The Concept of Normality for Fuzzy Random Variables

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The Annals of Probability

Abstract

In this paper we define the concept of a normal fuzzy random variable and we prove the following representation theorem: Every normal fuzzy random variable equals the sum of its expected value and a mean zero random vector.

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Publisher's, offprint version

Keywords

Mathematical vectors, Random variables, Fuzzy sets, Expected values, Mathematical functions, Law of large numbers, Embeddings, College mathematics, Mathematical theorems

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This work may be protected by copyright unless otherwise stated.

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Article