Neutrosophic e-Continuous Maps and Neutrosophic e-Irresolute Maps

A Vadivel Et Al

doi:10.17762/turcomat.v12i1s.1858

Abstract

Aim of this present paper is to introduce and investigate new kind of neutrosophic continuous function called neutrosophic econtinuous maps in neutrosophic topological spaces and also relate with their near continuous maps. Also, a new irresolute map called neutrosophic e-irresolute maps in neutrosophic topological spaces is introduced. Further, discussed about some properties and characterization of neutrosophic e-irresolute maps in neutrosophic topological spaces.

Highlights

1 Introduction The concept of fuzzy set was introduced by Lotfi Zadeh in 1965 [17], Chang depended the fuzzy set to introduce the concept of fuzzy topological space in 1968 [5]
After that the concept of fuzzy set was developed into the concept of intutionistic fuzzy set by Atanassov in 1983 [2, 3, 4], the intutionistic fuzzy set gives a degree of membership and a degree of non-membership functions
Cokor in 1997 [5] relied on intutionistic fuzzy set to introduced the concept of intutionistic fuzzy topological space

Summary

Introduction

The concept of fuzzy set (briefly, fs) was introduced by Lotfi Zadeh in 1965 [17], Chang depended the fuzzy set to introduce the concept of fuzzy topological space (briefly, fts) in 1968 [5]. A Nss C is called a neutrosophic closed sets (briefly, Nscs) iff its complement Cc is Nsos. L is said to be a neutrosophic regular open set (briefly, Nsros ) if L = Nsint(Nscl(L)). Let h : (X,τN) → (Y,σN) be an identity mapping, h is NseCts but not NsδSCts, the set h−1(Y1) = X4 is a Nseos but not NsδSos. Example 3.4 Let X = {a,b} = Y and define. Let h : (X,τN) → (Y,σN) be an identity mapping, h is Nse∗Cts but not NseCts, the set h−1(Y1) = X2 is a Nse∗os but not Nseos. H is NseCts. Definition 3.2 A Nst (X,τN) is said to be an neutrosophic eU (in short NseU )-space, if every Nseos in X is a Nsos in X.

But μa μb μc σa σb σc νa νb νc

Conclusions