Certain Properties on Fuzzy Regular R_0 Topological Spaces in the Sense of Quasi-coincidence

Abstract

    In this paper, we introduce two notions of  property in fuzzy topological spaces by using quasi-coincidence sense and we show relations among ours and other such notions. Then, we establish that all these notions satisfy good extension property. Also hereditary, productive and projective properties are satisfied by these notions. We observe 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.