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dc.contributor.authorNgo The, An
dc.contributor.authorTsoukiàs, Alexis
HAL ID: 740501
ORCID: 0000-0001-5772-3988
dc.date.accessioned2009-10-06T12:03:19Z
dc.date.available2009-10-06T12:03:19Z
dc.date.issued2005
dc.identifier.urihttps://basepub.dauphine.fr/handle/123456789/2129
dc.language.isoenen
dc.subjectIntervalsen
dc.subjectPQI interval ordersen
dc.subjectNumerical representationen
dc.subjectMinimal representationen
dc.subject.ddc003en
dc.titleNumerical representation of PQI interval ordersen
dc.typeArticle accepté pour publication ou publié
dc.contributor.editoruniversityotherUniversity of Calgary;Canada
dc.description.abstractenWe consider the problem of numerical representations of PQI interval orders. A preference structure on a finite set A with three relations P,Q,I standing for “strict preference”, “weak preference” and “indifference”, respectively, is defined as a PQI interval order iff there exists a representation of each element of A by an interval in such a way that, P holds when one interval is completely to the right of the other, I holds when one interval is included to the other and Q holds when one interval is to the right of the other, but they do have a non-empty intersection (Q modelling the hesitation between P and I). Only recently, necessary and sufficient conditions for a PQI preference structure to be identified as a PQI interval order have been established. In this paper, we are interested in the problem of constructing a numerical representation of a PQI interval order and possibly a minimal one. We present two algorithms, the first one in O(n2) aimed to determine a general numerical representation, and the second one, in O(n), aimed to minimise such a representation.en
dc.relation.isversionofjnlnameDiscrete Applied Mathematics
dc.relation.isversionofjnlvol147en
dc.relation.isversionofjnlissue1en
dc.relation.isversionofjnldate2005
dc.relation.isversionofjnlpages125-146en
dc.relation.isversionofdoihttp://dx.doi.org/10.1016/j.dam.2004.06.026en
dc.description.sponsorshipprivateouien
dc.relation.isversionofjnlpublisherElsevieren
dc.subject.ddclabelRecherche opérationnelleen


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