Journal
JOURNAL OF INTELLIGENT & FUZZY SYSTEMS
Volume 36, Issue 1, Pages 325-335Publisher
IOS PRESS
DOI: 10.3233/JIFS-181385
Keywords
Extended Pythagorean fuzzy set (EPFS); credible extended Pythagorean fuzzy set (C-EPFS); possible extended Pythagorean fuzzy set (P-EPFS); decision making
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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.
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