Multiple Criteria Group Decision-Making Using Fermatean Fuzzy Soft Matrices and Their Medical Applications

Abstract

This paper introduces a brand new algebraic methodology, Fermatean fuzzy soft matrices. A new hybrid tool called the Fermatean fuzzy soft set combines the strengths of the Fermatean fuzzy set and the parametric tool soft set to handle vague and ambiguous situations in various mathematical problems. Fundamental set operations of Fermatean fuzzy soft matrices are defined, and their properties are examined. Two algorithms using the score matrix and utility matrix have been proposed for medical diagnosis problems. Each of the applications has been successfully demonstrated using numerical examples. Finally, a brief comparison between the proposed model and several previous models is presented to ensure the feasibility of the proposed strategy.