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A conjoint measurement approach to the discrete Sugeno integral

dc.contributor.authorPirlot, Marc
dc.contributor.authorMarchant, Thierry
dc.contributor.authorBouyssou, Denis
HAL ID: 182535
ORCID: 0000-0003-3487-8498
dc.date.accessioned2009-07-17T09:22:52Z
dc.date.available2009-07-17T09:22:52Z
dc.date.issued2009
dc.identifier.urihttps://basepub.dauphine.fr/handle/123456789/1195
dc.language.isoenen
dc.subjectConjoint measurementen
dc.subjectSugeno integralen
dc.subjectMCDMen
dc.subject.ddc003en
dc.titleA conjoint measurement approach to the discrete Sugeno integralen
dc.typeChapitre d'ouvrage
dc.contributor.editoruniversityotherGhent University;Belgique
dc.contributor.editoruniversityotherFaculté polytechnique de Mons;Belgique
dc.description.abstractenIn a recent paper (European Journal of Operational Research, 158, 271–292, 2004), S. Greco, B. Matarazzo and R. Słowinski have stated without proof a result characterizing binary relations on product sets that can be represented using a discrete Sugeno integral. To our knowledge, this is the first result about a fuzzy integral that applies to non-necessarily homogeneous product sets and only uses a binary relation on this set as a primitive. This is of direct interest to MCDM. The main purpose of this note is to propose a proof of this important result. Thereby, we study the connections between the discrete Sugeno integral and a non-numerical model called the noncompensatory model. We also show that the main condition used in the result of S. Greco, B. Matarazzo and R. Słowi´nski can be factorized in such a way that the discrete Sugeno integral model can be viewed as a particular case of a general decomposable representation.en
dc.identifier.citationpages85-109en
dc.relation.ispartoftitleThe Mathematics of Preference, Choice and Order. Essays in Honor of Peter C. Fishburnen
dc.relation.ispartofeditorBrams, S.
dc.relation.ispartofeditorGehrlein, W. V.
dc.relation.ispartofeditorRoberts, F. S.
dc.relation.ispartofpublnameSpringeren
dc.relation.ispartofdate2009
dc.relation.ispartofpages420en
dc.identifier.urlsitehttp://hal.archives-ouvertes.fr/hal-00119002/fr/en
dc.description.sponsorshipprivateouien
dc.subject.ddclabelRecherche opérationnelleen
dc.relation.ispartofisbn978-3-540-79127-0en


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