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Linguistic majorities with difference in support

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dc.contributor.authorPĂ©rez-Asurmendi, Patrizia
dc.contributor.authorChiclana, Francisco
dc.date.accessioned2023-06-19T13:38:19Z
dc.date.available2023-06-19T13:38:19Z
dc.date.issued2014-05-31
dc.description.abstractIn social choice voting, majorities based on difference of votes and their extension, majorities based on difference in support, implement the crisp preference values (votes) and the intensities of preference provided by voters when comparing pairs of alternatives, respectively. The aim of these rules is declaring which alternative is socially preferred and to that, they require the winner alternative to reach a certain positive difference in its social valuation with respect to the one reached by the loser alternative. This paper introduces a new aggregation rule that extends majorities based on difference of votes from the context of crisp preferences to the framework of linguistic preferences. Under linguistic majorities with difference in support, voters express their intensities of preference between pairs of alternatives using linguistic labels and an alternative defeats another one when a specific support, fixed before the election process, is reached. There exist two main representation methodologies of linguistic preferences: the cardinal one based on the use of fuzzy sets, and the ordinal one based on the use of the 2-tuples. Linguistic majorities with difference in support are formalised in both representation settings, and conditions are given to guarantee that fuzzy linguistic majorities and 2-tuple linguistic majorities are mathematically isomorphic. Finally, linguistic majorities based on difference in support are proved to verify relevant normative properties: anonymity, neutrality, monotonicity, weak Pareto and cancellativeness.
dc.description.departmentDepto. de Análisis Económico y Economía Cuantitativa
dc.description.facultyFac. de Ciencias EconĂłmicas y Empresariales
dc.description.refereedTRUE
dc.description.sponsorshipMinisterio de Ciencia e InnovaciĂłn (MICINN)/FEDER
dc.description.statuspub
dc.eprint.idhttps://eprints.ucm.es/id/eprint/59452
dc.identifier.doi10.1016/j.asoc.2014.01.010
dc.identifier.issn1568-4946
dc.identifier.officialurlhttps://doi.org/10.1016/j.asoc.2014.01.010
dc.identifier.urihttps://hdl.handle.net/20.500.14352/34176
dc.journal.titleApplied Soft Computing Journal
dc.language.isoeng
dc.page.final208
dc.page.initial196
dc.publisherElsevier
dc.relation.projectID(ECO2009–07332, ECO2012–32178 and ECO2012-34202)
dc.rights.accessRightsopen access
dc.subject.keywordSocial choice
dc.subject.keywordAggregation rule
dc.subject.keywordLinguistic preferences
dc.subject.keywordLinguistic majorities
dc.subject.keywordFuzzy sets
dc.subject.keyword2-tuples
dc.subject.keywordDifference in support.
dc.subject.ucmTeorĂ­as econĂłmicas
dc.subject.unesco5307 TeorĂ­a EconĂłmica
dc.titleLinguistic majorities with difference in support
dc.typejournal article
dc.volume.number18
dspace.entity.typePublication
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