On continuity theorem for characteristic function of fuzzy variable

Issue title: MASOCR Workshop

Article type: Research Article

Authors: Yang, Lixing | Liu, Baoding

Affiliations: Department of Mathematical Sciences, Tsinghua University, Beijing, 100084, China

Note: [] Corresponding author. E-mail: [email protected]

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.

Keywords: Fuzzy variable, credibility distribution, characteristic function

Journal: Journal of Intelligent & Fuzzy Systems, vol. 17, no. 3, pp. 325-332, 2006