On Nash-Coalitive Fuzzy Continuous Differential Games | Zendy

Mohamed Abd El-Hady Kassem | Zendy; Nabil A. El-kholy | Zendy; M. H. Eid | Zendy; Mohamed M. M. Ibrahim | Zendy

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On Nash-Coalitive Fuzzy Continuous Differential Games

Author(s) -

Mohamed Abd El-Hady Kassem,

Nabil A. El-kholy,

M. H. Eid,

Mohamed M. M. Ibrahim

Publication year - 2022

Publication title -

international journal of emerging technology and advanced engineering

Language(s) - English

Resource type - Journals

ISSN - 2250-2459

DOI - 10.46338/ijetae0322_04

Subject(s) - fuzzy number , mathematics , nash equilibrium , fuzzy logic , mathematical optimization , differential game , fuzzy set operations , differential (mechanical device) , defuzzification , fuzzy classification , fuzzy set , computer science , artificial intelligence , aerospace engineering , engineering

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. Keywords— fuzzy control, fuzzy differential games, fuzzy numbers, Nash-coalitive differential games

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