Convergence of complex uncertain sequences

Article type: Research Article

Authors: Chen, Xiumei^{a; b; *} | Ning, Yufu^{a; b} | Wang, Xiao^{a; b}

Affiliations: [a] School of Information Engineering, Shandong Youth University of Political Science, Jinan, China | [b] Key Laboratory of Information Security and Intelligent Control in Universities of Shandong, Jinan, China

Correspondence: [*] Corresponding author. Xiumei Chen, School of Information Engineering, Shandong Youth University of Political Science, Jinan 250103, China. Tel./Fax: +860531 58997385; E-mail: [email protected].

Abstract: Complex uncertain variables are measurable functions from an uncertainty space to the set of complex numbers and are used to model complex uncertain quantities. This paper introduces the convergence concepts of complex uncertain sequences: convergence almost surely (a.s.), convergence in measure, convergence in mean, convergence in distribution and convergence uniformly almost surely. In addition, relationships among them are discussed.

Keywords: Uncertainty theory, complex uncertain variable, convergence

DOI: 10.3233/IFS-152083

Journal: Journal of Intelligent & Fuzzy Systems, vol. 30, no. 6, pp. 3357-3366, 2016