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Título: Linguistic majorities with difference in support
Autor: Pérez Asurmendi, Patrizia
Chiclana, Francisco
Año del Documento: 2014
Editorial: Elsevier
Descripción: Producción Científica
Documento Fuente: Applied Soft Computing 18, pp. 196-208, 2014
Resumen: In 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.
Palabras Clave: Regla de agregación
Preferencias lingüísticas
ISSN: 1568-4946
Revisión por Pares: SI
DOI: 10.1016/j.asoc.2014.01.010
Patrocinador: Ministerio de Economía, Industria y Competitividad (Projects ECO2009–07332)
Ministerio de Economía, Industria y Competitividad (Project ECO2012–32178)
Ministerio de Economía, Industria y Competitividad (Project ECO2012-34202)
Version del Editor: http://www.sciencedirect.com/science/article/pii/S1568494614000192
Propietario de los Derechos: © Elsevier
Idioma: eng
URI: http://uvadoc.uva.es/handle/10324/22904
Derechos: info:eu-repo/semantics/openAccess
Aparece en las colecciones:DEP20 - Artículos de revista

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