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dc.contributor.authorPirlot, Marc
dc.contributor.authorMarchant, Thierry
dc.contributor.authorBouyssou, Denis
HAL ID: 182535
ORCID: 0000-0003-3487-8498
dc.subjectConjoint measurementen
dc.subjectSugeno integralen
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.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.subject.ddclabelRecherche opérationnelleen

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