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Mathematics
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Fuzzy Decision Making and Applications
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Fuzzy Decision Making and Applications

A special issue of Mathematics (ISSN 2227-7390). This special issue belongs to the section "D2: Operations Research and Fuzzy Decision Making".

Deadline for manuscript submissions: closed (30 October 2024) | Viewed by 12512

Special Issue Editors

Dr. Rajeev Kumar

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Guest Editor
Centre for Innovation and Technology, Administrative Staff College of India, Hyderabad 500082, Telangana, India
Interests: fuzzy decision making; decision support system; software durability; software security; healthcare informatics
Special Issues, Collections and Topics in MDPI journals
Dr. Suhel Ahmad Khan

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Guest Editor
Department of Computer Science, Indira Gandhi National Tribal University, Amarkantak 484887, Madhya Pradesh, India
Interests: software engineering; software security; security testing; healthcare applications
Dr. Alka Agrawal

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Guest Editor
Department of Information Technology, Babasaheb Bhimrao Ambedkar University, Lucknow 226025, Uttar Pradesh, India
Interests: software security; software vulnerability; software usability; healthcare applications
Prof. Dr. Raees Ahmad Khan

E-Mail Website
Guest Editor
Department of Information Technology, Babasaheb Bhimrao Ambedkar University, Lucknow 226025, Uttar Pradesh, India
Interests: software security; quality; testing; reliability; durability; healthcare

Special Issue Information

Dear Colleagues,

Although there is a long history of research on fuzzy logic and soft computing in the field of decision-making, it is still appealing due to the potential to solve a variety of real-world issues using the unique properties of the systems created by these methodologies. Decision-making systems should frequently cope with unclear facts, in particular. Additionally, a relevant confidence measure must be linked to the classification result in some application domains, such as differential diagnosis in medicine, in order to display all potential outcomes along with their relative likelihood. Since its debut by Zadeh (1965) in the 1960s, the discipline of "Fuzzy Decision Making and Applications" has been expanding its topic and boundaries in order to represent the complicated requirements of the information society. The fuzzy set's expansion to the bipolar fuzzy set, the intuitionistic fuzzy set, the hesitant fuzzy set, and other fuzzy sets is at the heart of the concept. Fuzzy decision-making and its applications in a variety of fields, including enterprise development planning of strategy initiatives, supplier selection in a supply chain, performance evaluation, site selection, safety evaluation, pattern recognition, and other quantitative measurements, have drawn the attention of an increasing number of researchers in recent years. In this row, our pleasure in publishing this Special Issue of Mathematics, which is a cross-section of research on fuzzy decision-making and applications affecting both social sciences and engineering technologies, stems from this.

Dr. Rajeev Kumar
Dr. Suhel Ahmad Khan
Dr. Alka Agrawal
Prof. Dr. Raees Ahmad Khan
Guest Editors

Manuscript Submission Information

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Submitted manuscripts should not have been published previously, nor be under consideration for publication elsewhere (except conference proceedings papers). All manuscripts are thoroughly refereed through a single-blind peer-review process. A guide for authors and other relevant information for submission of manuscripts is available on the Instructions for Authors page. Mathematics is an international peer-reviewed open access semimonthly journal published by MDPI.

Please visit the Instructions for Authors page before submitting a manuscript. The Article Processing Charge (APC) for publication in this open access journal is 2600 CHF (Swiss Francs). Submitted papers should be well formatted and use good English. Authors may use MDPI's English editing service prior to publication or during author revisions.

Keywords

  • fuzzy theory
  • fuzzy decision theory and method
  • pair-wise comparisons matrix
  • decision-making
  • multi-criteria decision-making
  • group decision-making
  • engineering and scientific applications
  • supplier selection in a supply chain

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Published Papers (7 papers)

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Research

27 pages, 3581 KiB  
Article
Sustainable Design Factors and Solutions Analysis and Assessment for the Graphic Design Industry: A Hybrid Fuzzy AHP–Fuzzy MARCOS Approach
by Chia-Liang Lin
Mathematics 2024, 12(24), 4014; https://doi.org/10.3390/math12244014 - 21 Dec 2024
Viewed by 566
Abstract
Within the realm of graphic design sustainability, selecting appropriate solutions has become a crucial strategic decision for organizations aiming to optimize their operations. This paper presents a novel hybrid multi-criteria decision-making (MCDM) approach, integrating a fuzzy analytical hierarchy process (FAHP) and fuzzy measurement [...] Read more.
Within the realm of graphic design sustainability, selecting appropriate solutions has become a crucial strategic decision for organizations aiming to optimize their operations. This paper presents a novel hybrid multi-criteria decision-making (MCDM) approach, integrating a fuzzy analytical hierarchy process (FAHP) and fuzzy measurement alternatives and ranking according to compromise solution (FMARCOS). Evaluation criteria for graphic design sustainability are determined through consultation with experts, with their judgments expressed using linguistic terms based on fuzzy numbers. Criteria weights are calculated using FAHP, and the ranking and selection of the optimal potential solution are determined using FMARCOS. Subsequently, sensitivity analysis of the criteria weights is conducted to validate the results. Findings indicate that the integrated FAHP and FMARCOS model provides a robust and adaptable assessment framework for graphic design sustainability, enabling companies to navigate complexities strategically and effectively. The key contribution of this research is its emphasis on a systematic and objective model, offering practical insights relevant to the industry. It also serves as a valuable benchmark for future research in similar fields. Full article
(This article belongs to the Special Issue Fuzzy Decision Making and Applications)
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14 pages, 728 KiB  
Article
Fermatean Vague Soft Set and Its Application in Decision Making
by Abedallah Al-shboul, Khaleed Alhazaymeh, Kah Lun Wang and Kok Bin Wong
Mathematics 2024, 12(23), 3699; https://doi.org/10.3390/math12233699 - 26 Nov 2024
Viewed by 752
Abstract
In this paper, we introduce the concept of Fermatean vague soft set and its operations, which are union, intersection, complement, subset, AND, and OR. An application of Fermatean vague soft set in decision-making according to the degree of preference is demonstrated. Fermatean vague [...] Read more.
In this paper, we introduce the concept of Fermatean vague soft set and its operations, which are union, intersection, complement, subset, AND, and OR. An application of Fermatean vague soft set in decision-making according to the degree of preference is demonstrated. Fermatean vague soft set is profound, as it bridges gaps in traditional vague and soft set theories. By offering enhanced precision and flexibility, the Fermatean vague soft set provides decision-makers with a powerful tool to tackle challenges in fields like artificial intelligence, operational research, and engineering design, ultimately driving more accurate and reliable outcomes Full article
(This article belongs to the Special Issue Fuzzy Decision Making and Applications)
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27 pages, 2433 KiB  
Article
New Fermatean Fuzzy Distance Metric and Its Utilization in the Assessment of Security Crises Using the MCDM Technique
by Paul Augustine Ejegwa, Manasseh Terna Anum, Nasreen Kausar, Chukwudi Obinna Nwokoro, Nezir Aydin and Hao Yu
Mathematics 2024, 12(20), 3214; https://doi.org/10.3390/math12203214 - 14 Oct 2024
Viewed by 963
Abstract
The problem of insecurity is a global phenomenon that has several forms like terrorism, banditry, kidnappings, etc. Insecurity has taken hold in the Sub-Saharan Region of West Africa, especially in Nigeria, for over two decades. Nigeria’s security crisis is more pronounced in the [...] Read more.
The problem of insecurity is a global phenomenon that has several forms like terrorism, banditry, kidnappings, etc. Insecurity has taken hold in the Sub-Saharan Region of West Africa, especially in Nigeria, for over two decades. Nigeria’s security crisis is more pronounced in the Northern Region, with a new wave in the North-Central Region of Nigeria. It is herculean to assess insecurity in the North-Central Region of Nigeria because of the region’s fuzzy or imprecise nature of insecurity. This constitutes the rationale for deploying the Fermatean fuzzy technique to assess insecurity due to the capacity of the Fermatean fuzzy scheme to handle imprecision. To this end, a new Fermatean fuzzy distance metric is presented to evaluate insecurity in the North-Central Region of Nigeria using a multi-criteria decision-making technique. To express the logic for creating the new Fermatean fuzzy distance metric, some existing Fermatean fuzzy distance metrics are discussed, along with their drawbacks. The mathematical properties of the new technique are discussed, and the new method is applied computationally to assess insecurity in the North-Central Region of Nigeria. The data for the security assessment are collected via Fermatean fuzzy linguistic variables using the opinions of security experts and analyzed using the technique for order of preference by similarity to ideal solution, which is a commonly used multi-criteria decision-making method. Finally, the numerical validity of the new technique is expressed with comparative results, and the finding shows the benefit of the new distance approach over the existing methodologies. The outcome of the work will provide reliable traveling advisories for safe voyages within the region. Full article
(This article belongs to the Special Issue Fuzzy Decision Making and Applications)
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41 pages, 12257 KiB  
Article
Comparative Sensitivity Analysis of Some Fuzzy AHP Methods
by Irina Vinogradova-Zinkevič
Mathematics 2023, 11(24), 4984; https://doi.org/10.3390/math11244984 - 17 Dec 2023
Cited by 6 | Viewed by 2292
Abstract
A precise evaluation of the actual situation is a significant aspect of making a correct and informed decision. Due to the bounded accuracy and elements of uncertainty in the data itself, a point estimate may be less adjusted and rough than an estimate [...] Read more.
A precise evaluation of the actual situation is a significant aspect of making a correct and informed decision. Due to the bounded accuracy and elements of uncertainty in the data itself, a point estimate may be less adjusted and rough than an estimate based on fuzzy set theory. The stability of the Fuzzy AHP Arithmetic mean, Geometric mean, Extent analysis, and Lambda Max methods, widely used in practice, is verified. Three stages of verification are considered, investigating the impact of the following: (a) the scale applied; (b) methods of aggregation of the AHP matrices into the FAHP matrix; and (c) methods of combining several FAHP judgments. Slight changes in experts’ estimates are programmatically simulated tens of thousands of times to track changes in ranking and deviations of results from the initial estimate. This continues the study of FAHP’s stability due to the ambiguous results of such verification by the method of extent analysis. As a result of a comparative analysis of the listed evaluation methods, their specific features and advantages are identified. Full article
(This article belongs to the Special Issue Fuzzy Decision Making and Applications)
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24 pages, 444 KiB  
Article
Exploring Hybrid H-bi-Ideals in Hemirings: Characterizations and Applications in Decision Making
by Asmat Hadi, Asghar Khan, Nosheen Faiz, Dost Muhammad Khan, Rashad A. R. Bantan and Mohammed Elgarhy
Mathematics 2023, 11(17), 3683; https://doi.org/10.3390/math11173683 - 26 Aug 2023
Viewed by 1146
Abstract
The concept of the hybrid structure, as an extension of both soft sets and fuzzy sets, has gained significant attention in various mathematical and decision-making domains. In this paper, we delve into the realm of hemirings and investigate the properties of hybrid h-bi-ideals, [...] Read more.
The concept of the hybrid structure, as an extension of both soft sets and fuzzy sets, has gained significant attention in various mathematical and decision-making domains. In this paper, we delve into the realm of hemirings and investigate the properties of hybrid h-bi-ideals, including prime, strongly prime, semiprime, irreducible, and strongly irreducible ones. By employing these hybrid h-bi-ideals, we provide insightful characterizations of h-hemiregular and h-intra-hemiregular hemirings, offering a deeper understanding of their algebraic structures. Beyond theoretical implications, we demonstrate the practical value of hybrid structures and decision-making theory in handling real-world problems under imprecise environments. Using the proposed decision-making algorithm based on hybrid structures, we have successfully addressed a significant real-world problem, showcasing the efficacy of this approach in providing robust solutions. Full article
(This article belongs to the Special Issue Fuzzy Decision Making and Applications)
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26 pages, 2200 KiB  
Article
Fuzzy-Based Unified Decision-Making Technique to Evaluate Security Risks: A Healthcare Perspective
by Abdulaziz Attaallah, Khalil al-Sulbi, Areej Alasiry, Mehrez Marzougui, Syed Anas Ansar, Alka Agrawal, Md Tarique Jamal Ansari and Raees Ahmad Khan
Mathematics 2023, 11(11), 2554; https://doi.org/10.3390/math11112554 - 2 Jun 2023
Cited by 11 | Viewed by 2345
Abstract
Neoteric biomedical, technological, and normative shifts have prompted care firms to establish clinical governance as a contrivance to assure high-quality service in an exceedingly intricate milieu. Web security is an epochal concern in the healthcare sector, although it has garnered scant attention since [...] Read more.
Neoteric biomedical, technological, and normative shifts have prompted care firms to establish clinical governance as a contrivance to assure high-quality service in an exceedingly intricate milieu. Web security is an epochal concern in the healthcare sector, although it has garnered scant attention since the inception of web applications. The necessity to provide adequate security for healthcare web applications (HWAs) cannot be exaggerated, as umpteen health agencies are contingent on them to carry out their operations. Every healthcare organization renders a humongous volume of data available online to practitioners, pharmacies, and patients. Researchers are continually endeavoring to ameliorate techniques to increase the security and longevity of HWAs. In this context, experts examined certain imperative security risks in HWAs to quantitatively evaluate them in the design phase and covered numerous facets of HWAs, along with their security attributes and risk factors. The authors have proposed a combined approach of fuzzy-based symmetric techniques, i.e., AHP-TOPSIS (Analytic Hierarchy Process–Technique for Order of Preference by Similarity to Ideal Solution), for the assessment of alternative HWAs, leveraging the multi-criteria decision-making (MCDM) approach. Ten consecutive HWAs from local hospitals in Uttar Pradesh, India, have been taken to estimate the security risk, incorporating this methodology to evaluate the priority of weightage and the impact of security attributes. Henceforth, the findings and methodology employed in this study can assist security practitioners in identifying and prioritizing the most influential risk factors to secure HWAs and encourage them to develop revamped or novel methods. Full article
(This article belongs to the Special Issue Fuzzy Decision Making and Applications)
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19 pages, 1851 KiB  
Article
A New Approach to Artificial Intelligent Based Three-Way Decision Making and Analyzing S-Box Image Encryption Using TOPSIS Method
by Saleem Abdullah, Alaa O. Almagrabi and Ihsan Ullah
Mathematics 2023, 11(6), 1559; https://doi.org/10.3390/math11061559 - 22 Mar 2023
Cited by 13 | Viewed by 2322
Abstract
In fuzzy artificial intelligent decision support systems, three-way intelligent-decision making (TWIDM) has played a very important role in ranking objects under the double hierarchy linguistic variable (DHLV). The 8 × 8 S-boxes are very important for image encryption in secure communication. Therefore, the [...] Read more.
In fuzzy artificial intelligent decision support systems, three-way intelligent-decision making (TWIDM) has played a very important role in ranking objects under the double hierarchy linguistic variable (DHLV). The 8 × 8 S-boxes are very important for image encryption in secure communication. Therefore, the aim of the present study is to develop a new approach to artificial intelligent three-way decision making via DHLV and apply it to S-box image encryption. Artificial intelligent based three-way decision-making problems with double hierarchy hesitant linguistic terms are developed. The first and second hierarchy hesitant linguistic term sets make up the double hierarchy hesitant linguistic term set, which allows for more flexible expressions of doubt and fuzziness. First, we define the Einstein operational laws, score function, and Einstein aggregation operators; i.e., double hierarchy hesitant linguistic Einstein weighted averaging and weighted geometric operators. First, the unknown weight vector for decision experts is determined by using aggregation operators and entropy measures for DHLV. Then, we find the weight vector for our criteria by using the distance measure. In TWIDM, conditional probability is determined by using the extended TOPSIS method for evaluating the S-boxes for image encryption. The expected losses are then computed by aggregating the loss functions with the help of Einstein-weighted averaging aggregation operators. Finally, we apply the minimum-loss decision rules for the selection of S-box to image encryption. The proposed decision technique has been compared with existing three-way decisions and the result of proposed three-way decision making for analyzing and ranking the S-box is very good and reliable for decision making. Full article
(This article belongs to the Special Issue Fuzzy Decision Making and Applications)
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