N-Fuzzy BI-Topological Space and Separation Axioms

Year 2018, Issue: 25, 8 - 15, 06.10.2018

Faisal Khan Saleem Abdullah Muhammad Rahim Muhammad Shahzad

Abstract

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

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