N-Fuzzy BI-Topological Space and Separation Axioms

Abstract

In this article, we introduced N-fuzzy bi-topological space by using the conceptsof fuzzy bi-topological space. We further define some basic properties of N-fuzzy bi-topologicalspaces, secondly we study the concepts of natural separation axioms of bi-topological in N-fuzzybi-topological space which is pair wise separation Axioms mixed topology with the help of twoN-fuzzy topologies of a N-fuzzy bi-topological space. Relation between such pairwise separationaxioms and natural fuzzy separation axioms of the mixed fuzzy topological space are investigated. 

Keywords

• n-fuzzy set
• n-fuzzy bi-topological space
• natural separation axioms
• natural fuzzy separation axioms