Some remarks on neutro-fine topology

The neutro-fine topological space is a space that contains a combination of neutrosophic and fine sets. In this study, the various types of open sets such as generalized open and semi-open sets are defined in such space. The concept of interior and closure on semi-open sets are defined and some of t...

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Autores principales:	Veerappan Chinnadurai, Mayandi Sindhu
Formato:	article
Lenguaje:	EN
Publicado:	Ayandegan Institute of Higher Education, 2020
Materias:	neutro-fine-generalized open sets neutro-fine-semi open sets neutro-fine-semi interior neutro-fine-semi closure neutro-fine-generalized semi open sets neutro-fine minimal open set neutro-fine maximal open sets Mathematics QA1-939
Acceso en línea:	https://doaj.org/article/bc3988a5a9bc4e8085e34510d8e033f1
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spelling	oai:doaj.org-article:bc3988a5a9bc4e8085e34510d8e033f12021-11-07T10:03:36ZSome remarks on neutro-fine topology2783-14422717-345310.22105/jfea.2020.251783.1020https://doaj.org/article/bc3988a5a9bc4e8085e34510d8e033f12020-09-01T00:00:00Zhttp://www.journal-fea.com/article_117958_891d99feed4888c0ff96ecc7b627996e.pdfhttps://doaj.org/toc/2783-1442https://doaj.org/toc/2717-3453The neutro-fine topological space is a space that contains a combination of neutrosophic and fine sets. In this study, the various types of open sets such as generalized open and semi-open sets are defined in such space. The concept of interior and closure on semi-open sets are defined and some of their basic properties are stated. These definitions extend the concept to generalized semi-open sets. Moreover, the minimal and maximal open sets are defined and some of their properties are studied in this space. As well as, discussed the complement of all these sets as its closed sets. The basic properties of the union and intersection of these open sets are stated in some theorems. Only a few sets satisfy this postulates, and others are disproved as shown in the counterexamples. The converse of some theorems is proved in probable examples.Veerappan ChinnaduraiMayandi SindhuAyandegan Institute of Higher Education,articleneutro-fine-generalized open setsneutro-fine-semi open setsneutro-fine-semi interiorneutro-fine-semi closureneutro-fine-generalized semi open setsneutro-fine minimal open setneutro-fine maximal open setsMathematicsQA1-939ENJournal of Fuzzy Extension and Applications, Vol 1, Iss 3, Pp 159-179 (2020)
institution	DOAJ
collection	DOAJ
language	EN
topic	neutro-fine-generalized open sets neutro-fine-semi open sets neutro-fine-semi interior neutro-fine-semi closure neutro-fine-generalized semi open sets neutro-fine minimal open set neutro-fine maximal open sets Mathematics QA1-939
spellingShingle	neutro-fine-generalized open sets neutro-fine-semi open sets neutro-fine-semi interior neutro-fine-semi closure neutro-fine-generalized semi open sets neutro-fine minimal open set neutro-fine maximal open sets Mathematics QA1-939 Veerappan Chinnadurai Mayandi Sindhu Some remarks on neutro-fine topology
description	The neutro-fine topological space is a space that contains a combination of neutrosophic and fine sets. In this study, the various types of open sets such as generalized open and semi-open sets are defined in such space. The concept of interior and closure on semi-open sets are defined and some of their basic properties are stated. These definitions extend the concept to generalized semi-open sets. Moreover, the minimal and maximal open sets are defined and some of their properties are studied in this space. As well as, discussed the complement of all these sets as its closed sets. The basic properties of the union and intersection of these open sets are stated in some theorems. Only a few sets satisfy this postulates, and others are disproved as shown in the counterexamples. The converse of some theorems is proved in probable examples.
format	article
author	Veerappan Chinnadurai Mayandi Sindhu
author_facet	Veerappan Chinnadurai Mayandi Sindhu
author_sort	Veerappan Chinnadurai
title	Some remarks on neutro-fine topology
title_short	Some remarks on neutro-fine topology
title_full	Some remarks on neutro-fine topology
title_fullStr	Some remarks on neutro-fine topology
title_full_unstemmed	Some remarks on neutro-fine topology
title_sort	some remarks on neutro-fine topology
publisher	Ayandegan Institute of Higher Education,
publishDate	2020
url	https://doaj.org/article/bc3988a5a9bc4e8085e34510d8e033f1
work_keys_str_mv	AT veerappanchinnadurai someremarksonneutrofinetopology AT mayandisindhu someremarksonneutrofinetopology
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Some remarks on neutro-fine topology

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