Compactness in the endograph uniformity

[EN] Given a uniform space (X,U), we denote by F*(X) to the family of fuzzy sets u in (X,U) such that u is normal and upper semicontinuous. Let UE be the endograph uniformity on F*(X). In this paper, we mainly characterize totally bounded and compact substes in the uniform space (F*(X),UE).  

Detalles Bibliográficos
Autor: Sánchez, Iván
Tipo de recurso: artículo
Fecha de publicación:2024
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:10251/203793
Acceso en línea:https://riunet.upv.es/handle/10251/203793
Access Level:acceso abierto
Palabra clave:Fuzzy sets
Endograph uniformity
Endograph metric
Sendograph uniformity
Sendograph metric
Completeness
Compactness
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repository_id_str
spelling Compactness in the endograph uniformitySánchez, IvánFuzzy setsEndograph uniformityEndograph metricSendograph uniformitySendograph metricCompletenessCompactness[EN] Given a uniform space (X,U), we denote by F*(X) to the family of fuzzy sets u in (X,U) such that u is normal and upper semicontinuous. Let UE be the endograph uniformity on F*(X). In this paper, we mainly characterize totally bounded and compact substes in the uniform space (F*(X),UE).  This research was supported by Conacyt, grant: Ciencia de Frontera 64356.Universitat Politècnica de ValènciaConsejo Nacional de Humanidades, Ciencias y Tecnologías, MéxicoRepositorio Institucional de la Universitat Politècnica de València Riunet20242024-04-02journal articlehttp://purl.org/coar/resource_type/c_6501VoRhttp://purl.org/coar/version/c_970fb48d4fbd8a85info:eu-repo/semantics/articleapplication/pdfhttps://riunet.upv.es/handle/10251/203793reponame:RiuNet. Repositorio Institucional de la Universitat Politécnica de Valénciainstname:Universitat Politècnica de València (UPV)Inglésengopen 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:10251/2037932026-06-13T07:49:27Z
dc.title.none.fl_str_mv Compactness in the endograph uniformity
title Compactness in the endograph uniformity
spellingShingle Compactness in the endograph uniformity
Sánchez, Iván
Fuzzy sets
Endograph uniformity
Endograph metric
Sendograph uniformity
Sendograph metric
Completeness
Compactness
title_short Compactness in the endograph uniformity
title_full Compactness in the endograph uniformity
title_fullStr Compactness in the endograph uniformity
title_full_unstemmed Compactness in the endograph uniformity
title_sort Compactness in the endograph uniformity
dc.creator.none.fl_str_mv Sánchez, Iván
author Sánchez, Iván
author_facet Sánchez, Iván
author_role author
dc.contributor.none.fl_str_mv Consejo Nacional de Humanidades, Ciencias y Tecnologías, México
Repositorio Institucional de la Universitat Politècnica de València Riunet
dc.subject.none.fl_str_mv Fuzzy sets
Endograph uniformity
Endograph metric
Sendograph uniformity
Sendograph metric
Completeness
Compactness
topic Fuzzy sets
Endograph uniformity
Endograph metric
Sendograph uniformity
Sendograph metric
Completeness
Compactness
description [EN] Given a uniform space (X,U), we denote by F*(X) to the family of fuzzy sets u in (X,U) such that u is normal and upper semicontinuous. Let UE be the endograph uniformity on F*(X). In this paper, we mainly characterize totally bounded and compact substes in the uniform space (F*(X),UE).  
publishDate 2024
dc.date.none.fl_str_mv 2024
2024-04-02
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/10251/203793
url https://riunet.upv.es/handle/10251/203793
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
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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score 15,301603

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