| 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.