A New Methodology for Solving Piecewise Quadratic Fuzzy Cooperative Continuous Static Games

Xiao, He and Zhang, Xiaoju and Lin, Dong and Abd El- Wahed Khalifa, Hamiden and Edalatpanah, S. A. and Deng, Shangkun (2022) A New Methodology for Solving Piecewise Quadratic Fuzzy Cooperative Continuous Static Games. Advances in Mathematical Physics, 2022. pp. 1-8. ISSN 1687-9120

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Abstract

This paper deals with -players fuzzy cooperative continuous static games (FCCSGs). The cost function coefficients are characterized by piecewise quadratic fuzzy numbers. One of the best approximate intervals, namely, the inexact interval of the piecewise quadratic fuzzy number is used. Furthermore, we proposed a new methodology based on the weighted Tchebycheff method to solve CCSG with n-players. The advantages of the approach are the ability to enable the decision-maker to have satisfactory solution and applied for different real-world problems with n various types of fuzzy numbers. There is also a stability set of the first kind without differentiability for the optimal compromise solution that was found. In the future, the proposed methodology could be used in different types of real-world problems and multiple decision-makers. This proposed work can also be extended to hypersoft set, fuzzy hypersoft sets, intuitionistic hypersoft sets, bipolar hypersoft sets, and pythagorean hypersoft sets. At the end, a numerical example is given to demonstrate the computational efficiency of the proposed method.

Item Type: Article
Subjects: ScienceOpen Library > Mathematical Science
Depositing User: Managing Editor
Date Deposited: 21 Jan 2023 05:53
Last Modified: 29 Jul 2024 09:18
URI: http://scholar.researcherseuropeans.com/id/eprint/203

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