Fuzzy differential inclusion is the extension of differential inclusion to fuzzy sets introduced by Lotfi A.
α
Suppose
is a fuzzy valued continuous function on Euclidean space.
Then it is the collection of all normal, upper semi-continuous, convex, compactly supported fuzzy subsets of
The second order differential is
is trapezoidal fuzzy number
is a trianglular fuzzy number (-1,0,1).
Fuzzy differential inclusion (FDI) has applications in