The concept of a fuzzy set provides a natural framework for generalizing many of the concepts of general topology to what might be called fuzzy topological space. Several types of fuzzy continuous functions and its weaker and stronger forms occur in the literature. In this paper we introduce and study the notion of fuzzy slightly γ-continuity. Fuzzy slightly γ-continuity generalize fuzzy γ-continuity. Moreover, basic properties and preservation theorems of fuzzy slightly γ-continuous functions are obtained.
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