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. |
