Staff Members - Benha University
On Nash-Coalitive Fuzzy Continuous Differential Games
International Journal of Emerging Technology and Advanced Engineering • 2022
Publication Information
Authors
M. H. Kassem; N. A. El-kholy; M. H. Eid; M. M. Ibrahim
Keywords
fuzzy control, fuzzy differential games, fuzzy
numbers, Nash-coalitive differential games.
Journal
International Journal of Emerging Technology and Advanced Engineering
Publisher
Not Available
Volume
Vol 12, No 3, 2022
Issue
2250-2459
Pages
Not Available
publication.type
Local
Paper Link
Not Available
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.
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.