## Fuzzy differential equations.(English)Zbl 0646.34019

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.

### MSC:

 34A99 General theory for ordinary differential equations

### Keywords:

fuzzy-set-valued mappings
Full Text:

### References:

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