Single value simulation of fuzzy variable
type: Item
instance of: scholarly article
title: Single value simulation of fuzzy variable
zbMATH Open document ID: 0633.65144
DOI: 10.1016/0165-0114(88)90098-X
author: Marek Nowakowski
author: Stefan Chanas
published in: Fuzzy Sets and Systems
publication date: 1988-01-01T00:00:00Z
review text: 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.
Mathematics Subject Classification ID: 65C99
Mathematics Subject Classification ID: 65C20
Mathematics Subject Classification ID: 60D05
Mathematics Subject Classification ID: 03E72
Mathematics Subject Classification ID: 54D05
zbMATH DE Number: 4030941
zbMATH Keywords: possibility measure
zbMATH Keywords: probability measure
zbMATH Keywords: fuzzy set
zbMATH Keywords: fuzzy variable
zbMATH Keywords: possibility distribution
zbMATH Keywords: fuzzy-numerical simulation
zbMATH Keywords: random sets
MaRDI profile type: Publication
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full work available at URL: 0165-0114(88)90098-x
OpenAlex ID: W2087930215
description: scientific article; zbMATH DE number 4030941