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

Article type: Research Article

Authors: Zeb, Aurang^a | Khan, Muhammad Sajjad Ali^{b; *} | Ibrar, Muhammad^a

Affiliations: [a] Department of Mathematics, University of Science and Technology Bannu, KPK, Pakistan | [b] Deparment of Mathematics Hazara University, Mansehra, KPK, Pakistan

Correspondence: [*] Corresponding author. Muhammad Sajjad Ali Khan, Department of Mathematics Hazara University, Mansehra, KPK, Pakistan. E-mail: sajjadalimath@yahoo.com.

Abstract: 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. Keywords: Extended Pythagorean fuzzy set (EPFS), credible extended Pythagorean fuzzy set (C-EPFS), possible extended Pythagorean fuzzy set (P-EPFS), decision making.

Keywords: Extended Pythagorean fuzzy set (EPFS), credible extended Pythagorean fuzzy set (C-EPFS), possible extended Pythagorean fuzzy set (P-EPFS), decision making

DOI: 10.3233/JIFS-181385

Journal: Journal of Intelligent & Fuzzy Systems, vol. 36, no. 1, pp. 325-335, 2019