Measurement of Countable Compactness and Lindelöf Property in RL -Fuzzy Topological Spaces

Abstract

Based on the concepts of pseudocomplement of $L$ -subsets and the implication operator where $L$ is a completely distributive lattice with order-reversing involution, the definition of countable $\text{RL}$ -fuzzy compactness degree and the Lindelöf property degree of an $L$ -subset in $\text{RL}$ -fuzzy topology are introduced and characterized. Since $L$ -fuzzy topology in the sense of Kubiak and Šostak is a special case of $\text{RL}$ -fuzzy topology, the degrees of $\text{RL}$ -fuzzy compactness and the Lindelöf property are generalizations of the corresponding degrees in $L$ -fuzzy topology.