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Fermatean Fuzzy Schweizer-Sklar Operators and BWM-Entropy-Based Combined Compromise Solution Approach: An Application
Dongmei Wei1,2, Dan Meng3, Yuan Rong4
1School of Computer and Software Engineering, Xihua University, Chengdu 610039, China.
This study introduces a new decision-making method using Fermatean fuzzy sets (FFS) and the Combined Compromise Solution (CoCoSo) approach for green supplier assessment. The proposed method offers improved stability and credibility in ranking suppliers.
Area of Science:
- Decision Sciences
- Fuzzy Set Theory
- Operations Research
Background:
- Fermatean fuzzy sets (FFS) generalize existing fuzzy set theories, offering enhanced representation of complex data and expert flexibility.
- The Combined Compromise Solution (CoCoSo) is a multi-criteria decision-making technique that aggregates multiple strategies for objective selection.
- Assessing green suppliers is crucial for sustainable business practices, requiring robust decision-making frameworks.
Purpose of the Study:
- To develop an integrated multi-criteria group-decision-making (MCGDM) approach for green supplier assessment.
- To introduce novel operations and aggregation operators for Fermatean fuzzy numbers.
- To propose a new Fermatean fuzzy entropy measure for criteria weighting.
Main Methods:
- Development of new Fermatean fuzzy number operations based on Schweizer-Sklar norms and four aggregation operators.
- Introduction of a Fermatean fuzzy entropy measure for combined criteria weighting using subjective (Best-Worst Method) and objective (entropy weight) approaches.
- Application of the integrated MCGDM approach based on CoCoSo and Best-Worst Method-Entropy for green supplier ranking.
Main Results:
- The proposed methodology demonstrates enhanced stability and credibility in ranking green suppliers compared to existing Fermatean fuzzy approaches.
- New Fermatean fuzzy operations and aggregation operators with detailed property analysis were developed.
- The integrated Best-Worst Method-Entropy and CoCoSo approach effectively determined criteria weights and ranked suppliers.
Conclusions:
- The presented MCGDM approach based on Fermatean fuzzy sets and CoCoSo provides a stable and credible tool for green supplier assessment.
- The novel Fermatean fuzzy operations and entropy measure contribute to the advancement of decision-making techniques under uncertainty.
- The methodology exhibits higher universality and credibility, outperforming prior Fermatean fuzzy decision-making methods.
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