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Kaleva, Osmo

Fuzzy differential equations. (English) Zbl 0646.34019

Fuzzy Sets Syst. 24, 301-317 (1987).
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.
Reviewer: B.Rodriguez-Salinas

Cited in 12 Reviews
Cited in 541 Documents

MSC:

34A99 General theory for ordinary differential equations

Keywords:

fuzzy-set-valued mappings
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\textit{O. Kaleva}, Fuzzy Sets Syst. 24, 301--317 (1987; Zbl 0646.34019)
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