Research Article
BibTex RIS Cite

A Hybrid Decision-Making Method based on Interval-Valued Fermatean Fuzzy Sets and a Green Supplier Chain Management Application

Year 2025, Issue: 42, 51 - 68, 25.06.2025
https://doi.org/10.26650/ekoist.2025.42.1565596

Abstract

There is a growing need to integrate environmentally sound choices into supply-chain management research and practice. Choosing the most sustainable suppliers in the context of green supply chain management is a decision making problem that frequently entails uncertainty and differing viewpoints among decision-makers. Regulatory bodies that describe regulations to meet societal and ecological concerns and facilitate the growth of business and economy also need to be made aware of their absence. This study presents an integrated multi-criteria decision making method based on an interval-valued Fermatean fuzzy set. The integrated multi-criteria decision-making methods include the SWARA and WASPAS techniques based on an interval-valued Fermatean fuzzy set. The new method has been applied to the problem of selecting a candidate for a position in green supplier chain management. The results were analysed and compared across various parameters. The performance was then assessed and vali dated using a sensitivity analysis. The method proposed in this study was compared with previously known methods, and the new method's advantages were demonstrated. In addition, the study’s findings and their consequences for lawmakers, businesspeople, technologists, and practitioners are examined. In the future, these stakeholders can concentrate on these deficiencies and provide long-term remedies.

References

  • Adamu M., Raut A.N., Ibrahim Y. E., Alanazi H., Ahmed O. S. (2025). Multi-criteria decision-based optimisation and multivariable regression analysis of date palm fibre reinforced concrete modified with silica fume under normal and elevated temperatures, Scientific Reports, 15, 5092. google scholar
  • Alkandi, I., Alhajri, N., Alnaijim, A. (2025). Green supply chain management, business performance, and future challenges: Evidence from the emerging industrial sector. Sustainability, 17, 29. google scholar
  • Alrasheedi, M., Mardani, A., Mishra, A. R., Rani, P., & N L. (2022). An extended framework to evaluate sustainable suppliers in manufacturing companies using a new Pythagorean fuzzy entropy-SWARA-WASPAS decision-making approach. J. Enterp. Inf. Manag., 35 , 333–357. google scholar
  • Atanassov, K. (1986). Intuitionistic fuzzy sets. Fuzzy Sets and Systems, 20, 87–96. google scholar
  • Atanassov, K. and Gargov, G. (1989). Interval-valued intuitionistic fuzzy sets. Fuzzy Sets Syst, 31, 343–349. google scholar
  • Bouraimai M.B., Ibrahim B., Qui Y., Kridish M., Dantonka M. (2024). Integrated Spherical Decision-Making Model for Managing Climate Change Risks in Africa, Journal of Soft Computing and Decision Analytics, 2(1), 71-85. google scholar
  • Dehshiri S. J. H., Amiri M., Mostafaeipour A., Le T. (2024). Evaluation of renewable energy projects based on sustainability goals using a hybrid Pythagorean fuzzy-based decision approach, Energy, 297, 131272 google scholar
  • Deveci, M., Varouchakis, E. A., Brito-Parada, P., Mishra, A. R., Rani, P., Bolgkoranou, M. and Galetakis, M. (2023). Evaluation of risks impeding sustainable mining using the Fermatean fuzzy score function-based SWARA method. Applied Soft Computing, 139, 110220. google scholar
  • Garg, H. (2016a). A new generalised Pythagorean fuzzy information aggregation using Einstein operations and its application to decision making. Int J Intell Syst, 31, 886–920. google scholar
  • Garg, H. (2016b). Novel correlation coefficients between Pythagorean fuzzy sets and their applications to the decision-making process. Int J Intell Syst, 31, 1234–1252. google scholar
  • Garg, H. (2016c). A series of intuitionistic averaging aggregation operators. SpringerPlus, 5, 999. google scholar
  • Garg, H. (2017). Confidence levels based on Pythagorean fuzzy aggregation operators and their application to the decision-making process. Comput. Maths. Organ. Theory, 23, 546–571. google scholar
  • Garg, H., Shahzadi, G., & Akram, M. (2020). Decision-making analysis based on Fermatean fuzzy Yager aggregation operators with application in a COVID-19 testing facility. Mathematical Problems in Engineering, 2020, 7279027. google scholar
  • Garg, H., Rahim, M., Amin, F., & Jafari, S. (2023). Confidence levels-based cubic Fermatean fuzzy aggregation operators and their application to MCDM problems. Symmetry, 15, 260. google scholar
  • Ghoushchi S. J., Haghshenas S. S., Vahabzadeh S., Guido G., Geem Z.W. (2024). An integrated MCDM approach for enhancing efficiency in connected autonomous vehicles through augmented intelligence and IoT integration, Results in Engineering, 23, 102626 google scholar
  • Gündoğdu, F. K., & Kahraman, C. (2019). Extension of WASPAS with spherical fuzzy sets. Informatica, 30, 269-292. google scholar
  • Jeevaraj, S. (2021). Ordering of interval-valued Fermatean fuzzy sets and their applications. Expert Systems with Applications, 185, 115613. google scholar
  • Ji, Y., Xu, Y., Qu, S., Xu, Z., Wu, Z., & Nabe, M. (2021). A novel two-stage multi-criteria decision-making method based on interval-valued Pythagorean fuzzy aggregation operators with self-confidence levels. Arab. J. Sci. Eng. 46, 1561–1584. google scholar
  • Kaspar K., Kallyaperumal P. (2024). Optimising Automotive Logistics Using MCGDM: A Data-Driven Approach to the Selection of Warehouse Location with Octagonal Neutrosophic Application, Advances in Fuzzy Systems, 2024(1), 1-24. google scholar
  • Kersuliene, V., Zavadskas, E. K. and Turskis, Z. (2010). Selection of a rational dispute resolution method by applying a new step-wise weight assessment ratio analysis (SWARA). Journal of Business Economics & Management, 11, 243–258. google scholar
  • Kirişci, M. (2019a). Fibonacci statistical convergence on intuitionistic fuzzy normed spaces, Journal of Intelligent & Fuzzy Systems, 36, 5597-5604. google scholar
  • Kirişci, M. (2019b). Comparison of medical decision-making with intuitionistic fuzzy parameterised fuzzy soft set and Riesz summability. New Mathematics and Natural Computation, 15, 351–359. google scholar
  • Kirişci, M. (2021). Ω- Soft sets and medical decision-making applications. International Journal of Computer Mathematics, 98, 690–704. google scholar
  • Kirişci, M. (2022). Correlation coefficients of Fermatean fuzzy sets with their application. J. Maths. Sci. Model., 5, 16–23. google scholar
  • Kirişci, M. (2023a). Data analysis for panoramic X-ray selection: the Fermatean fuzzy-type correlation coefficients approach. Engineering Applications of Artificial Intelligence, 126, 106824. google scholar
  • Kirişci, M. (2023b). Fuzzy-type statistical concepts with medical decision-making application. Fuzzy Optimisation and Modelling Journal, 4, 1–14. google scholar
  • Kirişci, M. (2023c). New cosine similarity and distance measures for Fermatean fuzzy sets and the TOPSIS approach. Knowl Inf Sys, 65, 855–868. google scholar
  • Kirişci, M. (2024a). Measures of distance and entropy based on the Fermatean fuzzy-type soft sets approach. Univ. J. Maths. Appl., 7, 12–29. google scholar
  • Kirisci M. (2024b). Interval-valued Fermatean fuzzy-based risk assessment for self-driving vehicles. Applied Soft Computing, 152, 111265. google scholar
  • Kirisci M. (2025). An integrated decision-making process for the risk analysis of decentralised finance. Neural Computing and Applications, 37, 6021-6051. google scholar
  • Kirişci, M., Demir, I., & Simsek, N. (2022). Fuzzy ELECTRE multi-criteria group decision-making and the most suitable biomedical material selection. Artificial Intelligence in Medicine, 127, 102278. google scholar
  • Kirişci, M., & Simsek, N. (2022). Decision-making method related to Pythagorean fuzzy soft sets with infectious disease application. Journal of King Saud University-Computer and Information Sciences, 34, 5968–5978. google scholar
  • Kirişci, M., Kuzu, S., Kablan, A., Öngel, V. (2025). The critical success factors analysis for green supply chain management with a hybrid decision-making approach based on WASPAS and similarity measures. 14(3), 187. google scholar
  • Liu, P., Ali, Z., & Mahmood, T. (2023). Archimedean aggregation operators based on complex Pythagorean fuzzy sets using confidence levels and their application in decision making. Int. J. Fuzzy Syst., 25, 42–58. google scholar
  • Ma, Z. and Zeng, S. (2014). Confidence intuitionistic fuzzy hybrid weighted operator and its application in multi-criteria decision making. J. Distinct Maths. Sci. Cryptogr., 17, 529–538. google scholar
  • Mardani, A., Saraji, M. K., Mishra, A. R. and Rani, P. (2020). A novel extended approach under hesitant fuzzy sets to design a framework for assessing the key challenges of digital health intervention adoption during the COVID-19 outbreak. Appl Soft Comput., 96, 106613. google scholar
  • Mishra, A. R., & Rani, P. (2018). Interval-valued intuitionistic fuzzy WASPAS method: application in reservoir flood control management policy. Group Decis Negot, 27, 1047–1078. google scholar
  • Pamucar, D., Sremac, S., Stevic, Z., Cirovic, G., & Tomic, D. (2019). New multi-criteria LNN WASPAS model for evaluating the work of advisors in the transport of hazardous goods. Neural Comput Appl, 31, 5045–5068. google scholar
  • Pan, Y., Li, Y., Zeng, S., Hu, J., & Ullah, K. (2022). Green recycling supplier selection of shared bicycles: interval-valued Pythagorean fuzzy hybrid weighted methods based on self-confidence level. Int. J. Environ. Res. Public Health, 19, 5024. google scholar
  • Peng, X. and Yang, Y. (2016). Fundamental properties of interval-valued Pythagorean fuzzy aggregation operators. Int. J. Intell. Syst., 31, 444–487. google scholar
  • Rahman, K., Ayub, S., & Abdullah, S. (2021). Generalised intuitionistic fuzzy aggregation operators based on confidence levels for group decision making. Granul. Comput., 6, 867–886. google scholar
  • Rani, P., & Mishra, A. R. (2022). Interval-valued Fermatean fuzzy sets with multi-criteria weighted aggregated sum product assessmentbased decision analysis framework. Neural Computing and Applications, 34, 8051–8067. google scholar
  • Rani, P., Mishra, A. R. and Pardasani, K. R. (2010). A novel WASPAS approach for the multi-criteria physician selection problem with intuitionistic fuzzy type-2 sets. Soft Comput., 24, 2355–2367. google scholar
  • Sabaei, D.; Erkoyuncu, J.; Roy, R. (2015). A review of multi-criteria decision making methods for enhanced maintenance delivery. Procedia CIRP, 37, 30–35 google scholar
  • Seikh, M. R., & Chatterjee, P. (2024). Determination of the best renewable energy sources in India using SWARA-ARAS in a confidence level-based interval-valued Fermatean fuzzy environment. Applied Soft Computing, 155, 111495. google scholar
  • Senapati, T., & Yager, R. R. (2019a). Fermatian fuzzy weighted averaging/-geometric operators and their application in multi-criteria decision-making methods. Engineering Applications of Artificial Intelligence, 85, 112-12. google scholar
  • Senapati, T., & Yager, R. R. (2019b). Some new operations over Fermatean fuzzy numbers and application of fermatian fuzzy WPM in multiple criteria decision making. Informatica, 30, 391—412. google scholar
  • Senapati, T., & Yager, R. R. (2020). Fermatian fuzzy sets. J. Ambient Intell. Hum. Comput, 11, 663–674. google scholar
  • Shahsavarani, A.M., Azad Marz Abadi, E. (2015). The Bases, Principles, and Methods of Decision-Making: A review of literature. IJMR, 2, 214–225. google scholar
  • Shahzadi, G., & Akram, M. (2021). Group decision-making for selecting an antivirus mask under the Fermatean fuzzy soft information. Journal of Intelligent & Fuzzy Systems, 40, 1401–1416. google scholar
  • Simsek, N., & Kirişci, M. (2023). Incomplete Fermatean fuzzy preference relations and group decision-making. Topological Algebra and its Applications, 11, 20220125. google scholar
  • Sivageerthi, S., T ad Bathrinath, Uthayakumar, M., & Bhalaji, R. K. A. (2022). A SWARA method to analyse the risks in coal supply chain management. Materials Today: Proceedings, 50, 935–940. google scholar
  • Stevic, Z., Das, D. K., Tesic, R., & Vidas, V. D., M and. (2022). Objective criticism and negative conclusions on using the fuzzy SWARA method in multi-criteria decision-making. Mathematics, 10, 635. google scholar
  • Taherdoost, H.,, Madanchian, M. (2023). Multi-Criteria Decision Making (MCDM) Methods and Concepts. Encyclopaedia, 3(1), 77-87. google scholar
  • Triantaphyllou E., Sanchez A. (1997). A Sensitivity Analysis Approach for Some Deterministic Multi-Criteria Decision-Making Methods, Decision Sciences, 28(1), 151-194 google scholar
  • Ulutas, A., Karakus, C. B., & Topal, A. (2020). Location selection for logistics centre with fuzzy SWARA and COCOSO methods. Journal of Intelligent & Fuzzy Systems, 38, 4693–4709. google scholar
  • Vrtagic, S., Softic, E., Subotic, M., Stevic, Z., Dordevic, M. and Ponjavic, M. (2021). Ranking road sections based on the MCDM model: New improved fuzzy SWARA (IMF SWARA). Axiom, 10, 92. google scholar
  • Xian, S., Wan, W., & Yang, Z. (2020). Interval-valued Pythagorean fuzzy linguistic TODIM based on PCA and its application for emergency decision. Int J Intell Syst., 35, 2049–2086. google scholar
  • Xu, A., Ullah, I., Abbas, S. Z., Shakeel, M. and Ali, A. (2023). Analysis of cost and profit using aggregation operators on spherical fuzzy sets with confidence level. J. Intell. Fuzzy System, 45, 675–68. google scholar
  • Yager, R. R. (2013). Pythagorean fuzzy subsets. Proc. Joint IFSA World Congress and NAFIPS Annual Meeting. google scholar
  • Yager, R. R. (2014). Pythagorean membership grades in multi-criteria decision-making. IEEE Transactions on Fuzzy Systems, 22, 958–965. google scholar
  • Yager, R. R. and Abbasov, A. M. (2013). Pythagorean membership grades, complex numbers, and decision-making. Int J Intell Syst, 28, 436—452. google scholar
  • Yu, D. (2014). Intuitionistic fuzzy information aggregation under confidence levels. Appl. Soft Comput., 19, 147-160. google scholar
  • Zadeh, L. A. (1965). Fuzzy sets. Inf Comp, 8, 338–353. google scholar
  • Zavadskas, E. K., Turskis, Z., Antucheviciene, J., & Zakarevicius, A. (1965). Optimisation of weighted aggregated sum product assessment. google scholar
  • Electronics and Electrical Engineering, 8, 3–6. google scholar
Year 2025, Issue: 42, 51 - 68, 25.06.2025
https://doi.org/10.26650/ekoist.2025.42.1565596

Abstract

References

  • Adamu M., Raut A.N., Ibrahim Y. E., Alanazi H., Ahmed O. S. (2025). Multi-criteria decision-based optimisation and multivariable regression analysis of date palm fibre reinforced concrete modified with silica fume under normal and elevated temperatures, Scientific Reports, 15, 5092. google scholar
  • Alkandi, I., Alhajri, N., Alnaijim, A. (2025). Green supply chain management, business performance, and future challenges: Evidence from the emerging industrial sector. Sustainability, 17, 29. google scholar
  • Alrasheedi, M., Mardani, A., Mishra, A. R., Rani, P., & N L. (2022). An extended framework to evaluate sustainable suppliers in manufacturing companies using a new Pythagorean fuzzy entropy-SWARA-WASPAS decision-making approach. J. Enterp. Inf. Manag., 35 , 333–357. google scholar
  • Atanassov, K. (1986). Intuitionistic fuzzy sets. Fuzzy Sets and Systems, 20, 87–96. google scholar
  • Atanassov, K. and Gargov, G. (1989). Interval-valued intuitionistic fuzzy sets. Fuzzy Sets Syst, 31, 343–349. google scholar
  • Bouraimai M.B., Ibrahim B., Qui Y., Kridish M., Dantonka M. (2024). Integrated Spherical Decision-Making Model for Managing Climate Change Risks in Africa, Journal of Soft Computing and Decision Analytics, 2(1), 71-85. google scholar
  • Dehshiri S. J. H., Amiri M., Mostafaeipour A., Le T. (2024). Evaluation of renewable energy projects based on sustainability goals using a hybrid Pythagorean fuzzy-based decision approach, Energy, 297, 131272 google scholar
  • Deveci, M., Varouchakis, E. A., Brito-Parada, P., Mishra, A. R., Rani, P., Bolgkoranou, M. and Galetakis, M. (2023). Evaluation of risks impeding sustainable mining using the Fermatean fuzzy score function-based SWARA method. Applied Soft Computing, 139, 110220. google scholar
  • Garg, H. (2016a). A new generalised Pythagorean fuzzy information aggregation using Einstein operations and its application to decision making. Int J Intell Syst, 31, 886–920. google scholar
  • Garg, H. (2016b). Novel correlation coefficients between Pythagorean fuzzy sets and their applications to the decision-making process. Int J Intell Syst, 31, 1234–1252. google scholar
  • Garg, H. (2016c). A series of intuitionistic averaging aggregation operators. SpringerPlus, 5, 999. google scholar
  • Garg, H. (2017). Confidence levels based on Pythagorean fuzzy aggregation operators and their application to the decision-making process. Comput. Maths. Organ. Theory, 23, 546–571. google scholar
  • Garg, H., Shahzadi, G., & Akram, M. (2020). Decision-making analysis based on Fermatean fuzzy Yager aggregation operators with application in a COVID-19 testing facility. Mathematical Problems in Engineering, 2020, 7279027. google scholar
  • Garg, H., Rahim, M., Amin, F., & Jafari, S. (2023). Confidence levels-based cubic Fermatean fuzzy aggregation operators and their application to MCDM problems. Symmetry, 15, 260. google scholar
  • Ghoushchi S. J., Haghshenas S. S., Vahabzadeh S., Guido G., Geem Z.W. (2024). An integrated MCDM approach for enhancing efficiency in connected autonomous vehicles through augmented intelligence and IoT integration, Results in Engineering, 23, 102626 google scholar
  • Gündoğdu, F. K., & Kahraman, C. (2019). Extension of WASPAS with spherical fuzzy sets. Informatica, 30, 269-292. google scholar
  • Jeevaraj, S. (2021). Ordering of interval-valued Fermatean fuzzy sets and their applications. Expert Systems with Applications, 185, 115613. google scholar
  • Ji, Y., Xu, Y., Qu, S., Xu, Z., Wu, Z., & Nabe, M. (2021). A novel two-stage multi-criteria decision-making method based on interval-valued Pythagorean fuzzy aggregation operators with self-confidence levels. Arab. J. Sci. Eng. 46, 1561–1584. google scholar
  • Kaspar K., Kallyaperumal P. (2024). Optimising Automotive Logistics Using MCGDM: A Data-Driven Approach to the Selection of Warehouse Location with Octagonal Neutrosophic Application, Advances in Fuzzy Systems, 2024(1), 1-24. google scholar
  • Kersuliene, V., Zavadskas, E. K. and Turskis, Z. (2010). Selection of a rational dispute resolution method by applying a new step-wise weight assessment ratio analysis (SWARA). Journal of Business Economics & Management, 11, 243–258. google scholar
  • Kirişci, M. (2019a). Fibonacci statistical convergence on intuitionistic fuzzy normed spaces, Journal of Intelligent & Fuzzy Systems, 36, 5597-5604. google scholar
  • Kirişci, M. (2019b). Comparison of medical decision-making with intuitionistic fuzzy parameterised fuzzy soft set and Riesz summability. New Mathematics and Natural Computation, 15, 351–359. google scholar
  • Kirişci, M. (2021). Ω- Soft sets and medical decision-making applications. International Journal of Computer Mathematics, 98, 690–704. google scholar
  • Kirişci, M. (2022). Correlation coefficients of Fermatean fuzzy sets with their application. J. Maths. Sci. Model., 5, 16–23. google scholar
  • Kirişci, M. (2023a). Data analysis for panoramic X-ray selection: the Fermatean fuzzy-type correlation coefficients approach. Engineering Applications of Artificial Intelligence, 126, 106824. google scholar
  • Kirişci, M. (2023b). Fuzzy-type statistical concepts with medical decision-making application. Fuzzy Optimisation and Modelling Journal, 4, 1–14. google scholar
  • Kirişci, M. (2023c). New cosine similarity and distance measures for Fermatean fuzzy sets and the TOPSIS approach. Knowl Inf Sys, 65, 855–868. google scholar
  • Kirişci, M. (2024a). Measures of distance and entropy based on the Fermatean fuzzy-type soft sets approach. Univ. J. Maths. Appl., 7, 12–29. google scholar
  • Kirisci M. (2024b). Interval-valued Fermatean fuzzy-based risk assessment for self-driving vehicles. Applied Soft Computing, 152, 111265. google scholar
  • Kirisci M. (2025). An integrated decision-making process for the risk analysis of decentralised finance. Neural Computing and Applications, 37, 6021-6051. google scholar
  • Kirişci, M., Demir, I., & Simsek, N. (2022). Fuzzy ELECTRE multi-criteria group decision-making and the most suitable biomedical material selection. Artificial Intelligence in Medicine, 127, 102278. google scholar
  • Kirişci, M., & Simsek, N. (2022). Decision-making method related to Pythagorean fuzzy soft sets with infectious disease application. Journal of King Saud University-Computer and Information Sciences, 34, 5968–5978. google scholar
  • Kirişci, M., Kuzu, S., Kablan, A., Öngel, V. (2025). The critical success factors analysis for green supply chain management with a hybrid decision-making approach based on WASPAS and similarity measures. 14(3), 187. google scholar
  • Liu, P., Ali, Z., & Mahmood, T. (2023). Archimedean aggregation operators based on complex Pythagorean fuzzy sets using confidence levels and their application in decision making. Int. J. Fuzzy Syst., 25, 42–58. google scholar
  • Ma, Z. and Zeng, S. (2014). Confidence intuitionistic fuzzy hybrid weighted operator and its application in multi-criteria decision making. J. Distinct Maths. Sci. Cryptogr., 17, 529–538. google scholar
  • Mardani, A., Saraji, M. K., Mishra, A. R. and Rani, P. (2020). A novel extended approach under hesitant fuzzy sets to design a framework for assessing the key challenges of digital health intervention adoption during the COVID-19 outbreak. Appl Soft Comput., 96, 106613. google scholar
  • Mishra, A. R., & Rani, P. (2018). Interval-valued intuitionistic fuzzy WASPAS method: application in reservoir flood control management policy. Group Decis Negot, 27, 1047–1078. google scholar
  • Pamucar, D., Sremac, S., Stevic, Z., Cirovic, G., & Tomic, D. (2019). New multi-criteria LNN WASPAS model for evaluating the work of advisors in the transport of hazardous goods. Neural Comput Appl, 31, 5045–5068. google scholar
  • Pan, Y., Li, Y., Zeng, S., Hu, J., & Ullah, K. (2022). Green recycling supplier selection of shared bicycles: interval-valued Pythagorean fuzzy hybrid weighted methods based on self-confidence level. Int. J. Environ. Res. Public Health, 19, 5024. google scholar
  • Peng, X. and Yang, Y. (2016). Fundamental properties of interval-valued Pythagorean fuzzy aggregation operators. Int. J. Intell. Syst., 31, 444–487. google scholar
  • Rahman, K., Ayub, S., & Abdullah, S. (2021). Generalised intuitionistic fuzzy aggregation operators based on confidence levels for group decision making. Granul. Comput., 6, 867–886. google scholar
  • Rani, P., & Mishra, A. R. (2022). Interval-valued Fermatean fuzzy sets with multi-criteria weighted aggregated sum product assessmentbased decision analysis framework. Neural Computing and Applications, 34, 8051–8067. google scholar
  • Rani, P., Mishra, A. R. and Pardasani, K. R. (2010). A novel WASPAS approach for the multi-criteria physician selection problem with intuitionistic fuzzy type-2 sets. Soft Comput., 24, 2355–2367. google scholar
  • Sabaei, D.; Erkoyuncu, J.; Roy, R. (2015). A review of multi-criteria decision making methods for enhanced maintenance delivery. Procedia CIRP, 37, 30–35 google scholar
  • Seikh, M. R., & Chatterjee, P. (2024). Determination of the best renewable energy sources in India using SWARA-ARAS in a confidence level-based interval-valued Fermatean fuzzy environment. Applied Soft Computing, 155, 111495. google scholar
  • Senapati, T., & Yager, R. R. (2019a). Fermatian fuzzy weighted averaging/-geometric operators and their application in multi-criteria decision-making methods. Engineering Applications of Artificial Intelligence, 85, 112-12. google scholar
  • Senapati, T., & Yager, R. R. (2019b). Some new operations over Fermatean fuzzy numbers and application of fermatian fuzzy WPM in multiple criteria decision making. Informatica, 30, 391—412. google scholar
  • Senapati, T., & Yager, R. R. (2020). Fermatian fuzzy sets. J. Ambient Intell. Hum. Comput, 11, 663–674. google scholar
  • Shahsavarani, A.M., Azad Marz Abadi, E. (2015). The Bases, Principles, and Methods of Decision-Making: A review of literature. IJMR, 2, 214–225. google scholar
  • Shahzadi, G., & Akram, M. (2021). Group decision-making for selecting an antivirus mask under the Fermatean fuzzy soft information. Journal of Intelligent & Fuzzy Systems, 40, 1401–1416. google scholar
  • Simsek, N., & Kirişci, M. (2023). Incomplete Fermatean fuzzy preference relations and group decision-making. Topological Algebra and its Applications, 11, 20220125. google scholar
  • Sivageerthi, S., T ad Bathrinath, Uthayakumar, M., & Bhalaji, R. K. A. (2022). A SWARA method to analyse the risks in coal supply chain management. Materials Today: Proceedings, 50, 935–940. google scholar
  • Stevic, Z., Das, D. K., Tesic, R., & Vidas, V. D., M and. (2022). Objective criticism and negative conclusions on using the fuzzy SWARA method in multi-criteria decision-making. Mathematics, 10, 635. google scholar
  • Taherdoost, H.,, Madanchian, M. (2023). Multi-Criteria Decision Making (MCDM) Methods and Concepts. Encyclopaedia, 3(1), 77-87. google scholar
  • Triantaphyllou E., Sanchez A. (1997). A Sensitivity Analysis Approach for Some Deterministic Multi-Criteria Decision-Making Methods, Decision Sciences, 28(1), 151-194 google scholar
  • Ulutas, A., Karakus, C. B., & Topal, A. (2020). Location selection for logistics centre with fuzzy SWARA and COCOSO methods. Journal of Intelligent & Fuzzy Systems, 38, 4693–4709. google scholar
  • Vrtagic, S., Softic, E., Subotic, M., Stevic, Z., Dordevic, M. and Ponjavic, M. (2021). Ranking road sections based on the MCDM model: New improved fuzzy SWARA (IMF SWARA). Axiom, 10, 92. google scholar
  • Xian, S., Wan, W., & Yang, Z. (2020). Interval-valued Pythagorean fuzzy linguistic TODIM based on PCA and its application for emergency decision. Int J Intell Syst., 35, 2049–2086. google scholar
  • Xu, A., Ullah, I., Abbas, S. Z., Shakeel, M. and Ali, A. (2023). Analysis of cost and profit using aggregation operators on spherical fuzzy sets with confidence level. J. Intell. Fuzzy System, 45, 675–68. google scholar
  • Yager, R. R. (2013). Pythagorean fuzzy subsets. Proc. Joint IFSA World Congress and NAFIPS Annual Meeting. google scholar
  • Yager, R. R. (2014). Pythagorean membership grades in multi-criteria decision-making. IEEE Transactions on Fuzzy Systems, 22, 958–965. google scholar
  • Yager, R. R. and Abbasov, A. M. (2013). Pythagorean membership grades, complex numbers, and decision-making. Int J Intell Syst, 28, 436—452. google scholar
  • Yu, D. (2014). Intuitionistic fuzzy information aggregation under confidence levels. Appl. Soft Comput., 19, 147-160. google scholar
  • Zadeh, L. A. (1965). Fuzzy sets. Inf Comp, 8, 338–353. google scholar
  • Zavadskas, E. K., Turskis, Z., Antucheviciene, J., & Zakarevicius, A. (1965). Optimisation of weighted aggregated sum product assessment. google scholar
  • Electronics and Electrical Engineering, 8, 3–6. google scholar
There are 66 citations in total.

Details

Primary Language English
Subjects Econometric and Statistical Methods, Economic Models and Forecasting, Applied Macroeconometrics
Journal Section RESEARCH ARTICLE
Authors

Ali Kablan 0000-0003-2711-0034

Serdar Kuzu 0000-0001-8178-8749

Murat Kirisci 0000-0003-4938-5207

Publication Date June 25, 2025
Submission Date October 11, 2024
Acceptance Date May 28, 2025
Published in Issue Year 2025 Issue: 42

Cite

APA Kablan, A., Kuzu, S., & Kirisci, M. (2025). A Hybrid Decision-Making Method based on Interval-Valued Fermatean Fuzzy Sets and a Green Supplier Chain Management Application. EKOIST Journal of Econometrics and Statistics(42), 51-68. https://doi.org/10.26650/ekoist.2025.42.1565596