The concept of normality for fuzzy random variables. (English) Zbl 0583.60011

The authors first give some preliminaries on fuzzy random variables and then describe an embedding theorem for the space of fuzzy sets with compact convex level that satisfies a certain Lipschitz condition. Finally they define the concept of normal fuzzy random variables in \(R^ p\) and represent such a variable as the sum of a constant fuzzy set and a random vector in \(R^ p\).
Reviewer: L.Pardo


60D05 Geometric probability and stochastic geometry
94D05 Fuzzy sets and logic (in connection with information, communication, or circuits theory)
03E72 Theory of fuzzy sets, etc.
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