A New Approach for Solving Fuzzy Cooperative Continuous Static Games

Authors

  • Seyyed Ahmad Edalatpanah Applied Mathematics Department, Ayandegan Institute of Higher Education, Tonekabon, Iran
  • Hamiden Abd El- Wahed Khalifa Mathematics Department, College of Science and Arts, Al- Badaya, Qassim University, Saudi Arabia
  • Robert S. Keyser Southern Polytechnic College of Engineering and Engineering Technology, Kennesaw State University, Marietta, Georgia 30060, USA

Keywords:

Cooperative continuous static games, Close interval approximation, Piecewise quadratic fuzzy numbers, α-efficient solution, Weighted Tchebycheff method, Optimal compromise solution, Stability

Abstract

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.

Downloads

Published

2024-01-15

How to Cite

Edalatpanah, S. A., Abd El- Wahed Khalifa , H. ., & Keyser, R. S. . (2024). A New Approach for Solving Fuzzy Cooperative Continuous Static Games. Soft Computing Fusion With Applications, 1(1), 19–26. Retrieved from https://journal-scfa.com/journal/article/view/19

Issue

Vol. 1 No. 1 (2024): Soft Computing Fusion with Applications

Section

Articles

Categories