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dc.creatorBustince Sola, Humbertoes_ES
dc.creatorBedregal, Benjamines_ES
dc.creatorCampión Arrastia, María Jesúses_ES
dc.creatorSilva, Ivanoska daes_ES
dc.creatorFernández Fernández, Francisco Javieres_ES
dc.creatorInduráin Eraso, Estebanes_ES
dc.creatorRaventós Pujol, Armajaces_ES
dc.creatorSantiago, Regivanes_ES
dc.description.abstractThroughout this paper, our main idea is to analyze from a theoretical and normative point of view different methods to aggregate individual rankings. To do so, first we introduce the concept of a general mean on an abstract set. This new concept conciliates the social choice where well-known impossibility results as the Arrovian ones are encountered and the decision-making approaches where the necessity of fusing rankings is unavoidable. Moreover it gives rise to a reasonable definition of the concept of a ranking fusion function that does indeed satisfy the axioms of a general mean. Then we will introduce some methods to build ranking fusion functions, paying a special attention to the use of score functions, and pointing out the equivalence between ranking and scoring. To conclude, we prove that any ranking fusion function introduces a partial order on rankings implemented on a finite set of alternatives. Therefore, this allows us to compare rankings and different methods of aggregation, so that in practice one should look for the maximal elements with respect to such orders defined on rankings IEEE.en
dc.description.sponsorshipThis work is partially supported by the research projects ECO2015-65031-R, MTM2015-63608-P (MINECO/ AEI-FEDER, UE), TIN2016-77356-P (MINECO/ AEI-FEDER, UE), PID2019-108392GB-I00 (AEI/10.13039/501100011033), and Brazilian National Council for Scientific and Technological Development CNPq (Proc. 307781/2016-0).en
dc.format.extent15 p.
dc.relation.ispartofIEEE Transactions on Fuzzy Systems (2020)en
dc.rights© 2020 IEEE. Personal use of this material is permitted. Permission from IEEE must be obtained for all other uses, in any current or future media, including reprinting/republishing this material for advertising or promotional purposes, creating new collective works, for resale or redistribution to servers or lists, or reuse of any copyrighted component of this work in other work.en
dc.subjectDecision Makingen
dc.subjectGeneral meansen
dc.subjectRanking optimalityen
dc.subjectScore functionsen
dc.subjectSocial choiceen
dc.titleAggregation of individual rankings through fusion functions: criticism and optimality analysisen
dc.typeArtículo / Artikuluaes
dc.contributor.departmentEstadística, Informática y Matemáticases_ES
dc.contributor.departmentEstatistika, Informatika eta Matematikaeu
dc.contributor.departmentInstitute for Advanced Materials and Mathematics - INAMAT2es_ES
dc.rights.accessRightsAcceso abierto / Sarbide irekiaes
dc.relation.projectIDinfo:eu-repo/grantAgreement/AEI/Plan Estatal de Investigación Científica y Técnica y de Innovación 2017-2020/PID2019-108392GB-I00/ES/en
dc.type.versionVersión aceptada / Onetsi den bertsioaes

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