Multi-Criteria Decision-Making Methods based on Aggregation Operators under Pythagorean Fuzzy Sets

Abstract

In this article, we present a new notion of Pythagorean fuzzy sets and define several fundamental operators, namely union, intersection, complement, score function, and accuracy function. In addition, we introduce various aggregation operators, including the Pythagorean Fuzzy Weighted Average (PFWA) oper ator, Pythagorean Fuzzy Weighted Geometric (PFWG) operator, Pythagorean Fuzzy Weighted Power Average (PFWPA) operator, and Pythagorean Fuzzy Weighted Power Geometric (PFWPG) operator. Furthermore, we formulate a multi-criteria decision-making (MCDM) problem and propose an algorithm based on these aggregation operators under the Pythagorean fuzzy set framework.