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Score-Based Multiple Criteria Decision Making Process by Using P-Rung Orthopair Fuzzy Sets
Volume 32, Issue 4 (2021), pp. 709–739
Pub. online: 20 December 2021      Type: Research Article     
Received
1 June 2019
Accepted
1 March 2020
Published
20 December 2021

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.

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Biographies

Farhadinia Bahram
https://orcid.org/0000-0003-2580-8789
bfarhadinia@qiet.ac.ir

B. Farhadinia is an associate professor at Quchan University of Technology, Iran. He has published 2 monographs, 1 chapter, and more than 50 peer-reviewed papers, many in high-quality international journals including Cognitive Computation, Knowledge-Based Systems, Soft Computing, Iranian Journal of Fuzzy Systems, Information Sciences. He is an Iranian Highly Cited Researcher since 2019.

Liao Huchang
liaohuchang@scu.edu.cn

H. Liao is a research fellow at the Business School, Sichuan University, Chengdu, China. He has published 3 monographs, 1 chapter, and more than 200 peer-reviewed papers, many in high-quality international journals including European Journal of Operational Research, Omega, IEEE Transactions on Fuzzy Systems, IEEE Transaction on Cybernetics, Information Sciences. He is a Highly Cited Researcher since 2019 and the Senior Member of IEEE since 2017.


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

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