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Decomposition and arrow-like aggregation of fuzzy preferences
| dc.creator | Raventós Pujol, Armajac | es_ES |
| dc.creator | Campión Arrastia, María Jesús | es_ES |
| dc.creator | Induráin Eraso, Esteban | es_ES |
| dc.date.accessioned | 2020-07-06T08:41:20Z | |
| dc.date.available | 2020-07-06T08:41:20Z | |
| dc.date.issued | 2020 | |
| dc.identifier.issn | 2227-7390 | |
| dc.identifier.uri | https://hdl.handle.net/2454/37331 | |
| dc.description.abstract | We 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.sponsorship | This work is partially supported by the research projects MTM2015-63608-P and TIN2016-77356-P (MINECO/ AEI-FEDER, UE). | en |
| dc.format.extent | 18 p. | |
| dc.format.mimetype | application/pdf | en |
| dc.language.iso | eng | en |
| dc.publisher | MDPI | en |
| dc.relation.ispartof | Mathematics, 2020, 8(3), 436 | en |
| 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.uri | http://creativecommons.org/licenses/by/4.0/ | |
| dc.subject | Arrow’s impossibility theorems | en |
| dc.subject | Mathematical social choice | en |
| dc.subject | Fuzzy preferences | en |
| dc.subject | Decomposition of preferences | en |
| dc.subject | Aggregation of individual profiles | en |
| dc.subject | Social rules | en |
| dc.subject | Arrovian models, Paretian property | en |
| dc.subject | Independence of irrelevant alternatives | en |
| dc.subject | Dictatorship | en |
| dc.title | Decomposition and arrow-like aggregation of fuzzy preferences | en |
| dc.type | info:eu-repo/semantics/article | en |
| dc.type | Artículo / Artikulua | es |
| dc.contributor.department | Estadística, Informática y Matemáticas | es_ES |
| dc.contributor.department | Estatistika, Informatika eta Matematika | eu |
| 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 | info:eu-repo/semantics/openAccess | en |
| dc.rights.accessRights | Acceso abierto / Sarbide irekia | es |
| dc.identifier.doi | 10.3390/math8030436 | |
| dc.relation.projectID | info:eu-repo/grantAgreement/MINECO//MTM2015-63608-P/ES/ | en |
| dc.relation.projectID | info:eu-repo/grantAgreement/ES/1PE/TIN2016-77356-P | en |
| dc.relation.publisherversion | https://doi.org/10.3390/math8030436 | |
| dc.type.version | info:eu-repo/semantics/publishedVersion | en |
| dc.type.version | Versión publicada / Argitaratu den bertsioa | es |
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