Several Kinds Of Separability Of Fuzzy Topological Space

In this paper, we introduce some new separation axioms in fuzzy topological spaces and L-fuzzy topological spaces, and then investigate their basic properties.In fuzzy topological spaces, we introduce the concepts of fuzzy strongly generalized semi-closed sets, fuzzy g*s-continuous maps, fuzzy g*s-irresolute maps and fuzzy g*s-homeomorphism maps and so on, and then discuss their basic properties and characteristic properties in detail. Based on this, we introduce and investigate new kinds of separation axioms, namely, fuzzy semi-Tp spaces, fuzzy strongly semi-T1/2spaces, fuzzy semi-Ta spaces and fuzzy semi-Tq s-paces and then discuss the equivalence of some maps in these separation spaces.In L-fuzzy topological spaces, we use L-fuzzy point standing for molecule and at the same time use P(x)=1or Q(x)≡1standing for P∨Q=1, and introduce two kinds of strong separation axioms. Then we give out some of their properties.