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Characterizations of discrete Sugeno integrals as polynomial functions over distributive lattices

dc.contributor.authorMarichal, Jean-Luc
dc.contributor.authorCouceiro, Miguel
HAL ID: 1498
dc.date.accessioned2012-09-26T13:48:32Z
dc.date.available2012-09-26T13:48:32Z
dc.date.issued2010
dc.identifier.urihttps://basepub.dauphine.fr/handle/123456789/10228
dc.language.isoenen
dc.subjectDiscrete Sugeno integralen
dc.subjectDistributive latticeen
dc.subjectLattice polynomial functionen
dc.subjectNormal formen
dc.subjectMedian decompositionen
dc.subjectHomogeneityen
dc.subjectFunctional equationen
dc.subject.ddc512en
dc.titleCharacterizations of discrete Sugeno integrals as polynomial functions over distributive latticesen
dc.typeArticle accepté pour publication ou publié
dc.contributor.editoruniversityotherUniversite du Luxembourg;
dc.description.abstractenWe give several characterizations of discrete Sugeno integrals over bounded distributive lattices, as particular cases of lattice polynomial functions, that is, functions which can be represented in the language of bounded lattices using variables and constants. We also consider the subclass of term functions as well as the classes of symmetric polynomial functions and weighted infimum and supremum functions, and present their characterizations, accordingly. Moreover, we discuss normal form representations of these functions.en
dc.relation.isversionofjnlnameFuzzy Sets and Systems
dc.relation.isversionofjnlvol161en
dc.relation.isversionofjnlissue5en
dc.relation.isversionofjnldate2010
dc.relation.isversionofjnlpages694-707en
dc.relation.isversionofdoihttp://dx.doi.org/10.1016/j.fss.2009.10.008en
dc.identifier.urlsitehttp://arxiv.org/abs/0808.2619en
dc.relation.isversionofjnlpublisherElsevieren
dc.subject.ddclabelAlgèbreen
dc.relation.forthcomingnonen
dc.relation.forthcomingprintnonen


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