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
RL
-fuzzy compactness degree and the Lindelöf property degree of an
L
-subset in
RL
-fuzzy topology are introduced and characterized. Since
L
-fuzzy topology in the sense of Kubiak and Šostak is a special case of
RL
-fuzzy topology, the degrees of
RL
-fuzzy compactness and the Lindelöf property are generalizations of the corresponding degrees in
L
-fuzzy topology.