Hyperspace of a fuzzy quasi-uniform space
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| dc.contributor.author | Pedraza Aguilera, Tatiana
|
es_ES |
| dc.contributor.author | Rodríguez López, Jesús
|
es_ES |
| dc.date.accessioned | 2021-11-05T14:10:32Z | |
| dc.date.available | 2021-11-05T14:10:32Z | |
| dc.date.issued | 2020-04 | es_ES |
| dc.identifier.issn | 1735-0654 | es_ES |
| dc.identifier.uri | http://hdl.handle.net/10251/176419 | |
| dc.description.abstract | [EN] The aim of this paper is to present a fuzzy counterpart method of constructing the Hausdorff quasi-uniformity of a crisp quasi-uniformity. This process, based on previous works due to Morsi [25] and Georgescu [9], allows to extend probabilistic and Hutton [0, 1]-quasi-uniformities on a set X to its power set. In this way, we obtain an endofunctor for each one of the categories of those objects. We will demonstrate the commutativity of these endofunctors with Lowen and Katsaras' functors. Furthermore, we will prove the compatibility of our construction with the Hausdorff fuzzy quasi-pseudometric introduced in [33]. | es_ES |
| dc.description.sponsorship | The second author is supported by the grant MTM2015-64373-P (MINECO/FEDER, UE). The authors are grateful to the reviewers for useful comments which have improved the first version of the paper | es_ES |
| dc.language | Inglés | es_ES |
| dc.publisher | University of Sistan and Baluchestan | es_ES |
| dc.relation.ispartof | Iranian Journal of Fuzzy Systems | es_ES |
| dc.rights | Reserva de todos los derechos | es_ES |
| dc.subject | Fuzzy implication | es_ES |
| dc.subject | Hausdorff quasi-uniformity | es_ES |
| dc.subject | Probabilistic quasi-uniformity | es_ES |
| dc.subject | Hutton [0,1]-quasi-uniformity | es_ES |
| dc.subject | Fuzzy quasi-pseudometric | es_ES |
| dc.subject | Hausdorff fuzzy quasi-pseudometric | es_ES |
| dc.subject.classification | MATEMATICA APLICADA | es_ES |
| dc.title | Hyperspace of a fuzzy quasi-uniform space | es_ES |
| dc.type | Artículo | es_ES |
| dc.identifier.doi | 10.22111/IJFS.2020.5222 | 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.relation.projectID | info:eu-repo/grantAgreement/MINECO//MTM2015-64373-P//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 | Pedraza Aguilera, T.; Rodríguez López, J. (2020). Hyperspace of a fuzzy quasi-uniform space. Iranian Journal of Fuzzy Systems. 17(2):97-114. https://doi.org/10.22111/IJFS.2020.5222 | es_ES |
| dc.description.accrualMethod | S | es_ES |
| dc.relation.publisherversion | https://ijfs.usb.ac.ir/ | es_ES |
| dc.description.upvformatpinicio | 97 | es_ES |
| dc.description.upvformatpfin | 114 | es_ES |
| dc.type.version | info:eu-repo/semantics/publishedVersion | es_ES |
| dc.description.volume | 17 | es_ES |
| dc.description.issue | 2 | es_ES |
| dc.relation.pasarela | S\393477 | es_ES |
| dc.contributor.funder | European Regional Development Fund | es_ES |
| dc.contributor.funder | Ministerio de Economía y Competitividad | es_ES |
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