In this paper we first introduce a new type of fuzzy open-like set, viz., fuzzy pre-γ-open set, the collection of which is strictly larger than that of fuzzy open set. Afterwards, two new types of fuzzy continuous-like functions, viz., fuzzy pre- γ -continuous and fuzzy almost pre- γ -continuous functions are introduced and studied. It is shown that fuzzy almost pre- γ -continuous function is fuzzy pre- γ -continuous and the converse is true on-ly in fuzzy pre- γ -regular space.