Degree of continuity for mappings of (L, M)-fuzzy topological spaces

Article type: Research Article

Authors: Liang, Cheng-Yu | Shi, Fu-Gui

Affiliations: School of Mathematics and Statistics, Beijing Institute of Technology, Beijing, P.R. China

Note: [] Corresponding author. Cheng-Yu Liang, School of Mathematics and Statistics, Beijing Institute of Technology, Beijing 100081, P.R. China. E-mails: [email protected] (C.-Y. Liang), [email protected] (F.-G. Shi).

Abstract: In this paper, the degrees to which a mapping is continuous, open or closed are introduced in (L, M)-fuzzy topological spaces by using implication operation and some characterizations of them are presented. Also their relationships with the degrees of compactness, connectedness, T1 and T2 axioms in (L, M)-fuzzy topological spaces are discussed.

Keywords: (L, M)-fuzzy topological space, continuous mapping, open mapping, closed mapping, homeomorphism

DOI: 10.3233/IFS-141238

Journal: Journal of Intelligent & Fuzzy Systems, vol. 27, no. 5, pp. 2665-2677, 2014