On some applications of fuzzy points

[EN] The notion of preopen sets play a very important role in General Topology and Fuzzy Topology. Preopen sets are also called nearly open and locally dense. The purpose of this paper is to give some applications of fuzzy points in fuzzy topological spaces. Moreover, in section 2 we offer some prop...

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Detalles Bibliográficos
Autores: Ganster, Maximilian, Georgiou, D.N., Jafari, S., Moshokoa, S.P.
Tipo de recurso: artículo
Fecha de publicación:2015
País:España
Institución:Universitat Politècnica de València (UPV)
Repositorio:RiuNet. Repositorio Institucional de la Universitat Politécnica de Valéncia
Idioma:inglés
OAI Identifier:oai:riunet.upv.es:10251/82630
Acceso en línea:https://riunet.upv.es/handle/10251/82630
Access Level:acceso abierto
Palabra clave:Fuzzy Topology
Fuzzy points
Fuzzy convergence
Fuzzy separation axioms
Fuzzy preopen sets
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repository_id_str
spelling On some applications of fuzzy pointsGanster, MaximilianGeorgiou, D.N.Jafari, S.Moshokoa, S.P.Fuzzy TopologyFuzzy pointsFuzzy convergenceFuzzy separation axiomsFuzzy preopen sets[EN] The notion of preopen sets play a very important role in General Topology and Fuzzy Topology. Preopen sets are also called nearly open and locally dense. The purpose of this paper is to give some applications of fuzzy points in fuzzy topological spaces. Moreover, in section 2 we offer some properties of fuzzy preclosed sets through the contribution of fuzzy points and we introduce new separation axioms in fuzzy topological spaces. Also using the notions of weak and strong fuzzy points, we investigate some properties related to the preclosure of such points, and also their impact on separation axioms. In section 3, using the notion of fuzzy points, we introduce and study the notions of fuzzy pre-upper limit, fuzzy pre-lower limit and fuzzy pre-limit. Finally in section 4, we introduce the fuzzy pre-continuous convergence on the set of fuzzy pre-continuous functions and give a characterization of the fuzzy pre-continuous convergence through the assistance of fuzzy pre-upper limit.S. P. Moshokoa has been supported by the South African National Research Foundation under grant number 2053847. Also, the authors thank the referee for making several suggestions which improved the quality of this paper.Universitat Politècnica de ValènciaNational Research Foundation, South AfricaRepositorio Institucional de la Universitat Politècnica de València Riunet20152015-10-01journal articlehttp://purl.org/coar/resource_type/c_6501VoRhttp://purl.org/coar/version/c_970fb48d4fbd8a85info:eu-repo/semantics/articleapplication/pdfhttps://riunet.upv.es/handle/10251/82630reponame:RiuNet. Repositorio Institucional de la Universitat Politécnica de Valénciainstname:Universitat Politècnica de València (UPV)InglésengNational Research Foundation Singapore https://doi.org/10.13039/501100001321 2053847open accesshttp://purl.org/coar/access_right/c_abf2Reconocimiento - No comercial - Sin obra derivada (by-nc-nd) http://creativecommons.org/licenses/by-nc-nd/4.0/info:eu-repo/semantics/openAccessoai:riunet.upv.es:10251/826302026-06-13T07:49:27Z
dc.title.none.fl_str_mv On some applications of fuzzy points
title On some applications of fuzzy points
spellingShingle On some applications of fuzzy points
Ganster, Maximilian
Fuzzy Topology
Fuzzy points
Fuzzy convergence
Fuzzy separation axioms
Fuzzy preopen sets
title_short On some applications of fuzzy points
title_full On some applications of fuzzy points
title_fullStr On some applications of fuzzy points
title_full_unstemmed On some applications of fuzzy points
title_sort On some applications of fuzzy points
dc.creator.none.fl_str_mv Ganster, Maximilian
Georgiou, D.N.
Jafari, S.
Moshokoa, S.P.
author Ganster, Maximilian
author_facet Ganster, Maximilian
Georgiou, D.N.
Jafari, S.
Moshokoa, S.P.
author_role author
author2 Georgiou, D.N.
Jafari, S.
Moshokoa, S.P.
author2_role author
author
author
dc.contributor.none.fl_str_mv National Research Foundation, South Africa
Repositorio Institucional de la Universitat Politècnica de València Riunet
dc.subject.none.fl_str_mv Fuzzy Topology
Fuzzy points
Fuzzy convergence
Fuzzy separation axioms
Fuzzy preopen sets
topic Fuzzy Topology
Fuzzy points
Fuzzy convergence
Fuzzy separation axioms
Fuzzy preopen sets
description [EN] The notion of preopen sets play a very important role in General Topology and Fuzzy Topology. Preopen sets are also called nearly open and locally dense. The purpose of this paper is to give some applications of fuzzy points in fuzzy topological spaces. Moreover, in section 2 we offer some properties of fuzzy preclosed sets through the contribution of fuzzy points and we introduce new separation axioms in fuzzy topological spaces. Also using the notions of weak and strong fuzzy points, we investigate some properties related to the preclosure of such points, and also their impact on separation axioms. In section 3, using the notion of fuzzy points, we introduce and study the notions of fuzzy pre-upper limit, fuzzy pre-lower limit and fuzzy pre-limit. Finally in section 4, we introduce the fuzzy pre-continuous convergence on the set of fuzzy pre-continuous functions and give a characterization of the fuzzy pre-continuous convergence through the assistance of fuzzy pre-upper limit.
publishDate 2015
dc.date.none.fl_str_mv 2015
2015-10-01
dc.type.none.fl_str_mv journal article
http://purl.org/coar/resource_type/c_6501
VoR
http://purl.org/coar/version/c_970fb48d4fbd8a85
dc.type.openaire.fl_str_mv info:eu-repo/semantics/article
format article
dc.identifier.none.fl_str_mv https://riunet.upv.es/handle/10251/82630
url https://riunet.upv.es/handle/10251/82630
dc.language.none.fl_str_mv Inglés
eng
language_invalid_str_mv Inglés
language eng
dc.relation.none.fl_str_mv National Research Foundation Singapore https://doi.org/10.13039/501100001321 2053847
dc.rights.none.fl_str_mv open access
http://purl.org/coar/access_right/c_abf2
Reconocimiento - No comercial - Sin obra derivada (by-nc-nd)
http://creativecommons.org/licenses/by-nc-nd/4.0/
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
Reconocimiento - No comercial - Sin obra derivada (by-nc-nd)
http://creativecommons.org/licenses/by-nc-nd/4.0/
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv Universitat Politècnica de València
publisher.none.fl_str_mv Universitat Politècnica de València
dc.source.none.fl_str_mv reponame:RiuNet. Repositorio Institucional de la Universitat Politécnica de Valéncia
instname:Universitat Politècnica de València (UPV)
instname_str Universitat Politècnica de València (UPV)
reponame_str RiuNet. Repositorio Institucional de la Universitat Politécnica de Valéncia
collection RiuNet. Repositorio Institucional de la Universitat Politécnica de Valéncia
repository.name.fl_str_mv
repository.mail.fl_str_mv
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