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Preference representation with 3-points intervals

hal.structure.identifierLaboratoire d'analyse et modélisation de systèmes pour l'aide à la décision [LAMSADE]
dc.contributor.authorTsoukiàs, Alexis
HAL ID: 740501
ORCID: 0000-0001-5772-3988		*
hal.structure.identifierLaboratoire d'analyse et modélisation de systèmes pour l'aide à la décision [LAMSADE]
dc.contributor.authorOzturk, Meltem*
dc.date.accessioned2010-11-18T10:53:48Z
dc.date.available2010-11-18T10:53:48Z
dc.date.issued2006
dc.identifier.urihttps://basepub.dauphine.fr/handle/123456789/5105
dc.description.abstractfrIn this article we are interested in the representation ofqualitative preferences with the help of 3-points intervals (a vector ofthree increasingly ordered points). Preferences are crucial when anagent has to autonomously make a choice over several possible ac-tions. We provide first of all an axiomatization in order to character-ize our representation and then we construct a general framework forthe comparison of 3-points intervals. Our study shows that from thefifteen possible different ways to compare 3-points intervals, sevendifferent preference structures can be defined, allowing the represen-tation of sophisticated preferences. We show the usefulness of ourresults in two classical problematics: the comparison of alternativesand the numerical representation of preference structures. Concern-ing the former one, we propose procedures to construct non classicalpreference relations (intransitive preferences for example) over ob-jects being described by three ordered points. Concerning the latterone, assuming that preferences on the pairwise comparisons of ob-jects are known, we show how to associate a 3-points interval to everyobject, and how to define some comparison rules on these intervalsin order to have a compact representation of preferences describedwith these pairwise comparisons.
dc.language.isoenen
dc.subjectPreference representation
dc.subjectqualitative preferences
dc.subject.ddc006.3en
dc.titlePreference representation with 3-points intervals
dc.typeCommunication / Conférence
dc.description.abstractenIn this article we are interested in the representation ofqualitative preferences with the help of 3-points intervals (a vector ofthree increasingly ordered points). Preferences are crucial when anagent has to autonomously make a choice over several possible actions. We provide first of all an axiomatization in order to characterize our representation and then we construct a general framework forthe comparison of 3-points intervals. Our study shows that from thefifteen possible different ways to compare 3-points intervals, sevendifferent preference structures can be defined, allowing the representation of sophisticated preferences. We show the usefulness of ourresults in two classical problematics: the comparison of alternativesand the numerical representation of preference structures. Concerning the former one, we propose procedures to construct non classicalpreference relations (intransitive preferences for example) over objects being described by three ordered points. Concerning the latterone, assuming that preferences on the pairwise comparisons of objects are known, we show how to associate a 3-points interval to everyobject, and how to define some comparison rules on these intervalsin order to have a compact representation of preferences describedwith these pairwise comparisons.
dc.identifier.citationpages417-421
dc.relation.ispartoftitleECAI 2006 - 17th European Conference on Artificial Intelligence August 29 -- September 1, 2006, Riva del Garda, Italy
dc.relation.ispartofeditorTraverso, Paolo
dc.relation.ispartofpublnameIOS Press
dc.relation.ispartofpublcityAmsterdam
dc.relation.ispartofdate2006
dc.description.sponsorshipprivateouien
dc.subject.ddclabelIntelligence artificielleen
dc.relation.ispartofisbn978-1-58603-642-3
dc.relation.confcountryITALY
dc.description.ssrncandidatenon
dc.description.halcandidateoui
dc.description.readershiprecherche
dc.description.audienceInternational
dc.date.updated2019-11-12T14:51:34Z
hal.author.functionaut
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