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Pseudo-polynomial functions over finite distributive lattices

dc.contributor.authorWaldhauser, Tamás
dc.contributor.authorCouceiro, Miguel
HAL ID: 1498
dc.date.accessioned2012-09-28T07:56:05Z
dc.date.available2012-09-28T07:56:05Z
dc.date.issued2014
dc.identifier.urihttps://basepub.dauphine.fr/handle/123456789/10322
dc.language.isoenen
dc.subjectSugeno integralen
dc.subjectdistributive latticeen
dc.subjectlattice polynomial functionen
dc.subjectpseudo-polynomial functionen
dc.subjectaxiomatizationen
dc.subjectfactorizationen
dc.subjectmulticriteria decision makingen
dc.subject.ddc512en
dc.titlePseudo-polynomial functions over finite distributive latticesen
dc.typeArticle accepté pour publication ou publié
dc.contributor.editoruniversityotherUniversity of Szeged;
dc.description.abstractenIn this paper we consider an aggregation model f: X1 x ... x Xn --> Y for arbitrary sets X1, ..., Xn and a finite distributive lattice Y, factorizable as f(x1, ..., xn) = p(u1(x1), ..., un(xn)), where p is an n-variable lattice polynomial function over Y, and each uk is a map from Xk to Y. The resulting functions are referred to as pseudo-polynomial functions. We present an axiomatization for this class of pseudo-polynomial functions which differs from the previous ones both in flavour and nature, and develop general tools which are then used to obtain all possible such factorizations of a given pseudo-polynomial function.en
dc.relation.isversionofjnlnameFuzzy Sets and Systems
dc.relation.isversionofjnlvol239
dc.relation.isversionofjnldate2014
dc.relation.isversionofjnlpages21-34
dc.relation.isversionofdoihttp://dx.doi.org/10.1016/j.fss.2012.09.007
dc.identifier.urlsitehttp://arxiv.org/abs/1110.1811en
dc.relation.isversionofjnlpublisherElsevieren
dc.subject.ddclabelAlgèbreen


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