Beal’s Fuzzy Relations and Its Applications in Decision Making Problems

Abstract

Introduction: This study introduces the conception of Beal’s fuzzy relation (BFR), which will help to remove certain limitations associated with Pythagorean (PFR), fermatean (FFR) and intuitionistic fuzzy relation (IFR). Some basic operations in this regard are given for Beal’s fuzzy relations (BFR). The set of all Beal’s fuzzy relations leads to several algebric structures for these operations (semi-ring, and bounded distributive lattice). Additionally, an application of the designed approach is proposed for entropy measure orthopairean TOPSIS algorthim. Moreover, the comparative analysis of the proposed method with some existing ideas is also presented by given several examples to authenticate the feasibility and superiority of the proposed approach.