Gurusamy Saravanakumar - Department of Mathematics M.Kumarasamy College of Engineering Karur, India
S. Tamilselvan - Mathematics Section, Faculty of Engineering and Technology, Annamalai University, Annamalainagar, India-۶۰۸۰۰۲.
A. Vadivel - Department of Mathematics, Government Arts College (Autonomous), Karur, India-۶۳۹۰۰۷.

In this paper, we introduce and study three notions of  property in fuzzy topological spaces using quasi-coincidence sense, and we relate to other such notions. Then, we show that all these notions satisfy good extension property. These concepts also satisfy hereditary, productive and projective properties. We note that all these concepts are preserved under one-one, onto, fuzzy regular open and fuzzy regular continuous mappings. Finally, we discuss initial and final fuzzy topological spaces on our concepts.

Quasi‐coincidence, regular fuzzy T_۰-type separations, fuzzy topological spaces, initial and final fuzzy topology