Approaches to multi-attribute decision making with risk preference under extended Pythagorean fuzzy environment

The aim of this paper is to introduce the concept of extended Pythagorean fuzzy set (EPFS) as a generalization of extended intuitionistic fuzzy set. Further we develop credible extended Pythagorean fuzzy set (C-EPFS) and possible extended Pythagorean fuzzy set (P-EPFS). Then we explore the fundamentals operations, expressions and the selection rule of C-EPFS and P-EPFS. We propose the corresponding aggregation operators and investigate the relationship among these operators. The credible extended Pythagorean fuzzy numbers (C-EPFNs) and possible extended Pythagorean fuzzy numbers (P-EPFNs) tends to aggregate the extreme and aggregating complete information respectively. Finally to show the applicability and effectiveness of the proposed approach a preference risk decision making problem is given.