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Single value simulation of fuzzy variable. (English) Zbl 0633.65144
Let V be a fuzzy variable with possibility distribution \(\mu_ G\). The authors suggest the following procedure for generating a single value of the fuzzy variable V:
Step 1. Generate a value t of the uniform variable T over (0,1]. Step 2. Generate a value x of the uniform variable U over the t-level set \(G_ t:=\{x| \mu_ G(x)\geq t\}\) of the fuzzy set G.
Viewing x as a single value of the fuzzy variable V, like this, an approach to the so-called fuzzy-numerical simulation is presented. We may be interested in this paper on the relation between random sets and fuzzy ones.
Reviewer: Wang Peizhuang

MSC:
65C99 Probabilistic methods, stochastic differential equations
65C20 Probabilistic models, generic numerical methods in probability and statistics
60D05 Geometric probability and stochastic geometry
03E72 Theory of fuzzy sets, etc.
54D05 Connected and locally connected spaces (general aspects)
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