On neutrosophic topology

Purpose - Recently, Smarandache generalized the Atanassov's intuitionistic fuzzy sets (IFSs) and other kinds of sets to neutrosophic sets (NSs). Also, this author defined the notion of neutrosophic topology on the non-standard interval. One can expect some relation between the intuitionistic fu...

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Detalhes bibliográficos
Autor: Gallego Lupiáñez, Francisco
Tipo de documento: artigo
Data de publicação:2008
País:España
Recursos:Universidad Complutense de Madrid (UCM)
Repositório:Docta Complutense
Idioma:inglês
OAI Identifier:oai:docta.ucm.es:20.500.14352/49939
Acesso em linha:https://hdl.handle.net/20.500.14352/49939
Access Level:Acceso aberto
Palavra-chave:519.7-79
510.22
515.1
Cybernetics
Set theory
Topology
Teoría de conjuntos
Cibernética matemática
Topología
1201.02 Teoría Axiomática de Conjuntos
1207.03 Cibernética
1210 Topología
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oai_identifier_str oai:docta.ucm.es:20.500.14352/49939
network_acronym_str ES
network_name_str España
repository_id_str
spelling On neutrosophic topologyGallego Lupiáñez, Francisco519.7-79510.22515.1CyberneticsSet theoryTopologyTeoría de conjuntosCibernética matemáticaTopología1201.02 Teoría Axiomática de Conjuntos1207.03 Cibernética1210 TopologíaPurpose - Recently, Smarandache generalized the Atanassov's intuitionistic fuzzy sets (IFSs) and other kinds of sets to neutrosophic sets (NSs). Also, this author defined the notion of neutrosophic topology on the non-standard interval. One can expect some relation between the intuitionistic fuzzy topology OFT) on an IFS and the neutrosophic topology. This paper aims to show that this is false. Design/methodology/approach - The possible relation between the IFT and the neutrosophic topology is studied. Findings - Relations on neutrosophic topology and IFT are found. Research limitations/implications - Clearly, this paper is confined to IFSs and NSs. Practical implications - The main applications are in the mathematical field. Originality/value - The paper shows original results on fuzzy sets and topology.Emerald Group Publishing LimitedUniversidad Complutense de Madrid20082008-01-0120082008-01-01journal articlehttp://purl.org/coar/resource_type/c_6501info:eu-repo/semantics/articleapplication/pdfhttps://hdl.handle.net/20.500.14352/49939reponame:Docta Complutenseinstname:Universidad Complutense de Madrid (UCM)Inglésengopen accesshttp://purl.org/coar/access_right/c_abf2info:eu-repo/semantics/openAccessoai:docta.ucm.es:20.500.14352/499392026-06-02T12:44:21Z
dc.title.none.fl_str_mv On neutrosophic topology
title On neutrosophic topology
spellingShingle On neutrosophic topology
Gallego Lupiáñez, Francisco
519.7-79
510.22
515.1
Cybernetics
Set theory
Topology
Teoría de conjuntos
Cibernética matemática
Topología
1201.02 Teoría Axiomática de Conjuntos
1207.03 Cibernética
1210 Topología
title_short On neutrosophic topology
title_full On neutrosophic topology
title_fullStr On neutrosophic topology
title_full_unstemmed On neutrosophic topology
title_sort On neutrosophic topology
dc.creator.none.fl_str_mv Gallego Lupiáñez, Francisco
author Gallego Lupiáñez, Francisco
author_facet Gallego Lupiáñez, Francisco
author_role author
dc.contributor.none.fl_str_mv Universidad Complutense de Madrid
dc.subject.none.fl_str_mv 519.7-79
510.22
515.1
Cybernetics
Set theory
Topology
Teoría de conjuntos
Cibernética matemática
Topología
1201.02 Teoría Axiomática de Conjuntos
1207.03 Cibernética
1210 Topología
topic 519.7-79
510.22
515.1
Cybernetics
Set theory
Topology
Teoría de conjuntos
Cibernética matemática
Topología
1201.02 Teoría Axiomática de Conjuntos
1207.03 Cibernética
1210 Topología
description Purpose - Recently, Smarandache generalized the Atanassov's intuitionistic fuzzy sets (IFSs) and other kinds of sets to neutrosophic sets (NSs). Also, this author defined the notion of neutrosophic topology on the non-standard interval. One can expect some relation between the intuitionistic fuzzy topology OFT) on an IFS and the neutrosophic topology. This paper aims to show that this is false. Design/methodology/approach - The possible relation between the IFT and the neutrosophic topology is studied. Findings - Relations on neutrosophic topology and IFT are found. Research limitations/implications - Clearly, this paper is confined to IFSs and NSs. Practical implications - The main applications are in the mathematical field. Originality/value - The paper shows original results on fuzzy sets and topology.
publishDate 2008
dc.date.none.fl_str_mv 2008
2008-01-01
2008
2008-01-01
dc.type.none.fl_str_mv journal article
http://purl.org/coar/resource_type/c_6501
dc.type.openaire.fl_str_mv info:eu-repo/semantics/article
format article
dc.identifier.none.fl_str_mv https://hdl.handle.net/20.500.14352/49939
url https://hdl.handle.net/20.500.14352/49939
dc.language.none.fl_str_mv Inglés
eng
language_invalid_str_mv Inglés
language eng
dc.rights.none.fl_str_mv open access
http://purl.org/coar/access_right/c_abf2
dc.rights.openaire.fl_str_mv info:eu-repo/semantics/openAccess
rights_invalid_str_mv open access
http://purl.org/coar/access_right/c_abf2
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv Emerald Group Publishing Limited
publisher.none.fl_str_mv Emerald Group Publishing Limited
dc.source.none.fl_str_mv reponame:Docta Complutense
instname:Universidad Complutense de Madrid (UCM)
instname_str Universidad Complutense de Madrid (UCM)
reponame_str Docta Complutense
collection Docta Complutense
repository.name.fl_str_mv
repository.mail.fl_str_mv
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score 15,300724

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