Overview on the development of fuzzy random variables

This paper presents a backward analysis on the interpretation, modelling and impact of the concept of fuzzy random variable. After some preliminaries, the situations modelled by means of fuzzy random variables as well as the main approaches to model them are explained. We also summarize briefly some...

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Bibliographic Details
Published in:Fuzzy sets and systems 2006-10, Vol.157 (19), p.2546-2557
Main Authors: Gil, María Ángeles, López-Díaz, Miguel, Ralescu, Dan A.
Format: Article
Language:English
Subjects:
[formula omitted]-metric
Fuzzy arithmetic
Fuzzy random variables
Fuzzy values
Hausdorff metric
Random sets
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Summary:This paper presents a backward analysis on the interpretation, modelling and impact of the concept of fuzzy random variable. After some preliminaries, the situations modelled by means of fuzzy random variables as well as the main approaches to model them are explained. We also summarize briefly some of the probabilistic studies concerning this concept as well as some statistical applications.
ISSN:0165-0114
1872-6801
DOI:10.1016/j.fss.2006.05.002