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dc.contributor.authorMarichal, Jean-Luc
dc.contributor.authorCouceiro, Miguel
HAL ID: 1498
dc.date.accessioned2013-01-08T17:34:27Z
dc.date.available2013-01-08T17:34:27Z
dc.date.issued2009
dc.identifier.urihttps://basepub.dauphine.fr/handle/123456789/10800
dc.language.isoenen
dc.subjectDiscrete Sugeno integralen
dc.subjectquasi-polynomial functionen
dc.subjecthorizontal maxitivity and minitivityen
dc.subjectcomonotonic maxitivity and minitivityen
dc.subjectfunctional equationen
dc.subject.ddc003en
dc.titleQuasi-polynomial functions on bounded chainsen
dc.typeCommunication / Conférence
dc.contributor.editoruniversityotherUniversite du Luxembourg;
dc.description.abstractenTwo emergent properties in aggregation theory are in-vestigated, namely horizontal maxitivity and comonotonic maxitivity (as well as their dual counterparts) which are commonly defined by means of certain functional equations. We present complete descrip-tions of the function classes axiomatized by each of these proper-ties, up to weak versions of monotonicity, in the cases of horizontal maxitivity and minitivity. While studying the classes axiomatized by combinations of these properties, we introduce the concept of quasi-polynomial function which appears as a natural extension of the well-established notion of polynomial function. We present further axiomatizations for this class both in terms of functional equations and natural relaxations of homogeneity and median decomposabil-ity. As noteworthy particular cases, we investigate those subclasses of quasi-term functions and quasi-weighted maximum and minimum functions, and present characterizations accordingly.en
dc.identifier.citationpages531-536en
dc.relation.ispartoftitleProceedings of the Joint 2009 International Fuzzy Systems Association World Congress and 2009 European Society of Fuzzy Logic and Technology Conference, Lisbon, Portugal, July 20-24, 2009.en
dc.relation.ispartofeditorSousa, J.M.C.
dc.relation.ispartofeditorKaymak, U.
dc.relation.ispartofeditorDubois, D.
dc.relation.ispartofeditorCarvalho, J.P.
dc.relation.ispartofpublnameEuropean Society for Fuzzy Logic and Technologyen
dc.relation.ispartofdate2009
dc.relation.ispartofpages1930en
dc.subject.ddclabelRecherche opérationnelleen
dc.relation.ispartofisbn978-989-95079-6-8en
dc.relation.conftitle13th International Fuzzy Systems Association World Congress and 6th International Conference of the European Society for Fuzzy Logic and Technology Conference (IFSA-EUSFLAT 2009)en
dc.relation.confdate2009-07
dc.relation.confcityLisbonneen
dc.relation.confcountryPortugalen
dc.relation.forthcomingnonen


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