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Additive conjoint measurement with ordered categories

dc.contributor.authorMarchant, Thierry
dc.contributor.authorBouyssou, Denis
HAL ID: 182535
ORCID: 0000-0003-3487-8498
dc.date.accessioned2010-01-09T11:22:57Z
dc.date.available2010-01-09T11:22:57Z
dc.date.issued2010
dc.identifier.urihttps://basepub.dauphine.fr/handle/123456789/2842
dc.descriptionVoir la communication du même titre
dc.language.isoenen
dc.subjectAdditive conjoint measurementen
dc.subjectMultiple criteria analysisen
dc.subjectSortingen
dc.subjectOrdered categoriesen
dc.subject.ddc003en
dc.titleAdditive conjoint measurement with ordered categoriesen
dc.typeArticle accepté pour publication ou publié
dc.description.abstractenConjoint measurement studies binary relations defined on product sets and investigates the existence and uniqueness of, usually additive, numerical representations of such relations. It has proved to be quite a powerful tool to analyze and compare MCDM techniques designed to build a preference relation between multiattributed alternatives and has been an inspiring guide to many assessment protocols. The aim of this paper is to show that additive representations can be obtained on the basis of much poorer information than a preference relation. We will suppose here that the decision maker only specifies for each object if he/she finds it “attractive” (better than the status quo), “unattractive” (worse than the status quo) or “neutral” (equivalent to the status quo). We show how to build an additive representation, with tight uniqueness properties, using such an ordered partition of the set of objects. On a theoretical level, this paper shows that classical results of additive conjoint measurement can be extended to cover the case of ordered partitions and wishes to be a contribution to the growing literature on the foundations of sorting techniques in MCDM. On a more practical level, our results suggest an assessment strategy of an additive model on the basis of an ordered partition.en
dc.relation.isversionofjnlnameEuropean Journal of Operational Research
dc.relation.isversionofjnlvol203en
dc.relation.isversionofjnlissue1en
dc.relation.isversionofjnldate2010-05
dc.relation.isversionofjnlpages195-204en
dc.relation.isversionofdoihttp://dx.doi.org/10.1016/j.ejor.2009.07.032en
dc.description.sponsorshipprivateouien
dc.relation.isversionofjnlpublisherElsevieren
dc.subject.ddclabelRecherche opérationnelleen


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