Approximate solution of fuzzy differential equations under generalized differentiability

In this paper, an approach for approximating the fuzzy linear system of differential equations under generalized differentiability is presented, because under this interpretation, we may obtain solutions which have a decreasing length of their support. In several applications the behavior of these solutions better reflects the behavior of some real-world systems. Also, we investigate a necessary and sufficient conditions for the solution vector to be a fuzzy vector.