Mappings on fuzzy T0 topological spaces in quasi-coincidence sense

Abstract

In this paper, we introduce two notions of T0 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 open and fuzzy continuous mappings. Finally, we discuss initial and final fuzzy topological spaces on our concepts.

https://doi.org/10.28919/jmcs/3425