (4), which integrates the evaluations from all q experts as follows:
E c = ( l c D , o c M , k c H ) = ( min q l c D q , ( a = 1 q o c M a ) 1 / q , max q k c H q )
Step 3: The fuzzy number of each assessment factor should be defuzzied using the Simple Center of Gravity (SCGM) approach to obtain the final value of each factor, which is the most prevalent approach for defuzzification [73]. This stage of SCGM involves computing the defuzzification value G using the mean approach as shown below:
G c = ( l c D + o c M + k c H ) / 3
Step 4: A threshold value (β) must be defined to choose the most significant criteria from the expert group in order to create the list of criteria. The final step is to construct the final list of criteria based on the following threshold criteria: The criterion is chosen if Gβ, and the criterion is omitted if Gβ.

3.3. Fuzzy-Delphi Grey-WINGS Model

The main steps can be described as:
Step 1. Determine selection criteria by using the fuzzy-Delphi method.
Numerous factors relevant to AGSCM are estimated by experts. After gathering expert opinions from surveys, the triangle fuzzy numbers are utilized to determine selection criteria through the Delphi method.
Step 2. Construct an initial strength–influence matrix for all experts.
Table 4 displays the language evaluation and the related grey numbers, which could measure factor x impact over factor y using an integer scale ranging from 0 to 4, indicating “no influence”, “low influence”, “medium influence”, “high influence”, and “very high influence” between factors.
Step 3. Compute the corresponding grey matrix for the strength–influence matrix.
The ratings on the integer scale can be transformed into corresponding grey scales that give an upper range and a lower range of values. Based on the obtained grey values, the initial relation matrices are transformed into grey relation matrices, as r x y a = [ _ r x y a , ¯ r x y a ] , where x,y indicate the criterion, and a indicates the ath expert, 1 ≤ aq; 1 ≤ xp; 1 ≤ yp.
Step 4. Calculate the average grey strength–influence matrix.
The average grey strength–influence matrix [ r x y ] can be computed by q grey relation matrices,
r x y = ( a _ r x y a q , a ¯ r x y a q )
Step 5. Obtain the crisp strength–influence matrix.
(1) Standardization of the grey number:
¯ r ˜ x y = ( ¯ r x y min ¯ r x y ) / ( max ¯ r x y min _ r x y )
_ r ˜ x y = ( _ r x y min _ r x y ) / ( max ¯ r x y min _ r x y )
(2) Normalization of the crisp values:
t x y = ( _ r ˜ x y ( 1 _ r ˜ x y ) + ( ¯ r ˜ x y × ¯ r ˜ x y ) ) / ( 1 _ r ˜ x y + ¯ r ˜ x y )
(3) Calculate the accurate total crisp values.
f x y = min ¯ r ˜ x y + t x y ( max ¯ r ˜ x y min _ r ˜ x y )
and F = [ f x y ]
Step 6. Obtain the normalized strength–influence matrix.
W = 1 x = 1 p y = 1 p F x y   and   B = W × F x , y { 1 , 2 , ... , p }
The element of matrix B is between 0 and 1.
Step 7. Acquire the total strength–influence matrix.
The matrix Z is obtained by:
Z = B ( I B ) 1
where Z = [ z c a ] , and I presents an identity matrix.
Step 8. Sum of rows and columns in matrix Z.
The sum of rows (T) and columns (L) in matrix Z can be calculated as:
T = [ T c ] = c = 1 p z c a , c = 1 , 2 , ... , p
L = [ L a ] = a = 1 q z c a , a = 1 , 2 , ... , q
T depicts the whole influence of component c as a cause affecting remaining components, while L illustrates an effect as the whole influence from other components impacting component a.
Step 9. Set up cause–effect relationship diagram.
Using the values obtained through Equations (13) and (14), a causal diagram is set up. The total impacts the given and received values by factor x, which represents the degree of prominence in the overall system.
The sum (T + L) presents the total effects by factor x, which represents the degree of prominence in the overall system, while (T − L) illustrates the net effect of factor x on the overall system. Factor x is the net cause if (T − L) is positive. Then, factor x is the net effect if (T − L) is negative.
Step 10. As shown below, a threshold value (β) is established to eliminate minor effects.
β = x = 1 p y = 1 p [ z x y ] N
where N is the number of factors in matrix Z.

4. Results

4.1. Data Collection and Fuzzy Delphi

The main steps can be described as:
For the purpose of gathering data, 10 experts from agricultural businesses and academics were engaged. The experts team consisted of 2 professors within the agriculture field, 2 agricultural consultants, 2 agricultural supply chain managers, 2 rural cooperative managers and 2 farmers, who all have an experience of more than 12 years. Table 5 depicts the details of these experts. The data are gathered and assessed in two stages, which are described below:
The fuzzy–Delphi method was used to select only those indicators significant to AGSCM that were determined through interviews and a literature review. Ten experts were given the same questionnaire based on the identified indicators, and they were asked to evaluate each factor in relation to the AGSCM by the linguistic scale shown in Table 3. Additionally, by applying the transforming procedures above, the values were converted into triangular fuzzy number to aggregate the fuzzy values of all 19 elements using Equations (3) and (5).
To select the more significant factors, the threshold defuzzification value (β) was chosen at 0.60 in this paper to determine whether to accept or reject a factor, which is larger than the normal value (0.56) for the nine-fuzzy scale [73]. Based on this threshold value of defuzzification, a total of 12 factors with values greater than 0.60 were selected, and 7 factors less than 0.60 were rejected. Table 6 lists all the selected and rejected factors.

4.2. Grey WINGS Analysis

The impact factors of AGSCM were empirically investigated using the grey-WINGS method. The significance among the 12 factors was evaluated by experts. At this stage, the grey-WINGS approach was utilized by the same 10 experts to obtain the final interrelationships and cause–effect linkages between the factors. The following sections cover the implementation of the grey-WINGS approach:
Step 1: Using the linguistic scale provided in Table 4, experts were asked to build a strength–influence matrix for factors in the AGSCM. The grey initial strength relationship matrix from the No.1 expert is displayed in Table 7.
Step 2: The average grey strength–influence matrix shows as Table 8. After averaging the grey initial values by Equation (6), the standardization of the grey numbers can be obtained by using Equations (7) and (8), which transform the values into the standard interval form in Table 8. Most values contain the interval [0.4,0.6]. The biggest value is [0.65,0.9], while [0.225,0.45] is the smallest interval number.
Step 3. The crisp strength–influence matrix is shown in Table 9, which is established from the average grey strength–influence matrix. The interval numbers can integrate most information, and the further analysis needs to convert the interval form to a crisp value by using Equations (9) and (10). As a result, the total crisp values are calculated as shown in Table 9, which retain four decimals for ensuring accuracy.
Step 4. The normalized strength–influence matrix was created in Table 10, containing the positive numbers which are less than 1 since it is necessary to control different variables within the same scale through the process of standardization as listed in Equation (11).
Step 5. The total strength–influence matrix was calculated between 0.0001 and 0.0232 as shown in Table 11 after utilizing Equation (12). The diagonal line represents the strength of the factor itself, while the other positions represent the degree of influence of the factor influence on other factors.
Step 6. Sums of the rows T and columns L are obtained by Equations (13) and (14) in a total strength–influence matrix. Looking through the T column in Table 12, F8 has the maximum value of 0.1224, and F10 has the minimum value of 0.0558. In L column, the max value is 0.1391 for F9, and the min value is 0.0402 for F13. In addition, (T + L) values are utilized to measure the degree of prominence, and (T − L) values are computed to identify cause and effect factors in Table 12. The max value of (T + L) is F9 with 0.2196, and the min is F10 with 0.0962. On the other hand, F3 has the max value of (T − L) as 0.0641, and F6 has the min value as −0.0694. Then, a causal graph is shown in Figure 2 by placing the (T + L) data set on the horizontal axis and the (T − L) data set on the vertical axis.
Step 7. A threshold value (β) was computed using Equation (15). An interaction matrix that depicts the interrelationships between factors is created by the values greater than β as in Table 13. F6, F2, F9, F4, and F12 have more than nine interactions, respectively, whereas F1, F10, F3, and F8 have less than three interactions. Furthermore, the network diagram of interrelationships among factors can be illustrated in Figure 3.

5. Discussion

In most cases, we encounter complex MCDM problems in which the factors are mutually influenced by each other. Due to the dependencies between various factors, it is not true that any one factor can improve the entire system. Therefore, it is necessary to identify the interrelationship of the factors in the causal group that can be improved and thus influence the entire system. Considering the above situation, this study proposes a novel combination of fuzzy-Delphi and grey-WINGS techniques to illustrate the causal relationships among the factors of AGSCM. To select the relatively more important factors, a threshold of 0.6 was set in the fuzzy-Delphi method. Furthermore, utilizing the integrated grey WINGS approach, the causal relationships between the factors can be identified by aggregating the group subjective assessment from various decisionmakers. As a result, the integrated fuzzy-DELPHI grey-WINGS methods can make a significant contribution to the MCDM employed in the AGSCM.
Based on the values of (T + L) in Table 12, the factors are prioritized as F9 > F5 > F2 > F4 > F12 > F7 > F6 > F8 > F1 > F11 > F3 > F10. Moreover, the ranking of cause–effect relationships is based on (T − L) values. Qualitative and prioritized ranking of the factors in the causal group helps to identify about how much influence each factor has. Based on positive and negative signs, the factors can be categorized into two parts as causal and effect factors in Table 12. The causal factors can be sorted as F3 > F8 > F1 > F5 > F10 > F7, and the ranking of effect factors is obtained as F11 > F12 > F4 > F2 > F9 > F6. Through Table 12 and Figure 3, produce Quality (F3) was found to be the prime causal factor with a value of 0.0641. Price of product (F8) and green consciousness (F1) followed the primary factor with values 0.0577 and 0.0447. The environmental laws (F5), stockholders’ requirement (F10), and technology (F7), also can be categorized as driver factors, since the values are 0.0309, 0.0154, and 0.0048, which are greater than 0. These factors’ impacts are higher than other factors, such as monitoring (F11), income level (F12), customers’ demand (F4), government subsidies (F2), cost (F9), and green operation (F6). In order to demonstrate the advantage of this model, the result of DEMATEL was calculated to compare with WINGS, which is derived from DEMATEL. As shown in Table 14, most causal and effect factors are the same except for F10, which is the same factor with min T + L value between the two methods. Furthermore, F11, F7, F1, F12, F2, and F5 have a similar sequence to T + L values, but the other factors are different in both methods. The discrepancy is caused by the assumption that the WINGS considers the strength of the indicator itself, while DEMATEL omits these ingredients, which lacks a certain degree of accuracy.
Further analysis should be performed by categorizing all the factors into various quadrants, with factors above the X-axis being prominent as causal factors, and factors below the X-axis being effectors due to their dependence on causal factors. As illustrated in Figure 2, all the factors can be classified into four distinct clusters, where quadrant 1 is the least relevant factor or the least important factor. Monitoring (F11) lies in this group. Quadrant 2 is the causal group of factors that have a driving effect on other factors, but a weaker driving effect. Stockholders’ requirement (F10) and product quality (F3) belong to this area. The shareholders generally set the goals of corporate development based on their requirements, which in turn influence various activities, including production, sales, and management operations. The next quadrant 3 is the most important and critical factor in the causal group. Green consciousness (F1), product price (F8), environmental law (F5), and technology (F7) belong to this group, thus indicating their importance to AGSCM. As discussed above, these factors have a high degree of prominence and relationship, which are priorities in AGSCM, since they can dominate other influencing factors. The fourth quadrant is for factors of high importance in the effect group, which require immediate management attention and control to improve AGSCM. Green operations (F6), cost (F9), government subsidies (F2), customer demand (F4), and income level (F12) are in this area, which integrates the activities of various parties, such as government, consumers, and companies for improving the development of AGSCM.

6. Conclusions

This study concentrates on the hierarchical evaluation structure in a complete model and proposes a novel approach using fuzzy Delphi and grey WINGS to resolve the interrelationships and incomplete information to acquire the strength and relationship between the factors of AGSCM. The practical implications and insightful conclusions of this study can be explained as follows:
With the globalization of climate change, food crisis, and the issue of the vulnerability of the agricultural supply chain, AGSCM is a complex MCDM project, which requires high priority by any organizations that are facing competition and pressure from enterprises, society, and governments. Therefore, the AGSCM needs to be improved through the optimization of influencing factors. To meet the requirements of green development, managers and policy makers strike a balance between efficiency and redundancy in the AGSCM. It is very important for the top managers to actively focus on the critical factors.
In this paper, identifying the critical factors and the corresponding causal relationships in AGSCM is the purpose. These findings suggest some preliminary guidance for the successful implementation of AGSCM. In this paper, the novel integrated method utilizes a structural modeling tool based on fuzzy Delphi and grey WINGS to evaluate the various factors of AGSCM. The fuzzy-Delphi technique is a qualitative approach for gathering opinions from various participants, which can capture the ambiguity and uncertainty in the data. By combining grey systems theory with this method, it is quite practical for integrating the preferences and views of different experts. Through the causal diagram, the factors can be divided into cause-and-effect groups. From a research perspective, this approach is valuable for assessing the relative impact and strength of the various relationships in MCDM.
The implementation of the proposed model illustrates some perspectives on the actual application and management implications of AGSCM. Some fundamental factors have been found to adjust plan and solutions. Furthermore, the cause-and-effect relationships can help to identify the factors that practitioners and researchers need to consider in AGSCM.
Product quality (F3), price of product (F8), green consciousness (F1), and environmental law (F5) are the most vulnerable causal factors of AGSCM, which need more attention. Product price (F8) and quality (F3) are the eternal concerns of consumers. Product quality (F3) is one of the main tools for marketers to position themselves in the market, which has two components: level and consistency. Agricultural product quality means the ability of an agricultural product to perform its function, including its nutrition, taste, safety, and other attributes. Price of product (F8) is the basis for establishing a diversified market mechanism, designing an efficient incentive mechanism and playing an important role in positive incentive effect, which is related to the whole process of production and marketing. Reducing the cost of green agricultural products can improve the operation of AGSCM. Environmental laws (F5) and green consciousness (F1) are the important factors for improvement of AGSCM, which refer to the activities to reduce and minimize environmental pollution of various factors. Furthermore, green consciousness (F1) improves the social image and environmental performance with new life cycle assessment, which would influence stockholders’ perceptions. Environmental laws (F5) can guide agricultural production operators to scientific planting, breeding, application of pesticides, fertilizers, and other agricultural inputs. Moreover, the agricultural nonpoint pollution and other agricultural waste can also be reduced, so that AGSCM performance could be greatly developed.
Consumer demand (F4) is the number of items which consumers are able and willing to buy with any given price. The former is influenced by the level of demand for the good, the price of the good, and the price of the substitute good, while the latter is influenced by the consumer’s willingness to buy and the actual income level. Thus, it can be stated that the price of the agricultural product determines the quantity of consumer demand. Stockholders’ requirements (F10) are directly associated with activities of green product and process in AGSCM, as well as require incorporating green innovation for modifying product green operation, cost control, and satisfying customers’ demand.
Cost(F9) is the economic value of the resources consumed to produce and sell a certain type and quantity of products measured in money. The cost of agricultural products is influenced by a variety of factors, which require focusing on. Moreover, technology (F7) is an important support to improve agricultural production capacity and competitiveness. Agricultural technology is an irreplaceable and important guarantee for the promotion of supply chain management, which is an important support to promote the development of the agricultural economy. It is necessary to strengthen government support for agricultural technology promotion, deepen the reform of the agricultural technology promotion mechanism, innovate in the agricultural technology promotion organization, and form a socialized agricultural technology service system, which is necessary to adapt to the development of AGSCM.
Government subsidies (F2) can improve the efficiency of the entire green agricultural production, thus promoting the motivation of agricultural supply chain participants to utilize green technology and supply green agricultural products. Moreover, since government subsidies can compensate some costs of green product producers, these producers can offer green products at lower prices. For the whole society, government subsidies for green agricultural products improve the willingness of consumers to pay for green consumption and increase the consumer surplus that consumers can obtain by consuming green agricultural products. Monitoring (F11) refers to the management of political, economic, and social public affairs by the relevant departments, which can supervise and manage the behavior of the subjects at all levels in the green agricultural supply chain through laws and regulations. Monitoring is not only conducive to maintaining fair development rules, but also can create a harmonious and stable social environment, thus making the green supply chain develop in a better and healthier way.
In summary, all participants of AGSCM can analyze each influencing factor and its supporting causes, or they can identify the causal links of each influencing factor through a cause–effect diagram. This can help them identify and categorize those factors and their relationships that need more attention.
This paper has some limitations. Firstly, though a sizable number of specialists took part in the investigation, there might still be some bias in the experts’ assessments, and more experts can be invited to verify the statistical results of this study. Secondly, we have considered 19 factors of AGSCM, and more factors can be added at the expense of complexity. From this study, future studies could use other MCDM approaches, such as DEMATEL and ANP, and results can be compared to check the accuracy of grey WINGS. Furthermore, this proposed method could be extended to other MCDM problems in different industries, such as healthcare, the environment, pollution, transportation, etc.

Author Contributions

Conceptualization, methodology, formal analysis, writing paper, software, original draft preparation, M.W.; reviewing and editing, supervision, K.Z. All authors have read and agreed to the published version of the manuscript.

Funding

This research was funded by the National Social Science Foundation of China grant number 21BJY027.

Institutional Review Board Statement

Not applicable.

Informed Consent Statement

Not applicable.

Data Availability Statement

Not applicable.

Conflicts of Interest

The authors declare no conflict of interest.

References

  1. Cui, L.; Guo, S.; Zhang, H. Coordinating a Green Agri-Food Supply Chain with Revenue-Sharing Contracts Considering Retailers’ Green Marketing Efforts. Sustainability 2020, 12, 1289. [Google Scholar] [CrossRef]
  2. Tomasiello, S.; Alijani, Z. Fuzzy-Based Approaches for Agri-Food Supply Chains: A Mini-Review. Soft Comput. 2021, 25, 7479–7492. [Google Scholar] [CrossRef]
  3. Gardas, B.; Raut, R.; Cheikhrouhou, N.; Narkhede, B. A Hybrid Decision Support System for Analyzing Challenges of the Agricultural Supply Chain. Sustain. Prod. Consum. 2019, 18, 19–32. [Google Scholar] [CrossRef]
  4. Jum’a, L.; Zimon, D.; Ikram, M. A Relationship between Supply Chain Practices, Environmental Sustainability and Financial Performance: Evidence from Manufacturing Companies in Jordan. Sustainability 2021, 13, 2152. [Google Scholar] [CrossRef]
  5. Jum’a, L.; Zimon, D.; Ikram, M.; Madzik, P. Towards a Sustainability Paradigm; the Nexus between Lean Green Practices, Sustainability-Oriented Innovation and Triple Bottom Line. Int. J. Prod. Econ. 2022, 245, 108393. [Google Scholar] [CrossRef]
  6. Baghizadeh, K.; Zimon, D.; Jum’a, L. Modeling and Optimization Sustainable Forest Supply Chain Considering Discount in Transportation System and Supplier Selection under Uncertainty. Forests 2021, 12, 964. [Google Scholar] [CrossRef]
  7. Barman, A.; Das, R.; De, P.; Sana, S. Optimal Pricing and Greening Strategy in a Competitive Green Supply Chain: Impact of Government Subsidy and Tax Policy. Sustainability 2021, 13, 9178. [Google Scholar] [CrossRef]
  8. Chiu, C.; Cheng, C.; Wu, T. Integrated Operational Model of Green Closed-Loop Supply Chain. Sustainability 2021, 13, 6041. [Google Scholar] [CrossRef]
  9. Zimon, D.; Tyan, J.; Sroufe, R. Implementing Sustainable Supply Chain Management: Reactive, Cooperative, and Dynamic Models. Sustainability 2019, 11, 7227. [Google Scholar] [CrossRef]
  10. Du, Y.; Zhang, D.; Zou, Y. Sustainable Supplier Evaluation and Selection of Fresh Agricultural Products Based on IFAHP-TODIM Model. Math. Probl. Eng. 2020, 2020, 4792679. [Google Scholar] [CrossRef]
  11. Kumar, S.; Raut, R.; Nayal, K.; Kraus, S.; Yadav, V.; Narkhede, B. To Identify Industry 4.0 and Circular Economy Adoption Barriers in the Agriculture Supply Chain by Using ISM-ANP. J. Clean. Prod. 2021, 293, 126023. [Google Scholar] [CrossRef]
  12. Swain, M.; Zimon, D.; Singh, R.; Hashmi, M.; Rashid, M.; Hakak, S. LoRa-LBO: An Experimental Analysis of LoRa Link Budget Optimization in Custom Build IoT Test Bed for Agriculture 4.0. Agronomy 2021, 11, 820. [Google Scholar] [CrossRef]
  13. Park, A.; Li, H. The Effect of Blockchain Technology on Supply Chain Sustainability Performances. Sustainability 2021, 13, 1726. [Google Scholar] [CrossRef]
  14. Jum’a, L.; Ikram, M.; Alkalha, Z.; Alaraj, M. Factors Affecting Managers’ Intention to Adopt Green Supply Chain Management Practices: Evidence from Manufacturing Firms in Jordan. Environ. Sci. Pollut. Res. 2022, 29, 5605–5621. [Google Scholar] [CrossRef] [PubMed]
  15. Saaty, T. The Modern Science of Multicriteria Decision Making and Its Practical Applications: The AHP/ANP Approach. Oper. Res. 2013, 61, 1101–1118. [Google Scholar] [CrossRef]
  16. Abdullah, L.; Zulkifli, N. Integration of fuzzy AHP and interval type-2 fuzzy DEMATEL: An application to human resource management. Expert Syst. Appl. 2015, 42, 4397–4409. [Google Scholar] [CrossRef]
  17. Razavitoosi, S.L.; Samani, J.M.V. Prioritizing Watersheds Using a Novel Hybrid Decision Model Based on Fuzzy DEMATEL, Fuzzy ANP and Fuzzy VIKOR. Water Resour. Manag. 2017, 42, 2853–2867. [Google Scholar] [CrossRef]
  18. Lee, H.-S.; Tzeng, G.-H.; Yeih, W.; Wang, Y.-J.; Yang, S.-C. Revised DEMATEL: Resolving the Infeasibility of DEMATEL. Appl. Math. Model. 2013, 37, 6746–6757. [Google Scholar] [CrossRef]
  19. Bakir, S. Exploring the Critical Determinants of Environmentally Oriented Public Procurement Using the DEMATEL Method. J. Environ. Manag. 2018, 225, 325–335. [Google Scholar] [CrossRef]
  20. Patil, S.K.; Kant, R. Knowledge management adoption in supply chain: Identifying critical success factors using fuzzy DEMATEL approach. J. Modeling Manag. 2014, 9, 160–178. [Google Scholar] [CrossRef]
  21. Yao, L.; Yi, Z. A DEMATEL-Based Method for Linguistic Multiple Attributes Group Decision Making Using Strict t-Norms and t-Conorms. Systems 2022, 10, 98. [Google Scholar] [CrossRef]
  22. Kaur, J.; Sidhu, R.; Awasthi, A.; Chauhan, S.; Goyal, S. A DEMATEL Based Approach for Investigating Barriers in Green Supply Chain Management in Canadian Manufacturing Firms. Int. J. Prod. Res. 2018, 56, 312–332. [Google Scholar] [CrossRef]
  23. Michnik, J. Weighted Influence Non-Linear Gauge System (WINGS)—An Analysis Method for the Systems of Interrelated Components. Eur. J. Oper. Res. 2013, 228, 536–544. [Google Scholar] [CrossRef]
  24. Zimon, D.; Madzik, P.; Sroufe, R. The Influence of ISO 9001 & ISO 14001 on Sustainable Supply Chain Management in the Textile Industry. Sustainability 2020, 12, 4282. [Google Scholar] [CrossRef]
  25. Gong, R.; Xue, J.; Zhao, L.; Zolotova, O.; Ji, X.; Xu, Y. A Bibliometric Analysis of Green Supply Chain Management Based on the Web of Science (WOS) Platform. Sustainability 2019, 11, 3459. [Google Scholar] [CrossRef]
  26. Mangla, S.; Luthra, S.; Rich, N.; Kumar, D.; Rana, N.; Dwivedi, Y. Enablers to Implement Sustainable Initiatives in Agri-Food Supply Chains. Int. J. Prod. Econ. 2018, 203, 379–393. [Google Scholar] [CrossRef]
  27. Fu, H.; Li, J.; Li, Y.; Huang, S.; Sun, X. Risk Transfer Mechanism for Agricultural Products Supply Chain Based on Weather Index Insurance. Complex. Constr. Mega Infrastruct. Proj. 2018, 2018, 2369423. [Google Scholar] [CrossRef]
  28. Deng, L.; Xu, W.; Luo, J. Optimal Loan Pricing for Agricultural Supply Chains from a Green Credit Perspective. Sustainability 2021, 13, 2365. [Google Scholar] [CrossRef]
  29. Tseng, M.; Islam, M.; Karia, N.; Fauzi, F.; Afrin, S. A Literature Review on Green Supply Chain Management: Trends and Future Challenges. Resour. Conserv. Recycl. 2019, 141, 145–162. [Google Scholar] [CrossRef]
  30. Yang, C.; Lien, S. Governance Mechanisms for Green Supply Chain Partnership. Sustainability 2018, 10, 2681. [Google Scholar] [CrossRef] [Green Version]
  31. Herrmann, F.; Barbosa-Povoa, A.; Butturi, M.; Marinelli, S.; Sellitto, M. Green Supply Chain Management: Conceptual Framework and Models for Analysis. Sustainability 2021, 13, 8127. [Google Scholar] [CrossRef]
  32. Tarigan, Z.; Siagian, H.; Jie, F. Impact of Enhanced Enterprise Resource Planning (ERP) on Firm Performance through Green Supply Chain Management. Sustainability 2021, 13, 4358. [Google Scholar] [CrossRef]
  33. Lintukangas, K.; Kahkonen, A.; Ritala, P. Supply Risks as Drivers of Green Supply Management Adoption. J. Clean. Prod. 2016, 112, 1901–1909. [Google Scholar] [CrossRef]
  34. Zaid, A.; Jaaron, A.; Bon, A. The Impact of Green Human Resource Management and Green Supply Chain Management Practices on Sustainable Performance: An Empirical Study. J. Clean. Prod. 2018, 204, 965–979. [Google Scholar] [CrossRef]
  35. Yu, Y.; Zhang, M.; Huo, B. The Impact of Relational Capital on Green Supply Chain Management and Financial Performance. Prod. Plan. Control 2021, 32, 861–874. [Google Scholar] [CrossRef]
  36. Govindan, K.; Khodaverdi, R.; Vafadarnikjoo, A. Intuitionistic Fuzzy Based DEMATEL Method for Developing Green Practices and Performances in a Green Supply Chain. Expert Syst. Appl. 2015, 42, 7207–7220. [Google Scholar] [CrossRef]
  37. Hu, Q.; Xu, Q.; Xu, B. Introducing of Online Channel and Management Strategy for Green Agri-Food Supply Chain Based on Pick-Your-Own Operations. Int. J. Environ. Res. Public Health 2019, 16, 1990. [Google Scholar] [CrossRef]
  38. Long, Q.; Tao, X.; Shi, Y.; Zhang, S. Evolutionary Game Analysis Among Three Green-Sensitive Parties in Green Supply Chains. IEEE Trans. Evol. Comput. 2021, 25, 508–523. [Google Scholar] [CrossRef]
  39. Sharma, V.; Chandna, P.; Bhardwaj, A. Green Supply Chain Management Related Performance Indicators in Agro Industry: A Review. J. Clean. Prod. 2017, 141, 1194–1208. [Google Scholar] [CrossRef]
  40. Han, Z.; Huo, B. The Impact of Green Supply Chain Integration on Sustainable Performance. Ind. Manag. Data Syst. 2020, 120, 657–674. [Google Scholar] [CrossRef]
  41. Jeng, D.J.-F. Generating a Causal Model of Supply Chain Collaboration Using the Fuzzy DEMATEL Technique. Comput. Ind. Eng. 2015, 87, 283–295. [Google Scholar] [CrossRef]
  42. Govindan, K.; Azevedo, S.; Carvalho, H.; Cruz-Machado, V. Lean, Green and Resilient Practices Influence on Supply Chain Performance: Interpretive Structural Modeling Approach. Int. J. Environ. Sci. Technol. 2015, 12, 15–34. [Google Scholar] [CrossRef]
  43. Chang, C. Selection or Influence? The Position-Based Method to Analyzing Behavioral Similarity in Adolescent Social Networks. Int. J. Adolesc. Youth 2022, 27, 149–165. [Google Scholar] [CrossRef]
  44. Singh, M.; Jawalkar, C.; Kant, S. Analysis of Drivers for Green Supply Chain Management Adaptation in a Fertilizer Industry of Punjab (India). Int. J. Environ. Sci. Technol. 2019, 16, 2915–2926. [Google Scholar] [CrossRef]
  45. Bimpikis, K.; Fearing, D.; Tahbaz-Salehi, A. Multisourcing and Miscoordination in Supply Chain Networks. Oper. Res. 2018, 66, 1023–1039. [Google Scholar] [CrossRef]
  46. Mohseni, S.; Baghizadeh, K.; Pahl, J. Evaluating Barriers and Drivers to Sustainable Food Supply Chains. Math. Probl. Eng. 2022, 2022, 4486132. [Google Scholar] [CrossRef]
  47. Rejeb, A.; Rejeb, K.; Keogh, J.; Zailani, S. Barriers to Blockchain Adoption in the Circular Economy: A Fuzzy Delphi and Best-Worst Approach. Sustainability 2022, 14, 3611. [Google Scholar] [CrossRef]
  48. Kumar, A.; Dixit, G. An Analysis of Barriers Affecting the Implementation of E-Waste Management Practices in India: A Novel ISM-DEMATEL Approach. Sustain. Prod. Consum. 2018, 14, 36–52. [Google Scholar] [CrossRef]
  49. Govindan, K.; Nasr, A.; Karimi, F.; Mina, H. Circular Economy Adoption Barriers: An Extended Fuzzy Best-Worst Method Using Fuzzy DEMATEL and Supermatrix Structure. Bus. Strategy Environ. 2022, 31, 1566–1586. [Google Scholar] [CrossRef]
  50. Zhou, Y.; Xu, L.; Shaikh, G. Evaluating and Prioritizing the Green Supply Chain Management Practices in Pakistan: Based on Delphi and Fuzzy AHP Approach. Symmetry 2019, 11, 1346. [Google Scholar] [CrossRef] [Green Version]
  51. Wang, C.-N.; Nguyen, V.T.; Duong, D.H.; Do, H.T. A Hybrid Fuzzy Analytic Network Process (FANP) and Data Envelopment Analysis (DEA) Approach for Supplier Evaluation and Selection in the Rice Supply Chain. Symmetry 2018, 10, 221. [Google Scholar] [CrossRef]
  52. Banaeian, N.; Mobli, H.; Fahimnia, B.; Nielsen, I.E.; Omid, M. Green Supplier Selection Using Fuzzy Group Decision Making Methods: A Case Study from the Agri-Food Industry. Comput. Oper. Res. 2018, 89, 337–347. [Google Scholar] [CrossRef]
  53. Nasri, S.A.; Ehsani, B.; Hosseininezhad, S.J.; Safaie, N. A Sustainable Supplier Selection Method Using Integrated Fuzzy DEMA℡-ANP-DEA Approach (Case Study: Petroleum Industry). Environ. Dev. Sustain. 2022. [Google Scholar] [CrossRef]
  54. Alkharabsheh, A.; Moslem, S.; Oubahman, L.; Duleba, S. An Integrated Approach of Multi-Criteria Decision-Making and Grey Theory for Evaluating Urban Public Transportation Systems. Sustainability 2021, 13, 2740. [Google Scholar] [CrossRef]
  55. Nguyen, N.; Wang, C.; Dang, L.; Dang, L.; Dang, T. Selection of Cold Chain Logistics Service Providers Based on a Grey AHP and Grey COPRAS Framework: A Case Study in Vietnam. Axioms 2022, 11, 154. [Google Scholar] [CrossRef]
  56. Sun, H.; Mao, W.; Dang, Y.; Xu, Y. Optimum Path for Overcoming Barriers of Green Construction Supply Chain Management: A Grey Possibility DEMATEL-NK Approach. Comput. Ind. Eng. 2022, 164, 107833. [Google Scholar] [CrossRef]
  57. Chen, X.; Ding, Y.; Cory, C.; Hu, Y.; Wu, K.; Feng, X. A Decision Support Model for Subcontractor Selection Using a Hybrid Approach of QFD and AHP-Improved Grey Correlation Analysis. Eng. Constr. Archit. Manag. 2021, 28, 1780–1806. [Google Scholar] [CrossRef]
  58. Kumar, A.; Anbanandam, R. Analyzing Interrelationships and Prioritising the Factors Influencing Sustainable Intermodal Freight Transport System: A Grey-DANP Approach. J. Clean. Prod. 2020, 252, 119769. [Google Scholar] [CrossRef]
  59. Xu, J.; Jiang, X.; Wu, Z. A Sustainable Performance Assessment Framework for Plastic Film Supply Chain Management from a Chinese Perspective. Sustainability 2016, 8, 1042. [Google Scholar] [CrossRef]
  60. Ishikawa, A.; Amagasa, M.; Shiga, T.; Tomizawa, G.; Tatsuta, R.; Mieno, H. The Max-Min Delphi Method and Fuzzy Delphi Method via Fuzzy Integration. Fuzzy Sets Syst. 1993, 55, 241–253. [Google Scholar] [CrossRef]
  61. Cascella, M.; Miceli, L.; Cutugno, F.; Di Lorenzo, G.; Morabito, A.; Oriente, A.; Massazza, G.; Magni, A.; Marinangeli, F.; Cuomo, A.; et al. A Delphi Consensus Approach for the Management of Chronic Pain during and after the COVID-19 Era. Int. J. Environ. Res. Public Health 2021, 18, 13372. [Google Scholar] [CrossRef] [PubMed]
  62. Markou, M.; Michailidis, A.; Loizou, E.; Nastis, S.A.; Lazaridou, D.; Kountios, G.; Allahyari, M.S.; Stylianou, A.; Papadavid, G.; Mattas, K. Applying a Delphi-Type Approach to Estimate the Adaptation Cost on Agriculture to Climate Change in Cyprus. Atmosphere 2020, 11, 536. [Google Scholar] [CrossRef]
  63. van der Schans, M.; Yu, J.; Martin, G. Digital Luminaire Design Using LED Digital Twins—Accuracy and Reduced Computation Time: A Delphi4LED Methodology. Energies 2020, 13, 4979. [Google Scholar] [CrossRef]
  64. Liu, S.; Li, Y.; Fu, S.; Liu, X.; Liu, T.; Fan, H.; Cao, C. Establishing a Multidisciplinary Framework for an Emergency Food Supply System Using a Modified Delphi Approach. Foods 2022, 11, 1054. [Google Scholar] [CrossRef] [PubMed]
  65. Mei, W.-B.; Hsu, C.-Y.; Ou, S.-J. Research on the Evaluation Index System of the Construction of Communities Suitable for Aging by the Fuzzy Delphi Method. Environments 2020, 7, 92. [Google Scholar] [CrossRef]
  66. Feng, Y.; Zhang, Z.; Tian, G.; Fathollahi-Fard, A.M.; Hao, N.; Li, Z.; Wang, W.; Tan, J. A Novel Hybrid Fuzzy Grey TOPSIS Method: Supplier Evaluation of a Collaborative Manufacturing Enterprise. Appl. Sci. 2019, 9, 3770. [Google Scholar] [CrossRef]
  67. Wang, W.; Tian, Z.; Xi, W.; Tan, Y.R.; Deng, Y. The Influencing Factors of China’s Green Building Development: An Analysis Using RBF-WINGS Method. Build. Environ. 2021, 188, 107425. [Google Scholar] [CrossRef]
  68. Neira-Rodado, D.; Ortíz-Barrios, M.; De la Hoz-Escorcia, S.; Paggetti, C.; Noffrini, L.; Fratea, N. Smart Product Design Process through the Implementation of a Fuzzy Kano-AHP-DEMATEL-QFD Approach. Appl. Sci. 2020, 10, 1792. [Google Scholar] [CrossRef]
  69. Pourmehdi, M.; Paydar, M.; Asadi-Gangraj, E. Reaching Sustainability through Collection Center Selection Considering Risk: Using the Integration of Fuzzy ANP-TOPSIS and FMEA. Soft Comput. 2021, 25, 10885–10899. [Google Scholar] [CrossRef]
  70. Uygun, Ö.; Kaçamak, H.; Kahraman, Ü.A. An Integrated DEMATEL and Fuzzy ANP Techniques for Evaluation and Selection of Outsourcing Provider for a Telecommunication Company. Comput. Ind. Eng. 2015, 86, 137–146. [Google Scholar] [CrossRef]
  71. Hatefi, S.M.; Tamošaitienė, J. An integrated fuzzy DEMATEL-fuzzy ANP model for evaluating construction projects by considering interrelationships among risk factors. J. Civ. Eng. Manag. 2019, 25, 114–131. [Google Scholar] [CrossRef]
  72. Wang, M.; Tian, Y.; Zhang, K. The Fuzzy Weighted Influence Nonlinear Gauge System Method Extended with D Numbers and MICMAC. Complex Intell. Syst. 2022. [Google Scholar] [CrossRef]
  73. Padilla-Rivera, A.; Merveille, N. Social Circular Economy Indicators: Selection through Fuzzy Delphi Method. Sustain. Prod. Consum. 2021, 26, 101–110. [Google Scholar] [CrossRef]
Figure 1. The framework of fuzzy Delphi and grey WINGS.
Figure 1. The framework of fuzzy Delphi and grey WINGS.
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Figure 2. The cause−effect graph. Codes are the abbreviations of Factors.
Figure 2. The cause−effect graph. Codes are the abbreviations of Factors.
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Figure 3. Network diagram of interrelationships among factors.
Figure 3. Network diagram of interrelationships among factors.
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Table 1. Overview of relevant studies with MCDM methods.
Table 1. Overview of relevant studies with MCDM methods.
FindingsApproachRelevant Literature
Delphi and Fuzzy AHP methods are constructed to estimate the factors of green design, purchasing, production, warehousing, and logistics in supply chain practices.Delphi, Fuzzy AHP[50]
The research discusses the four main criteria, including product quality, production cost, customer requirements, and delivering time to select an effective supplier by Fuzzy ANP.Fuzzy ANP[51]
This article studied green supplier selection with the criteria of service, quality, price, and environment by using fuzzy TOPSIS.Fuzzy TOPSIS[52]
The case study developed a hybrid model with AHP and TOPSIS to evaluate a supply chain perspective within economic, environmental, and social dimensions.Fuzzy AHP, TOPSIS[59]
This work uncovered ten main factors to sustainable initiatives for ASCM, such as government pressure, stakeholder requirements, monitoring and auditing, competitive advantages, cost, and benefits, by using Fuzzy DEMATEL.Fuzzy DEMATEL[26]
This method proposes a model combing DEMATEL and ANP to assess indicators such as services, technology, environmental, financial, and economic dimension in sustainable supplier selection.Fuzzy ANP, DEMATEL[53]
DEMATEL: Decision-Making Trial and Evaluation Laboratory; TOPSIS: Technique for Order Preference by Similarity to an Ideal Solution; ANP: Analytic Network Process; AHP: Analytic Hierarchy Process.
Table 2. Comparations within different approaches.
Table 2. Comparations within different approaches.
ApproachInterdependencies of FactorsIntensity of ImpactThe Strength of FactorsGroup Fuzzy Assessments
FAHP--s-
FANP--s-
FDEMATELss--
Grey–WINGSssss
WINGS: Weighted Influence Nonlinear Gauge System.
Table 3. Linguistic scale with triangular fuzzy number.
Table 3. Linguistic scale with triangular fuzzy number.
Linguistic ValuesNumbersCorresponding Triangular Fuzzy Number
Very unimportant1(0.1,0.1,0.3)
Unimportant3(0.1,0.3,0.5)
Normal5(0.3,0.5,0.7)
Important7(0.5,0.7,0.9)
Very important9(0.7,0.9,0.9)
Table 4. Grey linguistic scales.
Table 4. Grey linguistic scales.
Linguistic VariablesInfluence NumberRelated Grey Numbers
None (N)0[0.0,0.0]
Low (L)1[0.0,0.25]
Medium (M)2[0.25,0.5]
High (H)3[0.5,0.75]
Very high (VH)4[0.75,1.0]
Table 5. Information of the experts.
Table 5. Information of the experts.
NoGenderPositionWork Experience
Exp 1MaleProfessor20
Exp 2FemaleProfessor22
Exp 3MaleRural cooperative manager18
Exp 4MaleRural cooperative manager15
Exp 5MaleSupply chain manager16
Exp 6MaleSupply chain manager18
Exp 7FemaleFarmer23
Exp 8MaleFarmer25
Exp 9MaleAgricultural consultant12
Exp 10FemaleAgricultural consultant14
Exp: expert.
Table 6. Finalizing factors using fuzzy Delphi.
Table 6. Finalizing factors using fuzzy Delphi.
NoFactorsFuzzy Weight DefuzzificationSelectionCodes
1Green consciousness(0.3,0.76,0.9)0.65F1
2Competitive pressure(0.1,0.38,0.9)0.46--
3Government subsidies (0.3,0.60,0.9)0.60F2
4Produce Quality(0.5,0.81,0.9)0.74F3
5Customers’ demand(0.3,0.77,0.9)0.66F4
6Environmental laws(0.3,0.71,0.9)0.64F5
7Logistics(0.1,0.30,0.9)0.43--
8Renewable material(0.1,0.28,0.7)0.36--
9Green operation(0.3,0.68,0.9)0.63F6
10Technology(0.3,0.62,0.9)0.61F7
11Reducing waste(0.1,0.43,0.9)0.48--
12Price of product(0.3,0.7,0.9)0.63F8
13Cost(0.3,0.77,0.9)0.66F9
14Stockholders’ requirement(0.3,0.64,0.9)0.61F10
15Monitoring(0.3,0.69,0.9)0.63F11
16Social responsibilities(0.1,0.48,0.9)0.49--
17Infrastructure(0.1,0.42,0.9)0.47--
18Income level(0.3,0.68,0.9)0.63F12
19Reusable packaging(0.1,0.28,0.7)0.36--
Codes are the abbreviations of Factors.
Table 7. The grey initial strength relationship matrix from Exp 1.
Table 7. The grey initial strength relationship matrix from Exp 1.
F1F2F3F4F5F6F7F8F9F10F11F12
F1(0.75,1)(0.75,1)(0,0.25)(0.5,0.75)(0.25,0.5)(0.25,0.5)(0.25,0.5)(0.25,0.5)(0.75,1)(0.25,0.5)(0,0.25)(0,0.25)
F2(0.5,0.75)(0.75,1)(0,0.25)(0,0.25)(0,0.25)(0.25,0.5)(0.25,0.5)(0,0.25)(0,0.25)(0,0.25)(0,0.25)(0.25,0.5)
F3(0.5,0.75)(0.5,0.75)(0,0.25)(0.5,0.75)(0.5,0.75)(0.25,0.5)(0.25,0.5)(0,0.25)(0.25,0.5)(0.25,0.5)(0,0.25)(0.25,0.5)
F4(0.75,1)(0.75,1)(0,0.25)(0.75,1)(0,0.25)(0.25,0.5)(0.25,0.5)(0.25,0.5)(0.25,0.5)(0.25,0.5)(0,0.25)(0.25,0.5)
F5(0.75,1)(0.75,1)(0.75,1)(0.75,1)(0,0)(0.5,0.75)(0.5,0.75)(0.5,0.75)(0.75,1)(0.5,0.75)(0,0.25)(0.25,0.5)
F6(0.75,1)(0.75,1)(0.75,1)(0.75,1)(0.5,0.75)(0.75,1)(0.25,0.5)(0.25,0.5)(0.5,0.75)(0.25,0.5)(0,0.25)(0.25,0.5)
F7(0.75,1)(0.75,1)(0.25,0.5)(0.75,1)(0.5,0.75)(0.5,0.75)(0.5,0.75)(0.5,0.75)(0.75,1)(0.25,0.5)(0.25,0.5)(0.5,0.75)
F8(0.75,1)(0.75,1)(0.75,1)(0.5,0.75)(0,0.25)(0,0.25)(0.5,0.75)(0.5,0.75)(0.75,1)(0.25,0.5)(0,0.25)(0,0.25)
F9(0.75,1)(0.75,1)(0.25,0.5)(0.5,0.75)(0.25,0.5)(0.5,0.75)(0.5,0.75)(0.25,0.5)(0.75,1)(0.25,0.5)(0.25,0.5)(0.5,0.75)
F10(0.75,1)(0.75,1)(0.25,0.5)(0.75,1)(0.25,0.5)(0.5,0.75)(0.5,0.75)(0.5,0.75)(0.5,0.75)(0,0.25)(0,0.25)(0.25,0.5)
F11(0.75,1)(0.75,1)(0.25,0.5)(0.75,1)(0.25,0.5)(0.25,0.5)(0.25,0.5)(0.5,0.75)(0.25,0.5)(0.25,0.5)(0,0.25)(0.25,0.5)
F12(0.75,1)(0.75,1)(0,0.25)(0.75,1)(0,0.25)(0,0.25)(0,0.25)(0.5,0.75)(0.25,0.5)(0,0.25)(0,0.25)(0,0.25)
Table 8. Average grey matrix of expert evaluations.
Table 8. Average grey matrix of expert evaluations.
F1F2F3F4F5F6F7F8F9F10F11F12
F1[0.5,0.725][0.475,0.725][0.375,0.625][0.35,0.575][0.4,0.6][0.45,0.7][0.375,0.575][0.4,0.65][0.525,0.75][0.55,0.8][0.4,0.625][0.375,0.6]
F2[0.4,0.625][0.6,0.825][0.375,0.625][0.275,0.525][0.4,0.65][0.425,0.675][0.325,0.575][0.3,0.5][0.375,0.625][0.45,0.7][0.375,0.6][0.4,0.65]
F3[0.5,0.725][0.5,0.75][0.525,0.775][0.425,0.675][0.4,0.625][0.4,0.65][0.325,0.55][0.275,0.5][0.45,0.7][0.525,0.775][0.35,0.55][0.375,0.6]
F4[0.475,0.725][0.475,0.725][0.425,0.675][0.575,0.825][0.35,0.6][0.35,0.6][0.25,0.5][0.425,0.675][0.3,0.55][0.375,0.6][0.35,0.575][0.375,0.625]
F5[0.475,0.7][0.5,0.75][0.55,0.8][0.5,0.725][0.45,0.675][0.525,0.775][0.4,0.65][0.375,0.625][0.425,0.675][0.4,0.625][0.35,0.55][0.375,0.625]
F6[0.4,0.65][0.35,0.575][0.45,0.7][0.35,0.6][0.3,0.525][0.5,0.75][0.325,0.575][0.35,0.6][0.4,0.625][0.375,0.625][0.375,0.6][0.225,0.45]
F7[0.5,0.725][0.5,0.75][0.425,0.65][0.425,0.675][0.425,0.675][0.425,0.675][0.375,0.625][0.35,0.575][0.45,0.7][0.375,0.6][0.3,0.55][0.4,0.625]
F8[0.65,0.9][0.6,0.825][0.525,0.775][0.475,0.725][0.3,0.55][0.35,0.6][0.45,0.7][0.475,0.725][0.45,0.675][0.375,0.625][0.25,0.5][0.35,0.6]
F9[0.4,0.6][0.5,0.75][0.375,0.625][0.475,0.725][0.25,0.475][0.45,0.7][0.35,0.6][0.275,0.5][0.6,0.85][0.375,0.625][0.275,0.475][0.35,0.6]
F10[0.4,0.65][0.4,0.625][0.425,0.65][0.45,0.675][0.225,0.45][0.225,0.475][0.225,0.45][0.35,0.6][0.525,0.775][0.475,0.725][0.325,0.55][0.275,0.525]
F11[0.525,0.775][0.525,0.75][0.375,0.625][0.55,0.8][0.275,0.525][0.35,0.6][0.35,0.6][0.325,0.55][0.275,0.475][0.375,0.625][0.375,0.575][0.275,0.525]
F12[0.45,0.675][0.55,0.8][0.375,0.625][0.4,0.65][0.25,0.45][0.4,0.65][0.325,0.55][0.325,0.55][0.4,0.65][0.425,0.675][0.4,0.65][0.5,0.75]
Table 9. The crisp strength–influence matrix.
Table 9. The crisp strength–influence matrix.
F1F2F3F4F5F6F7F8F9F10F11F12
F10.12710.14680.00000.07200.18460.22310.15850.14770.29660.20610.16410.1633
F20.00140.27700.00000.00000.20610.19830.11770.02780.12700.08920.13670.2004
F30.12710.17590.14530.14880.19440.17360.11080.00000.21890.17690.10390.1633
F40.10360.14680.04840.29750.14770.12400.03050.17690.03520.00000.10940.1719
F50.09570.17590.16960.21370.25000.29750.20500.11840.18830.02770.10390.1719
F60.00550.00000.07270.07440.08330.27270.11770.08920.14890.00150.13670.0000
F70.12710.17590.04690.14880.23540.19830.17590.08330.21890.00000.05950.1905
F80.33270.27700.14530.19830.08920.12400.26320.23540.20790.00150.00160.1435
F90.00000.17590.00000.19830.02780.22310.14680.00000.40260.00150.02730.1435
F100.00550.05540.04690.16650.00000.00000.00000.08920.31080.11840.08200.0581
F110.16910.19390.00000.27270.05990.12400.14680.05560.00000.00150.12940.0581
F120.06430.23410.00000.12400.02780.17360.11080.05560.15770.06000.17530.3142
Table 10. The normalized crisp strength–influence matrix.
Table 10. The normalized crisp strength–influence matrix.
F1F2F3F4F5F6F7F8F9F10F11F12
F10.00700.00810.00000.00400.01020.01230.00880.00820.01640.01140.00910.0090
F20.00010.01530.00000.00000.01140.01100.00650.00150.00700.00490.00760.0111
F30.00700.00970.00800.00820.01070.00960.00610.00000.01210.00980.00570.0090
F40.00570.00810.00270.01640.00820.00690.00170.00980.00190.00000.00600.0095
F50.00530.00970.00940.01180.01380.01640.01130.00650.01040.00150.00570.0095
F60.00030.00000.00400.00410.00460.01510.00650.00490.00820.00010.00760.0000
F70.00700.00970.00260.00820.01300.01100.00970.00460.01210.00000.00330.0105
F80.01840.01530.00800.01100.00490.00690.01450.01300.01150.00010.00010.0079
F90.00000.00970.00000.01100.00150.01230.00810.00000.02230.00010.00150.0079
F100.00030.00310.00260.00920.00000.00000.00000.00490.01720.00650.00450.0032
F110.00930.01070.00000.01510.00330.00690.00810.00310.00000.00010.00720.0032
F120.00360.01290.00000.00690.00150.00960.00610.00310.00870.00330.00970.0174
Table 11. The total strength–influence matrix.
Table 11. The total strength–influence matrix.
F1F2F3F4F5F6F7F8F9F10F11F12
F10.00750.00910.00030.00500.01090.01350.00960.00870.01770.01170.00970.0099
F20.00040.01610.00020.00060.01200.01190.00710.00180.00780.00510.00810.0118
F30.00740.01060.00830.00910.01140.01070.00680.00040.01330.01010.00630.0099
F40.00620.00890.00300.01720.00880.00780.00230.01030.00260.00020.00650.0103
F50.00590.01080.00980.01290.01470.01780.01220.00710.01160.00180.00640.0105
F60.00060.00050.00420.00470.00500.01580.00700.00520.00880.00020.00790.0004
F70.00740.01070.00290.00900.01380.01220.01050.00510.01320.00020.00390.0114
F80.01910.01660.00830.01190.00590.00820.01550.01370.01290.00050.00080.0090
F90.00020.01040.00010.01170.00200.01320.00860.00030.02320.00020.00190.0086
F100.00050.00360.00270.00980.00020.00050.00040.00510.01790.00660.00470.0037
F110.00970.01140.00020.01570.00390.00770.00860.00350.00060.00030.00770.0038
F120.00400.01380.00010.00760.00200.01050.00670.00350.00950.00350.01030.0182
Table 12. Prominence and relation of value elements.
Table 12. Prominence and relation of value elements.
FactorsTLT + LT − L
F10.11360.06890.18250.0447
F20.08290.12250.2055−0.0396
F30.10430.04020.14440.0641
F40.08410.11530.1994−0.0311
F50.12150.09060.21210.0309
F60.06010.12960.1897−0.0694
F70.10020.09540.19550.0048
F80.12240.06470.18720.0577
F90.08050.13910.2196−0.0586
F100.05580.04040.09620.0154
F110.07300.07430.1473−0.0012
F120.08980.10730.1971−0.0176
Table 13. Interaction matrix of factors.
Table 13. Interaction matrix of factors.
F1F2F3F4F5F6F7F8F9F10F11F12
F1
F2
F3
F4
F5
F6
F7
F8
F9
F10
F11
F12
∆ presents the interrelationship between factors.
Table 14. The values calculated by DEMATEL.
Table 14. The values calculated by DEMATEL.
FactorsTLT + LT − L
F1 0.09860.08580.18440.0129
F20.08870.09890.1876−0.0102
F30.09420.09070.18490.0035
F40.08940.09050.1799−0.0012
F50.10000.08660.18660.0133
F60.08350.08910.1726−0.0056
F70.09500.08630.18130.0087
F80.09770.09060.18830.0071
F90.08580.09180.1777−0.0060
F100.08150.08920.1708−0.0077
F110.08670.09370.1803−0.0070
F120.08870.09640.1850−0.0077
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Wang, M.; Zhang, K. Improving Agricultural Green Supply Chain Management by a Novel Integrated Fuzzy-Delphi and Grey-WINGS Model. Agriculture 2022, 12, 1512. https://doi.org/10.3390/agriculture12101512

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Wang M, Zhang K. Improving Agricultural Green Supply Chain Management by a Novel Integrated Fuzzy-Delphi and Grey-WINGS Model. Agriculture. 2022; 12(10):1512. https://doi.org/10.3390/agriculture12101512

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Wang, Muwen, and Kecheng Zhang. 2022. "Improving Agricultural Green Supply Chain Management by a Novel Integrated Fuzzy-Delphi and Grey-WINGS Model" Agriculture 12, no. 10: 1512. https://doi.org/10.3390/agriculture12101512

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Wang, M., & Zhang, K. (2022). Improving Agricultural Green Supply Chain Management by a Novel Integrated Fuzzy-Delphi and Grey-WINGS Model. Agriculture, 12(10), 1512. https://doi.org/10.3390/agriculture12101512

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