Abstract

In this paper, the concept of countably strong fuzzy compact subsets in L-fuzzy topological spaces has been presented by taking strong fuzzy compactness which is due to Lowen (1978) as background. The basic properties of countably strong fuzzy compact subsets have been discussed. Some characterizations of countably strong fuzzy compact subsets have been given by taking the stratum structures of L-fuzzy sets as the point of departure. Also it is pointed out that countably strong fuzzy compactness is an “ L-good extension” of usual countably compactness.

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