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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