Fulfilling External Stakeholders’ Demands—Enhancement Workplace Safety Using Fuzzy MCDM
Abstract
:1. Introduction
2. Literature Review
2.1. Stakeholder Management in Companies
2.2. Fuzzy Delphi Method
2.3. Fuzzy MCDM
3. The Problem Statement
3.1. Formalization of the Stakeholders
3.2. Formalization of the Decision-Making Group
3.3. Definition of a Finite Set of Company Organizational Units
3.4. Definition of a Finite Set of SDs
4. Methodology
4.1. Modelling of the Uncertainties
4.2. The Proposed Algorithm
4.2.1. The Selection of the Most Important Stakeholder and SDs
4.2.2. The Ranking of the Selected SDCs by Applying Proposed IT2FTOPSIS
5. Case Study
5.1. The Application of the Algorithm: The Selection of the Most Important Stakeholder and SDs
5.2. The Application of the Algorithm: The Ranking of the Selected SDCs by Applying Proposed IT2FTOPSIS
5.3. The Discussion of the Obtained Results
6. Conclusions
Author Contributions
Funding
Institutional Review Board Statement
Informed Consent Statement
Conflicts of Interest
Appendix A
No. of HOTRF | HOTRF | HOTRFs Indicators | No. of HOTRF | HOTRF | HOTRFs Indicators |
---|---|---|---|---|---|
j = 1 | Personal characteristics | The percentage value is based on HR department assessment according to profile surveys of the employees. Current value is determined with respect to ideal state (100%) that could be possibly reached in observed company | j = 9 | Workplace ergonomics | Assessment of employee-workplace interaction (percentage of ergonomics standards implemented) |
j = 2 | Experience | The number of years spent on job with required characteristics with respect to ideal state (in manufacturing sector this period is 5 years), respected to what employee could learn and achieve | j = 10 | OSH system | State of occupational safety and health in observed company in respect to ideal state (number of injuries, unsafe condition and unsafe acts, number of implemented actions per year for OSH improvement) |
j = 3 | Level of training | The number of finished trainings in company with respect to planned number, for specific work activities (for example 4 finished trainings out of 10) | j = 11 | Technical characteristics of Equipment | The current characteristics of equipment versus characteristics of equipment needed for easy and quality performing of the work tasks (for example using trolley for transporting parts versus manual handling) |
j = 4 | Behavior | Assessment of employees’ attitudes in respect to work obligations and responsibility for work tasks. Ideal state set the company (for example percentage of broken deadlines by worker or getting late for work) | j = 12 | Level of automatization | Level of current automatization versus level of possible automatization ratio (for example simple automatization versus worker) |
j = 5 | Relations | The percentage value is based on HR department assessment according to how good or bad are relations between employees (atmosphere in company). Current value is determined with respect to ideal state that could be possibly reached in observed company (for example how many conflicts occurred) | j = 13 | Characteristics of safety equipment and devices | The level of applicability of current safety equipment and devices (for example percentage of removed safety devices from machines or state-of-the-art level of devices related to existing ones on market) |
j = 6 | Work place | This value depends on occupancy rate in a sense of working hours for observed workplace (for example 100% is working three shifts during six-day week) | j = 14 | Maintenance level of equipment | The type of maintenance activities conducted regarding detailed yearly |
j = 7 | Organization and schedule of work tasks | The number of successful completed work tasks on time respect to planned (for example 1 finished and 1 is just started out of 5) | j = 15 | Characteristics of personal protective equipment | The type of PPE used respect to needed PPE |
j = 8 | Information, procedures and documentation | The number of standards, procedures and following documentation implemented versus necessary ones in observed manufacturing sector |
Appendix B
RFs | Assessment of DMs | Variance/Decision-Making Statistics/Mean Value Estimate | Tabular Value at Risk Level 5% | Consensus | The RF Weights |
---|---|---|---|---|---|
j = 1 | W9,W5,W7,W3,W6,W2,W4,W1,W3,W2 | 0.376/5.63/W4 | 3.33 | No | ((0.29, 0.44, 0.59; 1), (0.34, 0.44, 0.54; 0.85)) |
W7,W5,W6,W4,W5,W3,W4,W3,W4,W3 | 0.109/1.64 | Yes | |||
j = 2 | W6,W6,W9,W7,W8,W9,W8,W5,W9,W9 | 0.131/1.338 | 3.33 | Yes | ((0.61 0.76, 0.89; 1), (0.66, 0.76, 0.86; 0.85)) |
j = 3 | W9,W5,W6,W8,W9,W6,W7,W5,W2,W1 | 0.426/6.38/W6 | 3.33 | No | ((0.45, 0.6, 0.75; 1), (0.5, 0.6, 0.7; 0.85)) |
W8,W6,W6,W7,W8,W6,W6,W6,W4,W3 | 0.147/2.20 | Yes | |||
j = 4 | W4,W6,W8,W7,W8,W6,W6,W5,W4,W3 | 0.171/2.61 | 3.33 | Yes | ((0.42, 0.57, 0.72; 1), (0.47, 0.57, 0.67; 0.85)) |
j = 5 | W6,W4,W2,W2,W3,W2,W2,W2,W1,W1 | 0.134/2.005 | 3.33 | Yes | ((0.11, 0.23, 0.35; 1), (0.15, 0.23, 0.31; 0.85)) |
j = 6 | W3,W7,W5,W5,W9,W6,W6,W9,W1,W1 | 0.474/7.11/W5 | 3.33 | No | ((0.35, 0.5, 0.65; 1), (0.4, 0.5, 0.6; 0.85)) |
W4,W6,W5,W5,W8,W5,W5,W8,W2,W2 | 0.253/3.80/W5 | No | |||
W5,W5,W5,W5,W7,W5,W5,W7,W3,W3 | 0.107/1.60 | Yes | |||
j = 7 | W3,W2,W3,W7,W3,W5,W5,W2,W2,W2 | 0.176/2.64 | 3.33 | Yes | ((0.19, 0.34, 0.49; 1), (0.24, 0.34, 0.44; 0.85)) |
j = 8 | W1,W1,W3,W5,W9,W5,W3,W1,W1,W1 | 0.408/6.15/W3 | 3.33 | No | ((0.16, 0.31, 0.46; 1), (0.21, 0.31, 0.41; 0.85)) |
W2,W2,W3,W4,W7,W4,W4,W2,W2,W2 | 0.158/2.37 | Yes | |||
j = 9 | W2,W4,W3,W5,W5,W9,W6,W9,W3,W1 | 0.428/6.42/W5 | 3.33 | No | ((0.34, 0.49, 0.64; 1), (0.39, 0.49, 0.59; 0.85)) |
W3,W5,W4,W5,W5,W8,W5,W8,W4,W2 | 0.219/3.28 | Yes | |||
j = 10 | W2,W1,W3,W3,W8,W9,W3,W1,W2,W2 | 0.459/6.87/W3 | 3.33 | No | ((0.21, 0.36, 0.51; 1), (0.26, 0.36, 0.46; 0.85)) |
W3,W2,W3,W3,W7,W8,W3,W2,W3,W3 | 0.254/3.80/W3 | No | |||
W3,W3,W3,W3,W6,W6,W3,W3,W3,W3 | 0.058/0.86 | Yes | |||
j = 11 | W2,W2,W8,W6,W7,W8,W7,W5,W7,W8 | 0.320/4.80/W6 | 3.33 | No | ((0.42, 0.57, 0.72; 1), (0.47, 0.57, 0.67; 0.85)) |
W3,W3,W7,W6,W6,W7,W6,W6,W6,W7 | 0.134/2.006 | Yes | |||
j = 12 | W2,W2,W7,W6,W6,W5,W4,W7,W6,W6 | 0.206/3.08 | 3.33 | Yes | ((0.36, 0.51, 0.66; 1), (0.41, 0.51, 0.61; 0.85)) |
j = 13 | W2,W2,W5,W4,W4,W8,W7,W5,W7,W8 | 0.357/5.35/W4 | 3.33 | No | ((0.33, 0.48, 0.63; 1), (0.38, 0.48, 0.68; 0.85)) |
W3,W3,W4,W4,W4,W7,W6,W4,W6,W7 | 0.144/2.16 | ||||
j = 14 | W1,W1,W5,W3,W4,W4,W6,W4,W9,W8 | 0.408/6.07/W4 | 3.33 | No | ((0.28, 0.43, 0.58; 1), (0.33, 0.43, 0.53; 0.85)) |
W2,W2,W4,W4,W4,W4,W5,W4,W8,W7 | 0.411/6.17/W4 | No | |||
W3,W3,W4,W4,W4,W4,W4,W4,W7,W6 | 0.094/1.41 | Yes | |||
j = 15 | W3,W3,W4,W4,W4,W8,W7,W5,W6,W7 | 0.192/2.88 | 3.33 | Yes | ((0.36, 0.51, 0.66; 1), (0.41, 0.51, 0.61; 0.85)) |
References
- Mohammed, A.; Harris, I.; Govindan, K. A hybrid MCDM-FMOO approach for sustainable supplier selection and order alloca-tion. Int. J. Prod. Econ. 2019, 217, 171–184. [Google Scholar] [CrossRef]
- Ceryno, P.S.; Scavarda, L.F.; Klingebiel, K. Supply chain risk: Empirical research in the automotive industry. J. Risk Res. 2015, 18, 1145–1164. [Google Scholar] [CrossRef]
- Ramesh, R.; Prabu, M.; Magibalan, S.; Senthilkumar, P. Hazard identification and risk assessment in automotive industry. Int. J. ChemTech Res. 2017, 10, 352–358. [Google Scholar]
- Liu, X.; Huang, G.; Huang, H.; Wang, S.; Xiao, Y.; Chen, W. Safety climate, safety behavior, and worker injuries in the Chinese manufacturing industry. Saf. Sci. 2015, 78, 173–178. [Google Scholar] [CrossRef]
- Lenhardt, U.; Beck, D. Prevalence and quality of workplace risk assessments—Findings from a representative company survey in Germany. Saf. Sci. 2016, 86, 48–56. [Google Scholar] [CrossRef] [Green Version]
- Zimmermann, H.-J. Fuzzy set theory. Wiley Interdiscip. Rev. Comput. Stat. 2010, 2, 317–332. [Google Scholar] [CrossRef]
- Liu, F.; Mendel, J.M. Encoding Words Into Interval Type-2 Fuzzy Sets Using an Interval Approach. IEEE Trans. Fuzzy Syst. 2008, 16, 1503–1521. [Google Scholar] [CrossRef]
- Faizi, S.; Rashid, T.; Sałabun, W.; Zafar, S.; Wątróbski, J. Decision Making with Uncertainty Using Hesitant Fuzzy Sets. Int. J. Fuzzy Syst. 2018, 20, 93–103. [Google Scholar] [CrossRef] [Green Version]
- Kahraman, C.; Oztaysi, B.; Onar, S.C.; Otay, I. A literature review on the extensions of intuitionistic fuzzy sets. In Developments of Artificial Intelligence Technologies in Computation and Robotics; World Scientific: Cologne, Germany, 2020; Volume 12, p. 199. [Google Scholar]
- Zadeh, L. The concept of a linguistic variable and its application to approximate reasoning—I. Inf. Sci. 1975, 8, 199–249. [Google Scholar] [CrossRef]
- Jünger, S.; Brearley, S.G.; Payne, S.; Mantel-Teeuwisse, A.K.; Lynch, T.; Scholten, W.; Radbruch, L. Consensus Building on Access to Controlled Medicines: A Four-Stage Delphi Consensus Procedure. J. Pain Symptom Manag. 2013, 46, 897–910. [Google Scholar] [CrossRef]
- Förster, B.; von der Gracht, H. Assessing Delphi panel composition for strategic foresight—A comparison of panels based on company-internal and external participants. Technol. Forecast. Soc. Chang. 2014, 84, 215–229. [Google Scholar] [CrossRef]
- Bouzon, M.; Govindan, K.; Rodriguez, C.M.; Campos, L.M. Identification and analysis of reverse logistics barriers using fuzzy Delphi method and AHP. Resour. Conserv. Recycl. 2016, 108, 182–197. [Google Scholar] [CrossRef]
- Mendel, J.M. Uncertain Rule-Based Fuzzy Systems. In Uncertain Rule-Based Fuzzy Systems; Springer International Publishing: Cham, Switzerland, 2017; p. 684. [Google Scholar]
- Amaral, T.M.; Costa, A.P. Improving decision-making and management of hospital resources: An application of the PROME-THEE II method in an Emergency Department. Oper. Res. Health Care 2014, 3, 1–6. [Google Scholar] [CrossRef]
- Kaya, I.; Çolak, M.; Terzi, F. A comprehensive review of fuzzy multi criteria decision making methodologies for energy policy making. Energy Strat. Rev. 2019, 24, 207–228. [Google Scholar] [CrossRef]
- Wątróbski, J.; Jankowski, J.; Ziemba, P.; Karczmarczyk, A.; Zioło, M. Generalised framework for multi-criteria method selection. Omega 2019, 86, 107–124. [Google Scholar] [CrossRef]
- Zopounidis, C.; Doumpos, M. (Eds.) Multiple Criteria Decision Making: Applications in Management and Engineering; Springer: Berlin/Heidelberg, Germany, 2016. [Google Scholar]
- Saaty, T.L. Analytic Heirarchy Process. In Wiley statsRef: Statistics Reference Online; John Wiley & Sons: Hoboken, NJ, USA, 2014. [Google Scholar]
- Hwang, C.L.; Yoon, K. Methods for multiple attribute decision making. In Multiple Attribute Decision Making; Springer: Berlin/Heidelberg, Germany, 1981; pp. 58–191. [Google Scholar]
- Figueira, J.R.; Mousseau, V.; Roy, B. ELECTRE methods. In Multiple Criteria Decision Analysis; Springer: New York, NY, USA, 2016. [Google Scholar]
- Opricovic, S.; Tzeng, G.-H. Compromise solution by MCDM methods: A comparative analysis of VIKOR and TOPSIS. Eur. J. Oper. Res. 2004, 156, 445–455. [Google Scholar] [CrossRef]
- Zavadskas, E.K.; Kaklauskas, A.; Peldschus, F.; Turskis, Z. Multi-attribute assessment of road design solutions by using the COP-RAS method. Balt. J. Road Bridge Eng. 2007, 2, 195–203. [Google Scholar]
- Faizi, S.; Sałabun, W.; Ullah, S.; Rashid, T.; Więckowski, J. A New Method to Support Decision-Making in an Uncertain Environment Based on Normalized Interval-Valued Triangular Fuzzy Numbers and COMET Technique. Symmetry 2020, 12, 516. [Google Scholar] [CrossRef] [Green Version]
- Celik, E.; Gul, M.; Aydin, N.; Gumus, A.T.; Guneri, A.F. A comprehensive review of multi criteria decision making approaches based on interval type-2 fuzzy sets. Knowl. Based Syst. 2015, 85, 329–341. [Google Scholar] [CrossRef]
- Wang, J.Q.; Wu, J.T.; Wang, J.; Zhang, H.Y.; Chen, X.H. Interval-valued hesitant fuzzy linguistic sets and their applications in mul-ti-criteria decision-making problems. Inf. Sci. 2014, 288, 55–72. [Google Scholar] [CrossRef]
- Celik, E.; Bilisik, O.N.; Erdogan, M.; Gumus, A.T.; Baracli, H. An integrated novel interval type-2 fuzzy MCDM method to improve customer satisfaction in public transportation for Istanbul. Transp. Res. Part E Logist. Transp. Rev. 2013, 58, 28–51. [Google Scholar] [CrossRef]
- Yoon, K.P.; Kim, W.K. The behavioral TOPSIS. Expert Syst. Appl. 2017, 89, 266–272. [Google Scholar] [CrossRef]
- Bendtsen, E.B.; Clausen, L.P.W.; Hansen, S.F. A review of the state-of-the-art for stakeholder analysis with regard to environmental management and regulation. J. Environ. Manag. 2021, 279, 111773. [Google Scholar] [CrossRef] [PubMed]
- Albats, E.; Alexander, A.; Mahdad, M.; Miller, K.; Post, G. Stakeholder management in SME open innovation: Interdependences and strategic actions. J. Bus. Res. 2020, 119, 291–301. [Google Scholar] [CrossRef]
- Katsela, K.; Pålsson, H. A multi-criteria decision model for stakeholder management in city logistics. Res. Transp. Bus. Manag. 2019, 33, 100439. [Google Scholar] [CrossRef]
- Djapan, M.; Macuzic, I.; Tadic, D.; Baldissone, G. An innovative prognostic risk assessment tool for manufacturing sector based on the management of the human, organizational and technical/technological factors. Saf. Sci. 2019, 119, 280–291. [Google Scholar] [CrossRef]
- Kumar, A.; Mangla, S.K.; Luthra, S.; Rana, N.P.; Dwivedi, Y.K. Predicting changing pattern: Building model for consumer decision making in digital market. J. Enterp. Inf. Manag. 2018, 31, 674–703. [Google Scholar] [CrossRef] [Green Version]
- Deveci, M.; Özcan, E.; John, R.; Covrig, C.F.; Pamucar, D. A study on offshore wind farm siting criteria using a novel inter-val-valued fuzzy-rough based Delphi method. J. Environ. Manag. 2020, 270, 110916. [Google Scholar] [CrossRef]
- Wang, Y.-J. Interval-valued fuzzy multi-criteria decision-making based on simple additive weighting and relative preference relation. Inf. Sci. 2019, 503, 319–335. [Google Scholar] [CrossRef]
- Wu, T.; Liu, X.; Liu, F. An interval type-2 fuzzy TOPSIS model for large scale group decision making problems with social net-work information. Inf. Sci. 2018, 432, 392–410. [Google Scholar] [CrossRef]
- Yucesan, M.; Mete, S.; Serin, F.; Celik, E.; Gul, M. An Integrated Best-Worst and Interval Type-2 Fuzzy TOPSIS Methodology for Green Supplier Selection. Mathematics 2019, 7, 182. [Google Scholar] [CrossRef] [Green Version]
- Liu, K.; Liu, Y.; Qin, J. An integrated ANP-VIKOR methodology for sustainable supplier selection with interval type-2 fuzzy sets. Granul. Comput. 2018, 3, 193–208. [Google Scholar] [CrossRef]
- Ðurić, G.; Mitrović, Č.; Komatina, N.; Tadić, D.; Vorotović, G. The hybrid MCDM model with the interval Type-2 fuzzy sets for the software failure analysis. J. Intell. Fuzzy Syst. 2019, 37, 7747–7759. [Google Scholar] [CrossRef]
- Kizielewicz, B.; Sałabun, W. A New Approach to Identifying a Multi-Criteria Decision Model Based on Stochastic Optimization Techniques. Symmetry 2020, 12, 1551. [Google Scholar] [CrossRef]
- Sałabun, W.; Karczmarczyk, A. Using the COMET Method in the Sustainable City Transport Problem: An Empirical Study of the Electric Powered Cars. Procedia Comput. Sci. 2018, 126, 2248–2260. [Google Scholar] [CrossRef]
- Liao, T.W. Two interval type 2 fuzzy TOPSIS material selection methods. Mater. Des. 2015, 88, 1088–1099. [Google Scholar] [CrossRef]
- Celik, E.; Akyuz, E. An interval type-2 fuzzy AHP and TOPSIS methods for decision-making problems in maritime transporta-tion engineering: The case of ship loader. Ocean Eng. 2018, 155, 371–381. [Google Scholar] [CrossRef]
- Mathew, M.; Chakrabortty, R.K.; Ryan, M.J. Selection of an Optimal Maintenance Strategy Under Uncertain Conditions: An Interval Type-2 Fuzzy AHP-TOPSIS Method. IEEE Trans. Eng. Manag. 2020, 1–14. [Google Scholar] [CrossRef]
- Aleksic, A.; Ristic, M.R.; Komatina, N.; Tadic, D. Advanced risk assessment in reverse supply chain processes: A case study in Republic of Serbia. Adv. Prod. Eng. Manag. 2019, 14, 421–434. [Google Scholar] [CrossRef]
- Chen, T.-Y. An interval type-2 fuzzy technique for order preference by similarity to ideal solutions using a likelihood-based comparison approach for multiple criteria decision analysis. Comput. Ind. Eng. 2015, 85, 57–72. [Google Scholar] [CrossRef]
- Zhong, L.; Yao, L. An ELECTRE I-based multi-criteria group decision making method with interval type-2 fuzzy numbers and its application to supplier selection. Appl. Soft Comput. 2017, 57, 556–576. [Google Scholar] [CrossRef]
- Wu, D.; Mendel, J.M. A comparative study of ranking methods, similarity measures and uncertainty measures for interval type-2 fuzzy sets. Inf. Sci. 2009, 179, 1169–1192. [Google Scholar] [CrossRef]
- Zhang, H.; Zhang, W.; Mei, C. Entropy of interval-valued fuzzy sets based on distance and its relationship with similarity measure. Knowl. Based Syst. 2009, 22, 449–454. [Google Scholar] [CrossRef]
- Ameri, A.A.; Pourghasemi, H.R.; Cerda, A. Erodibility prioritization of sub-watersheds using morphometric parameters analysis and its mapping: A comparison among TOPSIS, VIKOR, SAW, and CF multi-criteria decision making models. Sci. Total. Environ. 2018, 613, 1385–1400. [Google Scholar] [CrossRef]
- Sałabun, W.; Urbaniak, K. A New Coefficient of Rankings Similarity in Decision-Making Problems. In Constructive Side-Channel Analysis and Secure Design; Springer: Cham, Switzerland, 2020; pp. 632–645. [Google Scholar]
- Chen, T.-Y. Comparative analysis of SAW and TOPSIS based on interval-valued fuzzy sets: Discussions on score functions and weight constraints. Expert Syst. Appl. 2012, 39, 1848–1861. [Google Scholar] [CrossRef]
- Kahraman, C.; Öztayşi, B.; Sarı, İ.U.; Turanoğlu, E. Fuzzy analytic hierarchy process with interval type-2 fuzzy sets. Knowl. Based Syst. 2014, 59, 48–57. [Google Scholar] [CrossRef]
- Safety Management Manual (SMM) Doc 9859 AN/474, 3rd ed.; International Civil Aviation Organization: Montreal, QC, Canada, 2012.
- Skład, A. Assessing the impact of processes on the Occupational Safety and Health Management System’s effectiveness using the fuzzy cognitive maps approach. Saf. Sci. 2019, 117, 71–80. [Google Scholar] [CrossRef]
- Clarke, S. Safety leadership: A meta-analytic review of transformational and transactional leadership styles as antecedents of safety behaviours. J. Occup. Organ. Psychol. 2012, 86, 22–49. [Google Scholar] [CrossRef]
- Kines, P.; Andersen, L.P.; Spangenberg, S.; Mikkelsen, K.L.; Dyreborg, J.; Zohar, D. Improving construction site safety through lead-er-based verbal safety communication. J. Saf. Res. 2010, 41, 399–406. [Google Scholar] [CrossRef] [PubMed]
- Skeepers, N.C.; Mbohwa, C. A Study on the Leadership Behaviour, Safety Leadership and Safety Performance in the Construction Industry in South Africa. Procedia Manuf. 2015, 4, 10–16. [Google Scholar] [CrossRef] [Green Version]
- Eskerod, P.; Huemann, M. Sustainable development and project stakeholder management: What standards say. Int. J. Manag. Proj. Bus. 2013, 6, 36–50. [Google Scholar] [CrossRef]
- Danso, A.; Adomako, S.; Lartey, T.; Amankwah-Amoah, J.; Owusu-Yirenkyi, D. Stakeholder integration, environmental sustaina-bility orientation and financial performance. J. Bus. Res. 2019, 119, 652–662. [Google Scholar] [CrossRef]
- Ali, J.; Roh, B.-H. An Effective Hierarchical Control Plane for Software-Defined Networks Leveraging TOPSIS for End-to-End QoS Class-Mapping. IEEE Access 2020, 8, 88990–89006. [Google Scholar] [CrossRef]
The Relative Importance of the SDs | The Corresponding Values of SDs’ Relative Importance |
---|---|
Extremely low importance (W1) | ((0, 0.1, 0.25; 1), (0, 0.1, 0.2; 0.85)) |
Very low importance (W2) | ((0.05, 0.2, 0.35; 1), (0.1, 0.2, 0.3; 0.85)) |
Low importance (W3) | ((0.15, 0.3, 0.45; 1), (0.2, 0.3, 0.4; 0.85)) |
Fairly low moderate importance (W4) | ((0.25, 0.4, 0.55; 1), (0.3, 0.4, 0.5; 0.85)) |
Moderate importance (W5) | ((0.35, 0.5, 0.65; 1), (0.4, 0.5, 0.6; 0.85)) |
Fairly high moderate importance (W6) | ((0.45, 0.6, 0.75; 1), (0.5, 0.6, 0.7; 0.85)) |
High moderate importance (W7) | ((0.55, 0.7, 0.85; 1), (0.6, 0.7, 0.8; 0.85)) |
Very high importance (W8) | ((0.65, 0.8, 0.95; 1), (0.7, 0.8, 0.9; 0.85)) |
Extremely high importance (W9) | ((0.75, 0.9, 1; 1), (0.8, 0.9, 1; 0.85)) |
The Values of SDs | The Corresponding Values of SDs |
---|---|
Very low degree of belief (V1) | |
Low degree of belief (V2) | |
Fairly medium degree of belief (V3) | |
Medium degree of belief (V4) | |
Fairly high degree of belief (V5) | |
High degree of belief (V6) | |
Very high degree of belief (V7) |
Stakeholders | Interest in the Project | Impact on the Project | ||
---|---|---|---|---|
Local government (s = 1) | W3 | W7 | 0.408 | |
Local community (s = 2) | W2 | W1 | 0.129 | |
Legislatures (s = 3) | W4 | W7 | 0.487 | |
Customers (s = 4) | W9 | W8 | 0.772 | |
Suppliers (s = 5) | W7 | W7 | 0.647 | |
Financiers (s = 6) | W8 | W5 | 0.574 | |
Employees (s = 7) | W3 | W3 | 0.277 |
i = 1 | i = 2 | i = 3 | i = 4 | i = 5 | |
---|---|---|---|---|---|
j = 1 | V4 | V5 | V4 | V4 | V6 |
j = 2 | V2 | V5 | V4 | V6 | V7 |
j = 3 | V1 | V6 | V4 | V6 | V7 |
j = 4 | V2 | V6 | V3 | V7 | V7 |
j = 5 | V1 | V6 | V3 | V5 | V6 |
j = 6 | V4 | V7 | V4 | V6 | V7 |
j = 7 | V2 | V7 | V3 | V6 | V7 |
j = 8 | V7 | V7 | V7 | V7 | V7 |
j = 9 | V7 | V7 | V5 | V5 | V6 |
j = 10 | V6 | V6 | V6 | V6 | V6 |
j = 11 | V4 | V6 | V6 | V7 | V7 |
j = 12 | V6 | V5 | V5 | V5 | V3 |
j = 13 | V2 | V7 | V3 | V6 | V7 |
j = 14 | V4 | V6 | V5 | V7 | V7 |
j = 15 | V2 | V6 | V7 | V5 | V2 |
(a) | ||
i = 1 | i = 2 | |
j = 1 | ((1.02, 2.20, 3.84; 1), (1.36, 2.20, 4.43; 0.85)) | ((1.31, 2.64, 3.84; 1), (1.70, 2.64, 3.78; 0.85)) |
j = 2 | ((0.61, 1.90, 3.56; 1), (0.99, 1.90, 3.01; 0.85)) | ((2.75, 4.56, 6.68; 1), (3.30, 4.56, 6.02; 0.85)) |
j = 3 | ((0.45, 0.60, 2.63; 1), (0.50, 0.60, 2.10; 0.85)) | ((2.70, 4.50, 6.75; 1), (3.25, 4.50, 5.95; 0.85)) |
j = 4 | ((0.42, 1.43, 2.88; 1), (0.71, 1.43, 2.35; 0.85)) | ((2.52, 4.28, 6.48; 1), (3.06, 4.28, 5.07; 0.85)) |
j = 5 | ((0.11, 0.23, 1.23; 1), (0.15, 0.23, 0.93; 0.85)) | ((0.66, 1.73, 3.15; 1), (0.98, 1.73, 2.64; 0.85)) |
j = 6 | ((1.23, 2.50, 4.23; 1), (1.60, 2.50, 3.60; 0.85)) | ((2.63, 4.50, 5.85; 1), (3.20, 4.50, 5.40; 0.85)) |
j = 7 | ((0.19, 0.85, 1.96; 1), (0.36, 0.85, 1.54; 0.85)) | ((1.43, 3.06, 4.41; 1), (1.92, 3.06, 3.96; 0.85)) |
j = 8 | ((1.20, 2.76, 4.14; 1), (1.68, 2.76, 3.69; 0.85)) | ((1.20, 2.76, 4.14; 1), (1.68, 2.76, 3.69; 0.85)) |
j = 9 | ((2.55, 4.41, 5.76; 1), (3.12, 4.41, 5.31; 0.85)) | ((2.55, 4.41, 5.76; 1), (3.12, 4.41, 5.31; 0.85)) |
j = 10 | ((1.26, 2.70, 4.59; 1), (1.69, 2.70, 3.91; 0.85)) | ((1.26, 2.70, 4.59; 1), (1.69, 2.70, 3.91; 0.85)) |
j = 11 | ((1.47, 2.85, 4.68; 1), (1.88, 2.85, 4.02; 0.85)) | ((2.52, 4.28, 6.48; 1), (3.06, 4.28, 5.70; 0.85)) |
j = 12 | ((2.16, 3.83, 5.94; 1), (2.67, 3.83, 5.19; 0.85)) | ((1.62, 3.06, 4.95; 1), (2.05, 3.06, 4.27; 0.85)) |
j = 13 | ((0.33, 0.48, 2.21; 1), (0.38, 0.48, 1.74; 0.85)) | ((2.48, 4.32, 5.67; 1), (3.04, 4.32, 5.22; 0.85)) |
j = 14 | ((0.98, 2.15, 3.77; 1), (1.32, 2.15, 3.18; 0.85)) | ((2.48, 4.32, 5.67; 1), (3.04, 4.32, 5.22; 0.85)) |
j = 15 | ((0.36, 1.28, 2.64; 1), (0.62, 1.28, 2.14; 0.85)) | ((1.68, 3.23, 5.22; 1), (2.15, 3.23, 4.51; 0.85)) |
FPIS | ((2.55, 4.41, 5.94; 1), (3.12, 4.41, 5.31; 0.85)) | ((2.75, 4.56, 6.75; 1), (3.30, 4.56, 6.02; 0.85)) |
FNIS | ((0.11, 0.23, 1.23; 1), (0.15, 0.23, 0.93; 0.85)) | ((0.66, 1.73, 3.15; 1), (0.98, 1.73, 2.06; 0.85)) |
(b) | ||
i = 3 | i = 4 | |
j = 1 | ((1.02, 2.20, 3.84; 1), (1.36, 2.20, 3.24; 0.85)) | ((1.02, 2.20, 3.84; 1), (1.36, 2.20, 3.24; 0.85)) |
j = 2 | ((2.14, 3.80, 5.79; 1), (2.64, 3.80, 5.16; 0.85)) | ((3.66, 5.70, 8.01; 1), (4.29, 5.70, 7.31; 0.85)) |
j = 3 | ((3.38, 5.40, 6.75; 1), (4.00, 5.40, 6.30; 0.85)) | ((2.70, 4.50, 6.75; 1), (3.25, 4.50, 5.95; 0.85)) |
j = 4 | ((1.05, 2.28, 3.96; 1), (1.41, 2.28, 3.35; 0.85)) | ((3.15, 5.13, 6.48; 1), (3.76, 5.13, 6.03; 0.85)) |
j = 5 | ((0.28, 0.92, 1.93; 1), (0.45, 0.92, 1.55; 0.85)) | ((0.50, 1.38, 2.63; 1), (0.75, 1.38, 2.17; 0.85)) |
j = 6 | ((1.23, 2.50, 4.23; 1), (1.60, 2.50, 3.60; 0.85)) | ((2.10, 3.75, 5.85; 1), (2.60, 3.75, 5.41; 0.85)) |
j = 7 | ((0.48, 1.36, 2.70; 1), (0.72, 1.36, 2.20; 0.85)) | ((1.14, 2.55, 4.41; 1), (1.56, 2.55, 3.74; 0.85)) |
j = 8 | ((1.20, 2.76, 4.14; 1), (1.68, 2.76, 3.69; 0.85)) | ((1.20, 2.76, 4.14; 1), (1.68, 2.76, 3.69; 0.85)) |
j = 9 | ((1.53, 2.94, 4.80; 1), (1.95, 2.94, 4.13; 0.85)) | ((1.53, 2.94, 4.80; 1), (1.95, 2.94, 4.13; 0.85)) |
j = 10 | ((1.26, 2.70, 4.59; 1), (1.69, 2.70, 3.91; 0.85)) | ((1.26, 2.70, 4.59; 1), (1.69, 2.70, 3.91; 0.85)) |
j = 11 | ((2.52, 4.28, 6.48; 1), (3.06, 4.28, 5.70; 0.85)) | ((3.15, 5.13, 6.48; 1), (3.76, 5.13, 6.03; 0.85)) |
j = 12 | ((1.62, 3.06, 4.95; 1), (2.05, 3.06, 4.27; 0.85)) | ((1.62, 3.06, 4.95; 1), (2.05, 3.06, 4.27; 0.85)) |
j = 13 | ((0.83, 1.92, 3.47; 1), (1.14, 1.92, 2.90; 0.85)) | ((1.98, 3.60, 5.67; 1), (2.47, 3.60, 4.93; 0.85)) |
j = 14 | ((1.26, 2.58, 4.35; 1), (1.65, 2.58, 3.71; 0.85)) | ((2.10, 3.87, 5.22; 1), (2.64, 3.87, 4.77; 0.85)) |
j = 15 | ((2.70, 4.59, 5.94; 1), (3.28, 4.59, 5.49; 0.85)) | ((1.62, 3.06, 4.95; 1), (2.05, 3.06, 4.27; 0.85)) |
FPIS | ((2.70, 4.59, 6.48; 1), (3.28, 4.59, 5.70; 0.85)) | ((3.66, 5.70, 8.01; 1), (4.29, 5.70, 7.31; 0.85)) |
FNIS | ((0.28, 0.92, 1.93; 1), (0.45, 0.92, 1.55; 0.85)) | ((0.50, 1.38, 2.63; 1), (0.75, 1.38, 2.17; 0.85)) |
(c) | ||
i = 5 | ||
j = 1 | ((1.74, 3.30, 5.31; 1), (2.21, 3.30, 4.59; 0.85)) | |
j = 2 | ((4.58, 6.84, 8.01; 1), (5.28, 6.84, 7.79; 0.85)) | |
j = 3 | ((3.38, 5.40, 6.75; 1), (4.00, 5.40, 6.30; 0.85)) | |
j = 4 | ((3.15, 5.13, 6.48; 1), (3.76, 5.13, 6.03; 0.85)) | |
j = 5 | ((0.66, 1.73, 3.15; 1), (0.98, 1.73, 2.64; 0.85)) | |
j = 6 | ((2.63, 4.50, 5.85; 1), (3.20, 4.50, 5.40; 0.85)) | |
j = 7 | ((1.43, 3.06, 4.41; 1), (1.92, 3.06, 3.96; 0.85)) | |
j = 8 | ((1.20, 2.76, 4.14; 1), (1.68, 2.76, 3.69; 0.85)) | |
j = 9 | ((2.04, 3.68, 5.76; 1), (2.54, 3.68, 5.02; 0.85)) | |
j = 10 | ((1.26, 2.70, 4.59; 1), (1.69, 2.70, 3.91; 0.85)) | |
j = 11 | ((3.15, 5.13, 6.48; 1), (3.76, 5.13, 6.03; 0.85)) | |
j = 12 | ((0.90, 2.04, 3.63; 1), (1.23, 2.04, 3.05; 0.85)) | |
j = 13 | ((2.48, 4.32, 5.67; 1), (3.04, 4.32, 5.22; 0.85)) | |
j = 14 | ((2.10, 3.87, 5.22; 1), (2.64, 3.87, 4.77; 0.85)) | |
j = 15 | ((0.36, 1.28, 2.64; 1), (0.62, 1.28, 2.14; 0.85)) | |
FPIS | ((4.58, 6.84, 8.01; 1), (5.28, 6.84, 7.74; 0.85)) | |
FNIS | ((0.36, 1.28, 2.64; 1), (0.62, 1.28, 2.14; 0.85)) |
Rank Obtained by IT2FTOPSIS | Rank Obtained by IT2FSAW | ||||
---|---|---|---|---|---|
j = 1 | 0.36 | 13 | 0.039 | 14 | |
j = 2 | 0.85 | 1 | 0.085 | 2 | |
j = 3 | 0.64 | 3 | 0.079 | 5 | |
j = 4 | 0.61 | 4 | 0.069 | 9–10 | |
j = 5 | 0.11 | 15 | 0.034 | 15 | |
j = 6 | 0.59 | 6 | 0.071 | 7–8 | |
j = 7 | 0.25 | 14 | 0.043 | 13 | |
j = 8 | 0.38 | 12 | 0.051 | 12 | |
j = 9 | 0.60 | 5 | 0.080 | 4 | |
j = 10 | 0.41 | 10 | 0.058 | 11 | |
j = 11 | 0.78 | 2 | 0.094 | 1 | |
j = 12 | 0.48 | 8 | 0.069 | 9–10 | |
j = 13 | 0.45 | 9 | 0.072 | 6 | |
j = 14 | 0.49 | 7 | 0.081 | 3 | |
j = 15 | 0.39 | 11 | 0.071 | 7–8 |
Rank Obtained by IT2FTOPSIS | Rank Obtained by IT2FSAW | Rank Obtained by IT2FSAW | Rank Obtained by IT2FTOPSIS | |
---|---|---|---|---|
j = 1 | 13 | 14 | 14 | 13 |
j = 2 | 1 | 2 | 2 | 1 |
j = 3 | 3 | 5 | 5 | 3 |
j = 4 | 4 | 9.5 | 9.5 | 4 |
j = 5 | 15 | 15 | 15 | 15 |
j = 6 | 6 | 7.5 | 7.5 | 6 |
j = 7 | 14 | 13 | 13 | 14 |
j = 8 | 12 | 12 | 12 | 12 |
j = 9 | 5 | 4 | 4 | 5 |
j = 10 | 10 | 11 | 11 | 10 |
j = 11 | 2 | 1 | 1 | 2 |
j = 12 | 8 | 9.5 | 9.5 | 8 |
j = 13 | 9 | 6 | 6 | 9 |
j = 14 | 7 | 3 | 3 | 7 |
j = 15 | 11 | 7.5 | 7.5 | 11 |
0.8815 | 0.8814 |
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Komatina, N.; Djapan, M.; Ristić, I.; Aleksić, A. Fulfilling External Stakeholders’ Demands—Enhancement Workplace Safety Using Fuzzy MCDM. Sustainability 2021, 13, 2892. https://doi.org/10.3390/su13052892
Komatina N, Djapan M, Ristić I, Aleksić A. Fulfilling External Stakeholders’ Demands—Enhancement Workplace Safety Using Fuzzy MCDM. Sustainability. 2021; 13(5):2892. https://doi.org/10.3390/su13052892
Chicago/Turabian StyleKomatina, Nikola, Marko Djapan, Igor Ristić, and Aleksandar Aleksić. 2021. "Fulfilling External Stakeholders’ Demands—Enhancement Workplace Safety Using Fuzzy MCDM" Sustainability 13, no. 5: 2892. https://doi.org/10.3390/su13052892
APA StyleKomatina, N., Djapan, M., Ristić, I., & Aleksić, A. (2021). Fulfilling External Stakeholders’ Demands—Enhancement Workplace Safety Using Fuzzy MCDM. Sustainability, 13(5), 2892. https://doi.org/10.3390/su13052892