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

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