Single value simulation of fuzzy variable
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.
scientific article; zbMATH DE number 4030941