A Multi-Attribute Decision-Making Technique for Supplier Selection Using Complex Picture Fuzzy Hypersoft Set

Abstract

This research deals with the complexities of multi-attribute decision making (MADM) under uncertainty, where traditional models struggle to handle imprecise and contravening data. To overcome these restrictions a novel framework, Complex Picture Fuzzy Hypersoft Set (CPicFHySS) is acquainted, which incorporates complex fuzzy domain along with picture fuzzy and hypersoft sets to capture multidimensional uncertainty. This research starts with the new hybrid structure CPicFHySS, along with its some set-theoretic properties. Further using newly constructed structure an MADM-based algorithm is presented, which improves the results of multi-criteria decision making process. The real-world case-study validates the newly presented structure, demonstrating its value in handling uncertainty and ambiguity in daily life. Finally, to highlight the superiority of CPicFHySS a comparative analysis with already existing models is presented. Under uncertain environments this research gives a solid mathematical foundation for decision-making, with potential applications in engineering, business analytics, supplier and energy portfolios selection.