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dc.creatorCampión Arrastia, María Jesúses_ES
dc.creatorMiguel Turullols, Laura dees_ES
dc.creatorGarcía Catalán, Olga Raqueles_ES
dc.creatorInduráin Eraso, Estebanes_ES
dc.creatorAbrísqueta Usaola, Francisco Javieres_ES
dc.date.accessioned2018-01-09T08:30:50Z
dc.date.available2018-12-01T00:00:10Z
dc.date.issued2017
dc.identifier.issn0218-4885 (Print)
dc.identifier.issn1793-6411 (Electronic)
dc.identifier.urihttps://hdl.handle.net/2454/26678
dc.descriptionElectronic 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/ijufksen
dc.description.abstractWe analyze the main properties of binary relations, defined o n 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 fur nished 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.sponsorshipThis 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.mimetypeapplication/pdfen
dc.publisherWorld Scientific Publishing Companyen
dc.relation.ispartofInternational Journal of Uncertainty, Fuzziness and knowledge-Based Systems, vol. 25, Suppl. 19 (December 2017), pp. 19-42en
dc.rights© World Scientific Publishing Companyen
dc.subjectFunctional equations on two variablesen
dc.subjectBinary relationsen
dc.subjectOrdered structuresen
dc.subjectNumerical representabilityen
dc.subjectFuzzy setsen
dc.subjectFuzzy numbersen
dc.subjectFuzzy relationsen
dc.titleBinary relations coming from solutions of functional equations: orderings and fuzzy subsetsen
dc.typeArtículo / Artikuluaes
dc.typeinfo:eu-repo/semantics/articleen
dc.contributor.departmentUniversidad Pública de Navarra. Departamento de Automática y Computaciónes_ES
dc.contributor.departmentNafarroako Unibertsitate Publikoa. Automatika eta Konputazioa Sailaeu
dc.contributor.departmentUniversidad Pública de Navarra. Departamento de Matemáticases_ES
dc.contributor.departmentNafarroako Unibertsitate Publikoa. Matematika Sailaeu
dc.contributor.departmentInarbe - Institute for Advanced Research in Business and Economicsen
dc.contributor.departmentISC - Institute of Smart Citiesen
dc.contributor.departmentInaMat - Institute for Advanced Materialsen
dc.rights.accessRightsAcceso abierto / Sarbide irekiaes
dc.rights.accessRightsinfo:eu-repo/semantics/openAccessen
dc.embargo.terms2018-12-01es_ES
dc.identifier.doihttps://doi.org/10.1142/s0218488517400025
dc.relation.projectIDinfo:eu-repo/grantAgreement/ES/6PN/ MTM2012-37894
dc.relation.projectIDinfo:eu-repo/grantAgreement/ES/1PE/TIN2013-47605-P
dc.relation.projectIDinfo:eu-repo/grantAgreement/ES/1PE/ECO2015-65031-R
dc.relation.projectIDinfo:eu-repo/grantAgreement/ES/1PE/MTM2015-63608-P
dc.relation.projectIDinfo:eu-repo/grantAgreement/ES/1PE/TIN2016-77356-P
dc.type.versionVersión aceptada / Onetsi den bertsioaes
dc.type.versioninfo:eu-repo/semantics/acceptedVersionen
dc.contributor.funderUniversidad Pública de Navarra / Nafarroako Unibertsitate Publikoaes


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