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

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.

Generalized Countable Fuzzy Semi-Compactness in L-Topological Spaces

“…[3] proposed a new definition of fuzzy compactness in LTS. [4] studies the countably compactness of L-set. [5]gives the Generalized semi-open Lsets and generalized semi-closed L-sets.…”