A new integral with respect to a generalized fuzzy number measure

Article type: Research Article

Authors: Zhou, Cai-Li^{a; *} | Shi, Fui-Gui^b

Affiliations: [a] College of Mathematics and Information Science, Hebei University, Baoding, P.R. China | [b] School of Mathematics and Statistics, Beijing Institute of Technology, Beijing, P.R. China

Correspondence: [*] Corresponding author. Cai-Li Zhou, College of Mathematics and Information Science, Hebei University, Baoding 071002, China. E-mail: [email protected].

Abstract: In this paper, the integral of real valued functions with respect to a generalized fuzzy number measure is introduced and some of its properties are investigated. Finally, the dominated convergence theorem for this kind of integral is obtained.

Keywords: Set valued measure, generalized fuzzy number measure, integral, Banach space

DOI: 10.3233/IFS-151650

Journal: Journal of Intelligent & Fuzzy Systems, vol. 29, no. 5, pp. 1729-1738, 2015