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On fuzzy uniformities induced by a fuzzy metric space

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dc.contributor.author Gutierrez Garcia, Javier es_ES
dc.contributor.author Rodríguez López, Jesús es_ES
dc.contributor.author Romaguera Bonilla, Salvador es_ES
dc.date.accessioned 2020-04-27T05:55:45Z
dc.date.available 2020-04-27T05:55:45Z
dc.date.issued 2018 es_ES
dc.identifier.issn 0165-0114 es_ES
dc.identifier.uri http://hdl.handle.net/10251/141530
dc.description.abstract [EN] Different types of fuzzy uniformities have been introduced in the literature standing out the notions due to Hutton, Hohle and Lowen. The main purpose of this paper is to study several methods to endow a fuzzy metric space (X, M, *), in the sense of George and Veeramani, with a probabilistic uniformity and with a Hutton [0, 1](-quasi)-uniformity. We will show the functorial behavior of these constructions as well as its relation with respect to Lowen's functors and Katsaras's functors, which establish a relationship between the categories of probabilistic uniformities and Hutton [0, 1](-quasi)-uniformities with the category of classical uniformities respectively. Furthermore, we also study the fuzzy topologies associated with these fuzzy uniformities. (C) 2017 Elsevier B.V. All rights reserved. es_ES
dc.description.sponsorship The first named author acknowledges the support of the grants MTM2015-63608-P (MINECO/FEDER, UE) and IT974-16 (Basque Government).The second named author is supported by the grant MTM2015-64373-P (MINECO/FEDER, UE). es_ES
dc.language Inglés es_ES
dc.publisher Elsevier es_ES
dc.relation.ispartof Fuzzy Sets and Systems es_ES
dc.rights Reconocimiento - No comercial - Sin obra derivada (by-nc-nd) es_ES
dc.subject Fuzzy metric space es_ES
dc.subject Probabilistic uniformity es_ES
dc.subject Lowen uniformity es_ES
dc.subject Hutton [0,1]-uniformity es_ES
dc.subject Fuzzifying uniformity es_ES
dc.subject [0,1]-topology es_ES
dc.subject.classification MATEMATICA APLICADA es_ES
dc.title On fuzzy uniformities induced by a fuzzy metric space es_ES
dc.type Artículo es_ES
dc.identifier.doi 10.1016/j.fss.2017.05.001 es_ES
dc.relation.projectID info:eu-repo/grantAgreement/MINECO//MTM2015-63608-P/ES/ESTRUCTURAS ORDENADAS Y TOPOLOGIA: TOPOLOGIA SIN PUNTOS, TOPOLOGIA RETICULO-VALUADA Y NO COMMUTATIVA, Y REPRESENTACIONES NUMERICAS/ es_ES
dc.relation.projectID info:eu-repo/grantAgreement/Eusko Jaurlaritza//IT974-16/ es_ES
dc.relation.projectID info:eu-repo/grantAgreement/MINECO//MTM2015-64373-P/ES/HIPERESPACIOS, ESTRUCTURAS DIFUSAS Y ASIMETRICAS. APLICACIONES A CIENCIA DE LA COMPUTACION Y AL FILTRADO DE IMAGENES./ es_ES
dc.rights.accessRights Abierto es_ES
dc.contributor.affiliation Universitat Politècnica de València. Departamento de Matemática Aplicada - Departament de Matemàtica Aplicada es_ES
dc.description.bibliographicCitation Gutierrez Garcia, J.; Rodríguez López, J.; Romaguera Bonilla, S. (2018). On fuzzy uniformities induced by a fuzzy metric space. Fuzzy Sets and Systems. 330:52-78. https://doi.org/10.1016/j.fss.2017.05.001 es_ES
dc.description.accrualMethod S es_ES
dc.relation.publisherversion https://doi.org/10.1016/j.fss.2017.05.001 es_ES
dc.description.upvformatpinicio 52 es_ES
dc.description.upvformatpfin 78 es_ES
dc.type.version info:eu-repo/semantics/publishedVersion es_ES
dc.description.volume 330 es_ES
dc.relation.pasarela S\345944 es_ES
dc.contributor.funder Gobierno Vasco/Eusko Jaurlaritza es_ES
dc.contributor.funder European Regional Development Fund es_ES
dc.contributor.funder Ministerio de Economía y Competitividad es_ES
dc.contributor.funder Ministerio de Economía, Industria y Competitividad es_ES


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