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On Distribution Characteristics of a Fuzzy Random Variable

Jalal Chachi

Austrian Journal of Statistics · 2018

doi:10.17713/ajs.v47i2.581 (opens in a new tab)

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Abstract

In this paper, rst a new notion of fuzzy random variables is introduced. Then, usingclassical techniques in Probability Theory, some aspects and results associated to a randomvariable (including expectation, variance, covariance, correlation coecient, etc.) will beextended to this new environment. Furthermore, within this framework, we can use thetools of general Probability Theory to dene fuzzy cumulative distribution function of afuzzy random variable.

Abstract licence: CC BY

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