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.
