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publication name On Nash-Coalitive Fuzzy Continuous Differential Games
Authors M. H. Kassem; N. A. El-kholy; M. H. Eid; M. M. Ibrahim
year 2022
keywords fuzzy control, fuzzy differential games, fuzzy numbers, Nash-coalitive differential games.
journal International Journal of Emerging Technology and Advanced Engineering
volume Vol 12, No 3, 2022
issue 2250-2459
pages Not Available
publisher Not Available
Local/International Local
Paper Link Not Available
Full paper download
Supplementary materials Not Available
Abstract

This paper concentrates on providing a simple and effective technique to solve the Nash-coalitive fuzzy continuous differential games. These games are featured by having fuzzy coefficients, fuzzy controls, and fuzzy state functions. The proposed technique utilizes the α-cut set concept of fuzzy numbers to transform the problem under study into a corresponding interval problem. The latter one is sliced into two problems, lower problem and upper problem, to obtain the optimal solution for the Nash-coalitive fuzzy continuous differential games problem in a range form. The sufficient and necessary conditions for this problem are derived. A numerical example is provided to clarify the presented concepts. This paper concentrates on providing a simple and effective technique to solve the Nash-coalitive fuzzy continuous differential games. These games are featured by having fuzzy coefficients, fuzzy controls, and fuzzy state functions. The proposed technique utilizes the α-cut set concept of fuzzy numbers to transform the problem under study into a corresponding interval problem. The latter one is sliced into two problems, lower problem and upper problem, to obtain the optimal solution for the Nash-coalitive fuzzy continuous differential games problem in a range form. The sufficient and necessary conditions for this problem are derived. A numerical example is provided to clarify the presented concepts.

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