[en] We define the concept of weighted lattice polynomials as lattice polynomials constructed from both variables and parameters. We provide equivalent forms of these functions in an arbitrary bounded distributive lattice. We also show that these functions include the class of discrete Sugeno integrals and that they are characterized by a remarkable median based decomposition formula.
Disciplines :
Mathématiques Méthodes quantitatives en économie & gestion
Auteur, co-auteur :
MARICHAL, Jean-Luc ; University of Luxembourg > Faculty of Law, Economics and Finance > Applied Mathematics Unit (SMA)
Langue du document :
Anglais
Titre :
The weighted lattice polynomials as aggregation functions
Date de publication/diffusion :
mars 2006
Nom de la manifestation :
63rd Meeting of the Eur. Working Group "Multiple Criteria Decision Aiding" (MCDA 63)
Lieu de la manifestation :
Porto, Portugal
Date de la manifestation :
from 30-03-2006 to 31-03-2006
Manifestation à portée :
International
Titre de l'ouvrage principal :
Proc. 63rd Meeting of the Eur. Working Group "Multiple Criteria Decision Aiding" (MCDA 63)
