Tools for fuzzy random variables: Embeddings and measurabilities

Authors:
Miguel López-Díaz;Dan A. Ralescu
Affiliations:
Departamento de Estadística e I.O. y D.M., Universidad de Oviedo, E-33071 Oviedo, Spain;Department of Mathematical Sciences, University of Cincinnati, OH 45221-0025, USA
Venue:
Computational Statistics & Data Analysis
Year:
2006

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Abstract

The concept of fuzzy random variable has been shown to be as a valuable model for handling fuzzy data in statistical problems. The theory of fuzzy-valued random elements provides a suitable formalization for the management of fuzzy data in the probabilistic setting. A concise overview of fuzzy random variables, focussed on the crucial aspects for data analysis, is presented.