Fermatean Fuzzy Schweizer–Sklar Operators and BWM-Entropy-Based Combined Compromise Solution Approach: An Application to Green Supplier Selection

Abstract

The Fermatean fuzzy set (FFS) is a momentous generalization of a intuitionistic fuzzy set and a Pythagorean fuzzy set that can more accurately portray the complex vague information of elements and has stronger expert flexibility during decision analysis. The Combined Compromise Solution (CoCoSo) approach is a powerful decision-making technique to choose the ideal objective by fusing three aggregation strategies. In this paper, an integrated, multi-criteria group-decision-making (MCGDM) approach based on CoCoSo and FFS is used to assess green suppliers. To begin, several innovative operations of Fermatean fuzzy numbers based on Schweizer–Sklar norms are presented, and four aggregation operators utilizing the proposed operations are also developed. Several worthwhile properties of the advanced operations and operators are explored in detail. Next, a new Fermatean fuzzy entropy measure is propounded to determine the combined weight of criteria, in which the subjective and objective weights are computed by an improved best-and-worst method (BWM) and entropy weight approach, respectively. Furthermore, MCGDM based on CoCoSo and BWM-Entropy is brought forward and employed to sort diverse green suppliers. Lastly, the usefulness and effectiveness of the presented methodology is validated by comparison, and the stability of the developed MCGDM approach is shown by sensitivity analysis. The results shows that the introduced method is more stable during ranking of green suppliers, and the comparative results expound that the proposed method has higher universality and credibility than prior Fermatean fuzzy approaches.

Comprehensive evaluation and spatial-temporal differences analysis of China’s inter-provincial doing business environment based on Entropy-CoCoSo method

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Extended Multicriteria Group Decision Making with a Novel Aggregation Operator for Emergency Material Supplier Selection

“…According to Table 5 , , , and appraise Z 1 , Z 2 , and Z 3 based on the above 26 criteria. According to relevant studies [ 63 , 100 , 101 , 102 , 103 , 104 ] and the context of the emergency material supplier selection problem, we use 10 language variables (ranging from Excellent to Very, Very Bad) and make decision makers choose the language variable that best fits the corresponding alternative for evaluation. All calculations in this paper are based on Matlab 2018a software.…”

An efficient spherical fuzzy MEREC–CoCoSo approach based on novel score function and aggregation operators for group decision making

“…Wang et al ( 2023a ) propounded an improved version of CoCoSo method for T-SFS based on some novel Frank softmax aggregation operators, and the results showed that the improved method possesses some significant merits such as higher robustness and feasibility. Nevertheless, the CoCoSo approach is applied to different applications by scholars and researches (Deveci et al 2022 ; Lai et al 2022 ; Pamucar and Gorcun 2022 ; Panpatil et al 2022 ; Wei et al 2022 ; Zhang and Wei 2023 ; Zhu et al 2023 ).…”