REA Press Null REA Press3042-01803042-0180 REA Press https://doi.org/10.22105/scfa.v1i1.19 Research Article Cooperative continuous static games, Close interval approximation, Piecewise quadratic fuzzy numbers, α-efficient solution, Weighted Tchebycheff method, Optimal compromise solution, Stability. A New Approach for Solving Fuzzy Cooperative Continuous Static GamesA New Approach for Solving Fuzzy Cooperative Continuous Static Games Edalatpanah Seyed Ahmad Applied Mathematics Department, Ayandegan Institute of Higher Education, Tonekabon, Iran. Khalifa Hamiden Abd El- Wahed Mathematics Department, College of Science and Arts, Al- Badaya, Qassim University, Saudi Arabia. Keyser Robert S. Southern Polytechnic College of Engineering and Engineering Technology, Kennesaw State University, Marietta, Georgia 30060, USA. 02 2024 05 02 2024 1 1 © 2024 REA Press 2024

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 A New Approach for Solving Fuzzy Cooperative Continuous Static Games

This study explores Cooperative Continuous Static Games (CCSGs) characterized by fuzzy cost functions that are piecewise quadratic. It introduces an effective approximation technique, specifically the close interval approximation for Piecewise Quadratic Fuzzy Numbers (PQFNs). The paper employs the weighted Tchebycheff method to derive an optimal compromise solution and establishes the corresponding stability set of the first kind. Additionally, a numerical example is provided to illustrate the effectiveness of the proposed method in computational terms.

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