On Stackelberg Leader with Min-Max Followers to Solve Fuzzy Continuous Static Games. (11th April 2022)

• Record Type: Journal Article
• Authors: Khalifa, Hamiden Abd El Wahed; Pamucar, Dragan; Alburaikan, Alhanouf; Afifi, W. A.
• Other Names: Liu Jia-Bao Academic Editor.
• Is Part Of: Journal of function spaces. Volume 2022(2022)
• Publication Date: 2022-04-11
• Subjects: Function spaces -- Periodicals; 515.7305
• DOI: 10.1155/2022/4329957
• Languages: English
• ISSNs: 2314-8896

Abstract

Abstract : This study attempts to introduce continuous static games with fuzzy parameters. Piecewise quadratic fuzzy numbers (PQFNs) are used to represent the fuzzy parameters. The close interval approximation of the PQFNs, which is one of the most accurate approximations, is applied. To overcome the problem, Stackelberg leaders with min-max follower's solutions are examined. The given solution is accompanied by a parametric analysis. An algorithm for identifying the first-kind stability set is presented. Finally, to demonstrate and clarify the method's steps, a numerical example is given