Models for Multiple Attribute Decision Making with Interval-Valued Pythagorean Fuzzy Muirhead Mean Operators and Their Application to Green Suppliers Selection

Article type: Research Article

Authors: Tang, Xiyue | Wei, Guiwu^{; *} | Gao, Hui

Affiliations: School of Business, Sichuan Normal University, Chengdu, 610101, PR China. E-mail: [email protected]

Correspondence: [*] Corresponding author.

Abstract: In this paper, we extend MM operator and dual MM (DMM) operator to process the interval-valued Pythagorean fuzzy numbers (IVPFNs) and then to solve the MADM problems. Firstly, we develop some interval-valued Pythagorean fuzzy Muirhead mean operators by extending MM and DMM operators to IVPFNs. Then, we prove some properties and discuss some special cases with respect to the parameter vector. Moreover, we present some new methods to deal with MADM problems with the IVPFNs based on the proposed MM and DMM operators. Finally, we verify the validity and reliability of our methods by using an application example for green supplier selections, and analyse the advantages of our methods by comparing it with other existing methods.

Keywords: multiple attribute decision making (MADM), Muirhead mean (MM) operator, dual Muirhead mean (DMM) operator, interval-valued Pythagorean fuzzy numbers (IVPFNs), interval-valued Pythagorean Fuzzy Muirhead mean (IVPFMM) operator, interval-valued Pythagorean Fuzzy dual Muirhead mean (IVPFDMM) operator, green suppliers selection

Journal: Informatica, vol. 30, no. 1, pp. 153-186, 2019