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dc.contributor.authorBouyssou, Denis
dc.contributor.authorPirlot, Marc
dc.date.accessioned2020-10-12T14:52:15Z
dc.date.available2020-10-12T14:52:15Z
dc.date.issued2020
dc.identifier.urihttps://basepub.dauphine.fr/handle/123456789/21099
dc.language.isoenen
dc.subjectsemiorderen
dc.subjectnumerical representationen
dc.subjectconstant thresholden
dc.subjectuncountable setsen
dc.subject.ddc003en
dc.titleUnit representation of semiorders II: The general caseen
dc.typeDocument de travail / Working paper
dc.description.abstractenNecessary and suffcient conditions under which semiorders on uncountable sets can be represented by a real-valued function and a constant threshold are known. We show that the proof strategy that we used for constructing representations in the case of denumerable semiorders can be adapted to the uncountable case. We use it to give an alternative proof of the existence of strict unit representations. A direct adaptation of the same strategy allows us to prove a characterization of the semiorders that admit a nonstrict representation.en
dc.publisher.cityParisen
dc.relation.ispartofseriestitlePreprint Lamsadeen
dc.identifier.urlsitehttps://hal.archives-ouvertes.fr/hal-02918017en
dc.subject.ddclabelRecherche opérationnelleen
dc.description.ssrncandidatenonen
dc.description.halcandidatenonen
dc.description.readershiprechercheen
dc.description.audienceInternationalen
dc.date.updated2020-10-12T14:50:49Z
hal.person.labIds989
hal.person.labIds


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