On the formalization of fuzzy random variables

In this paper we develop a discussion on the mathematical formalization of the concept of fuzzy random variable. This discussion is mainly focused on finding an adequate notion of measurability to be coherent with the notions on the space these random elements take values.

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Bibliographic Details
Published in:Information sciences 2001-03, Vol.133 (1), p.3-6
Main Authors: Colubi, Ana, Santos Domı́nguez-Menchero, J, López-Dı́az, Miguel, Ralescu, Dan A
Format: Article
Language:English
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Summary:In this paper we develop a discussion on the mathematical formalization of the concept of fuzzy random variable. This discussion is mainly focused on finding an adequate notion of measurability to be coherent with the notions on the space these random elements take values.
ISSN:0020-0255
1872-6291
DOI:10.1016/S0020-0255(01)00073-1