Show simple item record

dc.contributor.authorMarichal, Jean-Luc
dc.contributor.authorCouceiro, Miguel
dc.date.accessioned2012-09-26T08:39:03Z
dc.date.available2012-09-26T08:39:03Z
dc.date.issued2009
dc.identifier.urihttps://basepub.dauphine.fr/handle/123456789/10187
dc.language.isoenen
dc.subjectcomonotonicityen
dc.subjectmedian decomposabilityen
dc.subjectstrong idempotencyen
dc.subjecthomogeneityen
dc.subjectstandard simplexen
dc.subjectnormal formen
dc.subjectterm functionen
dc.subjectdiscrete Sugeno integralen
dc.subjectLattice polynomial functionen
dc.subject.ddc515en
dc.titleAxiomatizations of quasi-polynomial functions on bounded chainsen
dc.typeArticle accepté pour publication ou publié
dc.contributor.editoruniversityotherUniversite du Luxembourg;
dc.description.abstractenTwo emergent properties in aggregation theory are investigated, namely horizontal maxitivity and comonotonic maxitivity (as well as their dual counterparts) which are commonly defined by means of certain functional equations. We completely describe the function classes axiomatized by each of these properties, 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 give further axiomatizations for this class both in terms of functional equations and natural relaxations of homogeneity and median decomposability. As noteworthy particular cases, we investigate the subclasses of quasi-term functions and quasi-weighted maximum and minimum functions, and provide characterizations accordingly.en
dc.relation.isversionofjnlnameAequationes Mathematicae
dc.relation.isversionofjnlvol78en
dc.relation.isversionofjnlissue1-2en
dc.relation.isversionofjnldate2009
dc.relation.isversionofjnlpages195-213en
dc.relation.isversionofdoihttp://dx.doi.org/10.1007/s00010-009-2969-7en
dc.identifier.urlsitehttp://arxiv.org/abs/0811.3913
dc.relation.isversionofjnlpublisherSpringeren
dc.subject.ddclabelAnalyseen
dc.relation.forthcomingnonen
dc.relation.forthcomingprintnonen


Files in this item

FilesSizeFormatView

There are no files associated with this item.

This item appears in the following Collection(s)

Show simple item record