Pythagorean m-polar Fuzzy Soft Sets with TOPSIS Method for MCGDM

Abstract

In this article, we introduce the concept of Pythagorean m-polar fuzzy soft sets (PmFSSs). This set reduces to Pythagorean fuzzy soft set for m = 1. We define algebraic operations and some characteristics of PmFSSs. We define some linguistic terms utilizing the notion of product of PmFSSs (⊗) by assigning different numeric values to the constant k ∈ [0, ∞[ and present an illustration to determine whether the traits of being well-dressed and attractive personality is possessed by a person or not and up to what extent. We present an application of PmFSSs in multi-criteria group decision making (MCGDM) problem of appraisal of employee for promotion making use of the well-distinguished tool TOPSIS.