[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 :
Mathematics Quantitative methods in economics & management
Author, co-author :
Marichal, Jean-Luc ; University of Luxembourg > Faculty of Law, Economics and Finance > Applied Mathematics Unit (SMA)
Language :
English
Title :
The weighted lattice polynomials as aggregation functions
Publication date :
March 2006
Event name :
63rd Meeting of the Eur. Working Group "Multiple Criteria Decision Aiding" (MCDA 63)
Event place :
Porto, Portugal
Event date :
from 30-03-2006 to 31-03-2006
Audience :
International
Main work title :
Proc. 63rd Meeting of the Eur. Working Group "Multiple Criteria Decision Aiding" (MCDA 63)
