Z-open sets in a Neutrosophic Topological Spaces

N Moogambigai Et Al

doi:10.17762/turcomat.v12i1s.1850

Abstract

In this paper, introduce a neutrosophicopen sets in neutrosophic topological spaces. Also, discuss about near open sets, their properties and examplesZ-open set which is a union of neutrosophic P-open sets and neutrosophic δof a neutrosophicS Z-open set. Moreover, we investigate some of their basic properties and examples of neutrosophic Z-interior and Z-closure in a neutrosophic topological spaces.

Highlights

1 Introduction In mathematics, concept of fuzzy set between the intervals was first introduced by Zadeh [16] in discipline of logic and set theory
Coker [5] created intuitionistic fuzzy set in a topology entitled as intuitionistic fuzzy topological spaces
We develop the concept of neutrosophic Z-open sets in a neutrosophic topological spaces and specialized some of their basic properties with examples

Summary

Introduction

Concept of fuzzy set between the intervals was first introduced by Zadeh [16] in discipline of logic and set theory. Vadivel et al [14] introduced e-open sets in a neutrosophic topological space. (X,τN) is called a neutrosophic topological space (briefly, Nts) in X. A Ns C is called a neutrosophic closed sets (briefly, Ncs) iff its complement Cc is Nos. Definition 2.4 [8] Let (X,τN) be Nts on X and L be an Ns on X, the neutrosophic interior of L (briefly, Nint(L)) and the neutrosophic closure of L (briefly, Ncl(L)) are defined as. NPcs, NSos, NScs, Nαos, Nαcs, Nβos & Nβcs) of X is denoted by NPOS(X) 2. δ-semi open set (briefly, NδSos) if L ⊆ Ncl(Nδint(L)). Definition 2.8 [14] A set K is said to be a neutrosophic (i) e-open set (briefly, Neos) if K ⊆ Ncl(Nδint(K)) ∪ Nint(Nδcl(K)).

Neutrosophic Z-open sets in Nts

Conclusion