Multi-Criteria Group Decision-Making Using Spherical Fuzzy Prioritized Weighted Aggregation Operators

Abstract

Spherical fuzzy sets, originally proposed by F.K. Gündogdu, C. Kahraman, Spherical fuzzy sets and spherical fuzzy TOPSIS method, J. Intell. Fuzzy Syst. 36 (2019), 337-352, can handle the information of type: yes, no, abstain and refusal, owing to the feature of broad space of admissible triplets. This remarkable feature of spherical fuzzy set to manage the uncertainty and vagueness distinguishes it from other fuzzy set models. In this research article, we utilize spherical fuzzy sets and prioritized weighted aggregation operators to construct some spherical fuzzy prioritized weighted aggregation operators, including spherical fuzzy prioritized weighted averaging operator and spherical fuzzy prioritized weighted geometric operator. We discuss some properties which are satisfied by these operators. Further, we establish an algorithm to the multi-criteria group decision-making problem by utilizing the aforesaid operators. To elaborate the applicability of proposed operators in decision-making, we apply the algorithm to a numerical example which is related to the appointment for the post of Finance Manager. Finally, to demonstrate the authenticity of presented operators, we conduct a comparison with existing methods.

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