Pythagorean fuzzy Hamacher Prioritized aggregation operators in multiple attribute decision making

Article type: Research Article

Authors: Gao, Hui^{; *}

Affiliations: School of Business, Sichuan Normal University, Chengdu, P.R. China

Correspondence: [*] Corresponding author. Hui Gao, Tel./Fax: +86 2884480719; E-mails: [email protected] and [email protected].

Abstract: In this paper, we utilize Hamacher operations and Prioritized aggregation operators to develop some Pythagorean fuzzy Hamacher Prioritized aggregation operators: Pythagorean fuzzy Hamacher Prioritized average (PFHPA) operator, Pythagorean fuzzy Hamacher Prioritized geometric (PFHPG) operator, Pythagorean fuzzy Hamacher Prioritized weighted average (PFHPWA) operator and Pythagorean fuzzy Hamacher Prioritized weighted geometric (PFHPWG) operator. The prominent characteristic of these proposed operators are studied. Then, we have utilized these operators to develop some approaches to solve the Pythagorean fuzzy multiple attribute decision making problems. Finally, a practical example is given to verify the developed approach and a comparative analysis is also delivered.

Keywords: Multiple attribute decision making (MADM), Pythagorean fuzzy numbers(PFNs), Hamacher aggregation operators, prioritized aggregation operators, Pythagorean fuzzy Hamacher Prioritized weighted average (PFHPWA) operator, Pythagorean fuzzy Hamacher Prioritized weighted geometric (PFHPWG) operator

DOI: 10.3233/JIFS-172262

Journal: Journal of Intelligent & Fuzzy Systems, vol. 35, no. 2, pp. 2229-2245, 2018