Fermatean Fuzzy CRADIS Approach Based on Triangular Divergence for Selecting Online Shopping Platform

Subject Areas : Transactions on Fuzzy Sets and Systems

Mijanur Rahaman Seikh ¹ , Arnab Mukherjee ²

1 - Department of Mathematics, Kazi Nazrul University, Asansol, 713340, India.
2 - Department of Mathematics, Kazi Nazrul University, Asansol, 713340, India.

Received: 2024-07-26 Accepted : 2024-09-17 Published : 2024-11-05

Keywords: Multi-attribute decision-making, Fermatean fuzzy set, Distance measure, CRADIS, Triangular divergence, Online shopping platform selection.,

Abstract :

As the digital landscape continues to evolve, the selection of an appropriate online shop-ping platform has become increasingly crucial for both consumers and businesses. This paper introduces a novel approach that combines the Fermatean fuzzy set theory with the triangular divergence distance measure in Compromise Ranking of Alternatives from Distance to Ideal Solution (CRADIS) method to streamline the decision-making process in online platform selection. Through a comprehensive example, we illustrate the application of this approach in evaluating and ranking four distinct online shopping latforms based on multiple criteria. Through this integrated approach, decision-makers can gain valuable insights into the rela-tive merits of each online shopping platform, allowing them to make informed choices aligned with their preferences and requirements. Furthermore, by accommodating uncertainty and imprecision, the Fermatean fuzzy set theory enhances the robustness of the decision-making process, minimizing the risk of making suboptimal decisions. Overall, this paper demon-strates the practical applicability of Fermatean fuzzy set theory in decision support systems for online platform selection. To demonstrate the proposed method’s applicability, we have compared the results with existing Multi-attribute decision making (MADM) methods. To establish its stability, we conducted a sensitivity analysis. By leveraging the CRADIS method alongside Fermatean fuzzy set theory, decision-makers can navigate the complex landscape of online shopping platforms with greater confidence and efficiency, ultimately leading to more satisfactory outcomes for both consumers and businessesalike.

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