Abstract

Neutrosophic g$^{\#}$S closed sets in neutrosophic topological spaces

Highlights

  • Aim of this present paper is, we introduced and studied new type of generalized closed sets is called Neutrosophic g#S closed sets and Neutrosophic g#S open sets and followed that its properties and application are discussed

  • Let X be non-empty set and τN be the collection of Neutrosophic subsets of X satisfying the following properties: 1. 0N, 1N ∈τN

  • The following diagram shows the relationships of g# semi closed sets with some other Neutrosophic sets

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Summary

Introduction

Aim of this present paper is, we introduced and studied new type of generalized closed sets is called Neutrosophic g#S closed sets and Neutrosophic g#S open sets and followed that its properties and application are discussed. Neutrosophic semi closed set (N.SCS) if N.int(N.cl( A∗1))⊆A∗1, 3. Neutrosophic generalized semi closed set (N.GSCS) if N.Scl(A∗1)⊆H whenever A∗1⊆H and H is a N.OS, 7. A Neutrosophic set A∗1 of a Neutrosophic topological space (X,τN) is called Neutrosophic g# semi closed set (briefly N .g#SCS) if N .Scl (A∗1)⊆U whenever A∗1⊆ U and U is N .αg-open set in (X,τN).

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