Weightable quasi-metrics related to fuzzy sets
| dc.contributor.author | Campión Arrastia, María Jesús | |
| dc.contributor.author | García Catalán, Olga Raquel | |
| dc.contributor.author | Induráin Eraso, Esteban | |
| dc.contributor.author | Valero, Óscar | |
| dc.contributor.department | Matematika | eu |
| dc.contributor.department | Institute for Advanced Materials and Mathematics - INAMAT2 | en |
| dc.contributor.department | Institute for Advanced Research in Business and Economics - INARBE | en |
| dc.contributor.department | Matemáticas | es_ES |
| dc.contributor.funder | Universidad Pública de Navarra / Nafarroako Unibertsitate Publikoa | es |
| dc.date.accessioned | 2019-09-10T07:47:42Z | |
| dc.date.available | 2019-09-10T07:47:42Z | |
| dc.date.issued | 2018 | |
| dc.description.abstract | We show that the definition of a fuzzy set is directly related to the existence of a weightable quasi-metric on a universe. This relationship is also explored in terms of functional equations coming either from the membership function of a fuzzy set or from the disymmetry function of a quasi-metric. | en |
| dc.description.sponsorship | This work has been partially supported by the research projects TIN2013-47605-P, TIN2014-56381-REDT, ECO2015-65031-R, MTM2015-63608-P (MINECO/ AEI-FEDER, UE), TIN2016-81731-REDT, TIN2016-77356-P (MINECO/ AEI-FEDER, UE) and the Research Services of the Public University of Navarre (Spain). | en |
| dc.format.extent | 12 p. | |
| dc.format.mimetype | application/pdf | en |
| dc.identifier.doi | 10.15672/HJMS.2017.495 | |
| dc.identifier.issn | 1303-5010 | |
| dc.identifier.uri | https://academica-e.unavarra.es/handle/2454/34778 | |
| dc.language.iso | eng | en |
| dc.publisher | Hacettepe University (Turquía) | en |
| dc.relation.ispartof | Hacettepe Journal of Mathematics and Statistics, 47 (5), 1184-1195 | en |
| dc.relation.projectID | info:eu-repo/grantAgreement/ES/1PE/TIN2013-47605-P/ | |
| dc.relation.projectID | info:eu-repo/grantAgreement/MINECO//TIN2014-56381-REDT/ES/ | |
| dc.relation.projectID | info:eu-repo/grantAgreement/MINECO//ECO2015-65031-R/ES/ | |
| dc.relation.projectID | info:eu-repo/grantAgreement/MINECO//MTM2015-63608-P/ES/ | |
| dc.relation.projectID | info:eu-repo/grantAgreement/ES/1PE/TIN2016-81731/ | |
| dc.relation.projectID | info:eu-repo/grantAgreement/ES/1PE/TIN2016-77356-P/ | |
| dc.relation.publisherversion | https://doi.org/10.15672/HJMS.2017.495 | |
| dc.rights | © 2018, Hacettepe University. All rights reserved. | en |
| dc.rights.accessRights | info:eu-repo/semantics/openAccess | |
| dc.subject | Functional equations | en |
| dc.subject | Fuzzy sets | en |
| dc.subject | Representable total preorders | en |
| dc.subject | Weightable quasi-metrics | en |
| dc.title | Weightable quasi-metrics related to fuzzy sets | en |
| dc.type | info:eu-repo/semantics/article | |
| dc.type.version | info:eu-repo/semantics/publishedVersion | |
| dspace.entity.type | Publication | |
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