Score-Based Multiple Criteria Decision Making Process by Using P-Rung Orthopair Fuzzy Sets

Article type: Research Article

Authors: Farhadinia, Bahram^{1; *} | Liao, Huchang²

Affiliations: [1] Department of Mathematics, Quchan University of Technology, Iran | [2] Business School, Sichuan University, Chengdu 610064, PR China

Correspondence: [*] Corresponding author.

Abstract: A p-rung orthopair fuzzy set (p-ROFS) describes a generalization of intuitionistic fuzzy set and Pythagorean fuzzy set in the case where we face a larger representation space of acceptable membership grades, and moreover, it gives a decision maker more flexibility in expressing his/her real preferences. Under the p-rung orthopair fuzzy environment, we are going to propose a novel and parametrized score function of p-ROFSs by incorporating the idea of weighted average of the degree of membership and non-membership functions. In view of this fact, this study is further undertaken to investigate and present different properties of the proposed score function for p-ROFSs. Moreover, we indicate that this ranking technique reduces some of the drawbacks of the existing ones. Eventually, we develop an approach based on the above-mentioned ranking technique to deal with multiple criteria decision making problems with p-rung orthopair fuzzy information.

Keywords: p-rung orthopair fuzzy set, multiple criteria decision making, score function

DOI: 10.15388/20-INFOR412

Journal: Informatica, vol. 32, no. 4, pp. 709-739, 2021