Abstract
In this paper the concepts of fuzzy isocompactness and some of its generalizations are studied. A fuzzy topological space X is said to be fuzzy isocompact if every fuzzy closed and fuzzy countably compact subspace is fuzzy compact. Every fuzzy compact space is fuzzy isocompact. Fuzzy weakly isocompactness and fuzzy nearly isocompactness are also studied as generalizations of fuzzy isocompactness. Some of the basic properties of these weaker forms of the fuzzy compactness are examined.
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