| You are in:Home/Publications/On Nash-Coalitive Fuzzy Continuous Differential Games | |
Ass. Lect. Mohamed Mahmoud Mohamed Ibrahim :: Publications: |
|
| Title: | On Nash-Coalitive Fuzzy Continuous Differential Games |
| Authors: | Mohamed Abd El-Hady Kassem; Nabil A. El-kholy; M. H. Eid; Mohamed 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: | 12 |
| Issue: | 3 |
| Pages: | 24-32 |
| Publisher: | Not Available |
| Local/International: | International |
| Paper Link: | |
| Full paper | Mohamed Mahmoud Mohamed Ibrahim_IJETAE_0322_04-1.pdf |
| Supplementary materials | Mohamed Mahmoud Mohamed Ibrahim_IJETAE_0322_04-1.pdf |
| 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. |
