Fuzzy differential inclusion


Fuzzy differential inclusion is the extension of differential inclusion to fuzzy sets introduced by Lotfi A. Zadeh.
with
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.

Second order differential

The second order differential is
where, is trapezoidal fuzzy number, and is a trianglular fuzzy number.

Applications

Fuzzy differential inclusion has applications in