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Identification of a 2-Additive Bi-Capacity by Using Mathematical Programming

hal.structure.identifier
dc.contributor.authorAh-Pine, Julien
HAL ID: 15506
ORCID: 0000-0001-6898-3961
hal.structure.identifierLaboratoire d'analyse et modélisation de systèmes pour l'aide à la décision [LAMSADE]
dc.contributor.authorMayag, Brice
HAL ID: 734803
hal.structure.identifier
dc.contributor.authorRolland, Antoine
HAL ID: 181206
ORCID: 0000-0002-9758-4406
dc.date.accessioned2016-12-06T15:26:22Z
dc.date.available2016-12-06T15:26:22Z
dc.date.issued2013
dc.identifier.urihttps://basepub.dauphine.fr/handle/123456789/16067
dc.language.isoenen
dc.subject2-additive bi-capacity identificationen
dc.subjectBipolar Choquet integralen
dc.subjectPreference elicitationen
dc.subject.ddc003en
dc.subject.classificationjelC.C4.C44en
dc.titleIdentification of a 2-Additive Bi-Capacity by Using Mathematical Programmingen
dc.typeCommunication / Conférence
dc.description.abstractenIn some multi-criteria decision making problems, it is more convenient to express the decision maker preferences in bipolar scales. In such cases, the bipolar Choquet integral with respect to bi-capacities was introduced. In this paper, we address the problem of eliciting a bipolar Choquet integral with respect to a 2-additive bi-capacity. We assume that we are given a set of examples with (i) their scores distribution in regard to several criteria and (ii) their overall scores. We propose two types of optimization problems that allow identifying the parameters of a 2-additive bi-capacity such that the inferred bipolar Choquet integral is consistent with the given examples as much as possible. Furthermore, since the elicitation process we study has many relationships with problems in statistical machine learning, we also present the links between our models and concepts developed in the latter field.en
dc.identifier.citationpages15-29en
dc.relation.ispartoftitleAlgorithmic Decision Theoryen
dc.relation.ispartofeditorPerny, Patrice
dc.relation.ispartofeditorPirlot, Marc
dc.relation.ispartofeditorTsoukias, Alexis
dc.relation.ispartofpublnameSpringer-Verlag Berlinen
dc.relation.ispartofpublcityHeidelbergen
dc.relation.ispartofdate2013-11
dc.relation.ispartofpages442en
dc.subject.ddclabelRecherche opérationnelleen
dc.relation.ispartofisbn978-3-642-41574-6en
dc.relation.conftitleThird International Conference, ADT 2013en
dc.relation.confdate2013-11
dc.relation.confcityBruxellesen
dc.relation.confcountryBelgiumen
dc.relation.forthcomingnonen
dc.identifier.doi10.1007/978-3-642-41575-3_2en
dc.description.ssrncandidatenonen
dc.description.halcandidateouien
dc.description.readershiprechercheen
dc.description.audienceInternationalen
dc.relation.Isversionofjnlpeerreviewednonen
dc.relation.Isversionofjnlpeerreviewednonen
dc.date.updated2016-12-06T15:14:22Z
hal.identifierhal-01410477*
hal.version1*
hal.author.functionaut
hal.author.functionaut
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