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hal.structure.identifierLaboratoire d'analyse et modélisation de systèmes pour l'aide à la décision [LAMSADE]
dc.contributor.authorOzturk, Meltem*
dc.date.accessioned2010-01-13T13:38:23Z
dc.date.available2010-01-13T13:38:23Z
dc.date.issued2008
dc.identifier.issn1572-9338
dc.identifier.urihttps://basepub.dauphine.fr/handle/123456789/2918
dc.language.isoenen
dc.subjectPreference modelling
dc.subjectIntransitivity
dc.subjectm+ n posets
dc.subject.ddc003en
dc.titleOrdered sets with interval representation and (m, n)-Ferrers relation
dc.typeArticle accepté pour publication ou publié
dc.contributor.editoruniversityotherUniversité Lille-Nord;France
dc.description.abstractenSemiorders may form the simplest class of ordered sets with a not necessarily transitive indifference relation. Their generalization has given birth to many other classes of ordered sets, each of them characterized by an interval representation, by the properties of its relations or by forbidden configurations. In this paper, we are interested in preference structures having an interval representation. For this purpose, we propose a general framework which makes use of n-point intervals and allows a systematic analysis of such structures. The case of 3-point intervals shows us that our framework generalizes the classification of Fishburn by defining new structures. Especially we define three classes of ordered sets having a non-transitive indifference relation. A simple generalization of these structures provides three ordered sets that we call “ d-weak orders”, “ d-interval orders” and “triangle orders”. We prove that these structures have an interval representation. We also establish some links between the relational and the forbidden mode by generalizing the definition of a Ferrers relation.
dc.relation.isversionofjnlnameAnnals of Operations Research
dc.relation.isversionofjnlvol163
dc.relation.isversionofjnlissue1
dc.relation.isversionofjnldate2008
dc.relation.isversionofjnlpages177-196
dc.relation.isversionofdoihttp://dx.doi.org/10.1007/s10479-008-0334-1
dc.description.sponsorshipprivateouien
dc.relation.isversionofjnlpublisherSpringer
dc.subject.ddclabelRecherche opérationnelleen
dc.description.ssrncandidatenon
dc.description.halcandidateoui
dc.description.readershiprecherche
dc.description.audienceInternational
dc.relation.Isversionofjnlpeerreviewedoui
dc.date.updated2019-11-12T14:47:24Z
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