an:04030941
Zbl 0633.65144
Chanas, Stefan; Nowakowski, Marek
Single value simulation of fuzzy variable
EN
Fuzzy Sets Syst. 25, No. 1, 43-57 (1988).
00153750
1988
j
65C99 65C20 60D05 03E72 54D05
possibility measure; probability measure; fuzzy set; fuzzy variable; possibility distribution; fuzzy-numerical simulation; random sets
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.
Wang Peizhuang