Degrees of countable compactness and the Lindelöf property of L-fuzzy sets

Article type: Research Article

Authors: Liang, Chengyu

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

Note: [] Corresponding author. Chengyu Liang, School of Mathematics and Statistics, Beijing Institute of Technology, Beijing 100081, P.R. China. E-mail: [email protected]

Abstract: In this paper, we introduce the notions of the degrees of countable compactness and the Lindelöf property in L-fuzzy topological spaces. Most of elementary results related to countable compactness and the Lindelöf property in general topology can be extended to L-fuzzy topological spaces. Moreover, many characterizations of the degrees of countable compactness and the Lindelöf property are presented.

Keywords: L-fuzzy topology, compactness, countable compactness, the Lindelöf property

DOI: 10.3233/IFS-141393

Journal: Journal of Intelligent & Fuzzy Systems, vol. 28, no. 3, pp. 1099-1107, 2015