Stochastic multiple attribute decision making with Pythagorean hesitant fuzzy set based on regret theory

Nian Zhang; Xue Yuan; Jin Liu; Guiwu Wei; Nian Zhang; Xue Yuan; Jin Liu; Guiwu Wei

doi:10.3934/mbe.2023559

Mathematical Biosciences and Engineering

2023, Volume 20, Issue 7: 12562-12578. doi: 10.3934/mbe.2023559

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Research article

Stochastic multiple attribute decision making with Pythagorean hesitant fuzzy set based on regret theory

1.
School of Modern Posts, Chongqing University of Posts and Telecommunications, Chongqing 400065, China
2.
Chongqing Municipal Education Commission Digital Economy Innovation and Industrial Development Research Team, Chongqing 400065, China
3.
School of Economics and Management, Chongqing University of Posts and Telecommunications, Chongqing 400065, China
4.
School of Business, Sichuan Normal University, Chengdu 610101, China

Academic Editor: Yang Kuang

Received: 06 April 2023 Revised: 03 May 2023 Accepted: 09 May 2023 Published: 26 May 2023

The objective of this paper is to present an extended approach to address the stochastic multi-attribute decision-making problem. The novelty of this study is to consider the regret behavior of decision makers under a Pythagorean hesitant fuzzy environment. First, the group satisfaction degree of decision-making matrices is used to consider the different preferences of decision-makers. Second, the nonlinear programming model under different statues is provided to compute the weights of attributes. Then, based on the regret theory, a regret value matrix and a rejoice value matrix are constructed. Furthermore, the feasibility and superiority of the developed approach is proven by an illustrative example of selecting an air fighter. Eventually, a comparative analysis with other methods shows the advantages of the proposed methods.
- Pythagorean hesitant fuzzy set,
- regret theory,
- stochastic multiple-attribute decision making
Citation: Nian Zhang, Xue Yuan, Jin Liu, Guiwu Wei. Stochastic multiple attribute decision making with Pythagorean hesitant fuzzy set based on regret theory[J]. Mathematical Biosciences and Engineering, 2023, 20(7): 12562-12578. doi: 10.3934/mbe.2023559

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Abstract

The objective of this paper is to present an extended approach to address the stochastic multi-attribute decision-making problem. The novelty of this study is to consider the regret behavior of decision makers under a Pythagorean hesitant fuzzy environment. First, the group satisfaction degree of decision-making matrices is used to consider the different preferences of decision-makers. Second, the nonlinear programming model under different statues is provided to compute the weights of attributes. Then, based on the regret theory, a regret value matrix and a rejoice value matrix are constructed. Furthermore, the feasibility and superiority of the developed approach is proven by an illustrative example of selecting an air fighter. Eventually, a comparative analysis with other methods shows the advantages of the proposed methods.

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