Pythagorean fuzzy interaction aggregation operators and their application to multiple attribute decision making

Article type: Research Article

Authors: Wei, Guiwu^{; *}

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

Correspondence: [*] Corresponding author. Guiwu Wei, School of Business, Sichuan Normal University, Chengdu 610101, P.R. China. Tel./Fax: +86 2884480719; E-mail: weiguiwu1973@sicnu.edu.cn.

Abstract: In this paper, we investigate the multiple attribute decision making problems with Pythagorean fuzzy information. Then, we utilize arithmetic and geometric operations to develop some Pythagorean fuzzy interaction aggregation operators: Pythagorean fuzzy interaction weighted average (PFIWA) operator, Pythagorean fuzzy interaction weighted geometric (PFIWG) operator, Pythagorean fuzzy interaction ordered weighted average (PFIOWA) operator, Pythagorean fuzzy interaction ordered weighted geometric (PFIOWG) operator, Pythagorean fuzzy interaction hybrid average (PFIHA) operator and Pythagorean fuzzy interaction hybrid geometric (PFIHG) operator. The prominent characteristics 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 for enterprise resource planning system selection is given to verify the developed approach and to demonstrate its practicality and effectiveness.

Keywords: Multiple attribute decision making, Pythagorean fuzzy numbers, Pythagorean fuzzy interaction weighted average (PFIWA) operator, Pythagorean fuzzy interaction weighted geometric (PFIWG) operator, enterprise resource planning system selection

DOI: 10.3233/JIFS-162030

Journal: Journal of Intelligent & Fuzzy Systems, vol. 33, no. 4, pp. 2119-2132, 2017