Fuzzy differential equations (Q5903659)

A differential and integral calculus for fuzzy-set-valued mappings was developed in recent papers of Dubois and Prade, and Puri and Ralescu. The purpose of this paper is to study differential equations for fuzzy-set- valued mappings of a real variable whose values are normal, convex, upper semi-continuous and compactly supported fuzzy sets in \(R^ n\). The differentiability and integrability properties of such functions are studied and an existence and uniqueness theorem for a solution to a fuzzy differential equation is given.