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Decomposition and arrow-like aggregation of fuzzy preferences

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dc.contributor.authorRaventós Pujol, Armajac
dc.contributor.authorCampión Arrastia, María Jesús
dc.contributor.authorInduráin Eraso, Esteban
dc.contributor.departmentEstatistika, Informatika eta Matematikaeu
dc.contributor.departmentInstitute for Advanced Research in Business and Economics - INARBEen
dc.contributor.departmentInstitute for Advanced Materials and Mathematics - INAMAT2en
dc.contributor.departmentEstadística, Informática y Matemáticases_ES
dc.date.accessioned2020-07-06T08:41:20Z
dc.date.available2020-07-06T08:41:20Z
dc.date.issued2020
dc.description.abstractWe analyze the concept of a fuzzy preference on a set of alternatives, and how it can be decomposed in a triplet of new fuzzy binary relations that represent strict preference, weak preference and indifference. In this setting, we analyze the problem of aggregation of individual fuzzy preferences in a society into a global one that represents the whole society and accomplishes a shortlist of common-sense properties in the spirit of the Arrovian model for crisp preferences. We introduce a new technique that allows us to control a fuzzy preference by means of five crisp binary relations. This leads to an Arrovian impossibility theorem in this particular fuzzy setting.en
dc.description.sponsorshipThis work is partially supported by the research projects MTM2015-63608-P and TIN2016-77356-P (MINECO/ AEI-FEDER, UE).en
dc.format.extent18 p.
dc.format.mimetypeapplication/pdfen
dc.identifier.doi10.3390/math8030436
dc.identifier.issn2227-7390
dc.identifier.urihttps://academica-e.unavarra.es/handle/2454/37331
dc.language.isoengen
dc.publisherMDPIen
dc.relation.ispartofMathematics, 2020, 8(3), 436en
dc.relation.projectIDinfo:eu-repo/grantAgreement/MINECO//MTM2015-63608-P/ES/en
dc.relation.projectIDinfo:eu-repo/grantAgreement/ES/1PE/TIN2016-77356-Pen
dc.relation.publisherversionhttps://doi.org/10.3390/math8030436
dc.rights© 2020 by the authors. Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license.en
dc.rights.accessRightsinfo:eu-repo/semantics/openAccessen
dc.rights.accessRightsAcceso abierto / Sarbide irekiaes
dc.rights.urihttp://creativecommons.org/licenses/by/4.0/
dc.subjectArrow’s impossibility theoremsen
dc.subjectMathematical social choiceen
dc.subjectFuzzy preferencesen
dc.subjectDecomposition of preferencesen
dc.subjectAggregation of individual profilesen
dc.subjectSocial rulesen
dc.subjectArrovian models, Paretian propertyen
dc.subjectIndependence of irrelevant alternativesen
dc.subjectDictatorshipen
dc.titleDecomposition and arrow-like aggregation of fuzzy preferencesen
dc.typeinfo:eu-repo/semantics/articleen
dc.typeArtículo / Artikuluaes
dc.type.versioninfo:eu-repo/semantics/publishedVersionen
dc.type.versionVersión publicada / Argitaratu den bertsioaes
dspace.entity.typePublication
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relation.isAuthorOfPublication0961993a-a5bf-46e4-ae5e-30f0dd1ecc19
relation.isAuthorOfPublicationc874513c-89e0-4d58-915a-e3b33d41925a
relation.isAuthorOfPublication.latestForDiscoverydf884328-0efb-4247-925b-cabd35b77cef

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