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Binary relations coming from solutions of functional equations: orderings and fuzzy subsets
dc.creator | Campión Arrastia, María Jesús | es_ES |
dc.creator | Miguel Turullols, Laura de | es_ES |
dc.creator | García Catalán, Olga Raquel | es_ES |
dc.creator | Induráin Eraso, Esteban | es_ES |
dc.creator | Abrísqueta Usaola, Francisco Javier | es_ES |
dc.date.accessioned | 2018-01-09T08:30:50Z | |
dc.date.available | 2018-12-01T00:00:10Z | |
dc.date.issued | 2017 | |
dc.identifier.issn | 0218-4885 (Print) | |
dc.identifier.issn | 1793-6411 (Electronic) | |
dc.identifier.uri | https://hdl.handle.net/2454/26678 | |
dc.description | Electronic version of an article published as International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems Vol. 25, Suppl. 1 (December 2017) 19-42 DOI: 10.1142/S0218488517400025 © World Scientific Publishing Company http://www.worldscientific.com/worldscinet/ijufks | en |
dc.description.abstract | We analyze the main properties of binary relations, defined on a nonempty set, that arise in a natural way when dealing with real-valued functions that satisfy certain classical functional equations on two variables. We also consider the converse setting, namely, given binary relations that accomplish some typical properties, we study whether or not they come from solutions of some functional equation. Applications to the numerical representability theory of ordered structures are also furnished as a by-product. Further interpretations of this approach as well as possible generalizations to the fuzzy setting are also commented. In particular, we discuss how the values taken for bivariate functions that are bounded solutions of some classical functional equations define, in a natural way, fuzzy binary relations on a set. | en |
dc.description.sponsorship | This work has been partially supported by the research projects MTM2012-37894-C02-02, TIN2013-47605-P, ECO2015-65031-R, MTM2015-63608-P (MINECO/FEDER), TIN2016-77356-P and the Research Services of the Public University of Navarre (Spain). | en |
dc.format.mimetype | application/pdf | en |
dc.language.iso | eng | en |
dc.publisher | World Scientific Publishing Company | en |
dc.relation.ispartof | International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems, vol. 25, Suppl. 19 (December 2017), pp. 19-42 | en |
dc.rights | © World Scientific Publishing Company | en |
dc.subject | Functional equations on two variables | en |
dc.subject | Binary relations | en |
dc.subject | Ordered structures | en |
dc.subject | Numerical representability | en |
dc.subject | Fuzzy sets | en |
dc.subject | Fuzzy numbers | en |
dc.subject | Fuzzy relations | en |
dc.title | Binary relations coming from solutions of functional equations: orderings and fuzzy subsets | en |
dc.type | Artículo / Artikulua | es |
dc.type | info:eu-repo/semantics/article | en |
dc.contributor.department | Automática y Computación | es_ES |
dc.contributor.department | Automatika eta Konputazioa | eu |
dc.contributor.department | Matemáticas | es_ES |
dc.contributor.department | Matematika | eu |
dc.contributor.department | Institute of Smart Cities - ISC | es_ES |
dc.contributor.department | Institute for Advanced Research in Business and Economics - INARBE | es_ES |
dc.contributor.department | Institute for Advanced Materials and Mathematics - INAMAT2 | es_ES |
dc.rights.accessRights | Acceso abierto / Sarbide irekia | es |
dc.rights.accessRights | info:eu-repo/semantics/openAccess | en |
dc.embargo.terms | 2018-12-01 | |
dc.identifier.doi | 10.1142/s0218488517400025 | |
dc.relation.projectID | info:eu-repo/grantAgreement/ES/6PN/MTM2012-37894 | en |
dc.relation.projectID | info:eu-repo/grantAgreement/ES/1PE/TIN2013-47605 | en |
dc.relation.projectID | info:eu-repo/grantAgreement/MINECO//ECO2015-65031-R/ES/ | en |
dc.relation.projectID | info:eu-repo/grantAgreement/MINECO//MTM2015-63608-P/ES/ | en |
dc.relation.projectID | info:eu-repo/grantAgreement/ES/1PE/TIN2016-77356 | en |
dc.relation.publisherversion | https://doi.org/10.1142/s0218488517400025 | |
dc.type.version | Versión aceptada / Onetsi den bertsioa | es |
dc.type.version | info:eu-repo/semantics/acceptedVersion | en |
dc.contributor.funder | Universidad Pública de Navarra / Nafarroako Unibertsitate Publikoa | es |
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