Abstract

Fermatean fuzzy sets are widely used in multi-criteria group decision-making (MCGDM) process as it offers great convenience in describing expert inference information. In this study, we propose a new Fermatean fuzzy MCGDM approach in which the criteria weights are derived based on the reliability. Firstly, the exponential Fermatean fuzzy entropy (EFFE) measure is introduced to measure the uncertainty of Fermatean fuzzy information. Secondly, combining the EFFE and maximizing deviations approach, a reliability-based optimized model for solving criteria weights is proposed. Subsequencely, We construct a new MCGDM approach with unknown criteria weights by this optimization model. Finally, we implement our approach to evaluation of Indian eletronics manufacturing firms.

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