On the convergence of fuzzy variables

Article type: Research Article

Authors: You, Cuilian^{; *} | Zhang, Ruili | Su, Ke

Affiliations: College of Mathematics and Information Science, Hebei University, Baoding, China

Correspondence: [*] Corresponding author. Cuilian You, College of Mathematics and Information Science, Hebei University, Baoding 071002, China. Tel.: +8615933955927; Fax: +8603123168912; E-mail: [email protected].

Abstract: Fuzzy variable is a function from a credibility space to the set of real numbers. The convergence of fuzzy variables is important component of credibility theory, which can be applied into real problems in engineering and mathematical finance. Inspired by these, we will discuss some properties of convergence for fuzzy variables. At the same time, the conditions of convergence almost surely, convergence in credibility and convergence in mean for fuzzy variables will be given.

Keywords: Fuzzy variable, credibility measure, credibility theory, convergence theorem

DOI: 10.3233/JIFS-18986

Journal: Journal of Intelligent & Fuzzy Systems, vol. 36, no. 2, pp. 1663-1670, 2019