Parameter-reduction of Pythagorean fuzzy soft sets and corresponding algorithms

Abstract

This paper introduces the parameter-reduction of Pythagorean fuzzy soft sets. Parameter-reduction for a soft set is the process of reducing the quantity of parameters that determine a given soft set not changing its choice objects. There has been a rapid development in the investigation of more notions that are capable of expressing vagueness in a parametric manner and developing an algorithm for decision-making problems. Pythagorean fuzzy soft sets are one of the best platforms to express uncertainty as it the generalization of soft sets, fuzzy soft sets including intuitionistic fuzzy soft sets. Various algorithms for decision-making problems centered on Pythagorean fuzzy soft sets have been developed recently. In this scenario, the development of parameter- reduction for Pythagorean fuzzy soft sets is inevitable because it reduces the complexity of decision-making without affecting the optimal decision. Here, two algorithms for parameter-reduction is introduced and illustrated with examples.