The concept of a fuzzy set, which was introduced by Zadeh inmotivated someauthors to generalizing many concepts of general topology to fuzzy topological space. Inthis paper, we investigate some of these results to find more appropriate definition of afuzzy topology on a space, which gives generalization of basic concepts of topology suchas open sets, neighborhoods, continuity and compactness.

The concept of a fuzzy set, which was introduced by Zadeh inmotivated someauthors to generalizing many concepts of general topology to fuzzy topological space. Inthis paper, we investigate some of these results to find more appropriate definition of afuzzy topology on a space, which gives generalization of basic concepts of topology suchas open sets, neighborhoods, continuity and compactness.

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