On continuity theorem for characteristic function of fuzzy variable

Authors:
Lixing Yang;Baoding Liu
Affiliations:
Department of Mathematical Sciences, Tsinghua University, Beijing, China;Department of Mathematical Sciences, Tsinghua University, Beijing, China
Venue:
Journal of Intelligent & Fuzzy Systems: Applications in Engineering and Technology
Year:
2006

Citing 2
Cited 1

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Expected value of fuzzy variable and fuzzy expected value models

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A numerical method for solving uncertain differential equations

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Abstract

Credibility distribution function is presented on the basis of credibility measure to describe fuzzy variable. Characteristic function of a fuzzy variable is defined as the Lebesgue-Stieltjes integral with respect to its credibility distribution function. In this paper, some mathematical properties of credibility distribution function are investigated. As a main result, continuity theorems of characteristic functions for fuzzy variables sequence are obtained.