On Linguistic Neutrosophic Semi-Irresolute Mappings and Semi-Homeomorphism

Abstract

The purpose of this article is to discuss linguistic neutrosophic semi-irresolute mapping and linguistic neutrosophic locally semi-irresolute mapping in linguistic neutrosophic topological spaces. It is examined how these mappings relate to other mappings, as well as some of their characteristics. Moreover, a brief introduction and analysis of the linguistic neutrosophic semi-homeomorphism and linguistic neutrosophic semi-c-homeomorphism are presented with appropriate examples.

Introduction

I. INTRODUCTION

There was a requirement for the indeterminacy membership to represent inconsistent linguistic information even though there exists an intuitionistic linguistic variable made up of degrees of truth and falsity membership. This idea originated from Fang and Ye[6], who introduced linguistic neutrosophic numbers. Smarandache[9] combined indeterminacy membership with existing membership in intuitionistic fuzzy sets[1] to develop the idea of neutrosophic sets. Gayathri and Helen[7] begot a new concept, by mingling linguistic neutrosophic numbers and topological spaces, named linguistic neutrosophic topological spaces.

Irresolute mappings play a momentous role in the study of topological spaces which was introduced by Crossley[5]. Researchers have examined irresolute mappings in considerable detail. The article provides an analysis of some properties and implications of linguistic neutrosophic semi-irresolute mappings in a novel linguistic neutrosophic topological space. Through linguistic neutrosophic semi-open mappings, a new mapping class referred to as linguistic neutrosophic semi-homomorphism and linguistic neutrosophic semi-c-homeomorphism are instigated.

II. PRELIMINARIES

Conclusion

The ideas of Semi irresolute functions, Locally semi irresolute functions and Semi homeomorphism are discussed under a novel environment called Linguistic Neutrosophic Topological Space. Also the properties are studied with suitable examples.

References

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Copyright

Copyright © 2022 N. Gayathri, Dr. M. Helen. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.