Paper published in a book (Scientific congresses, symposiums and conference proceedings)
Weighted lattice polynomials
Marichal, Jean-Luc
2006 • In Proc. 11th Int. Conf. on Information Processing and Management of Uncertainty in Knowledge-Based Systems (IPMU 2006), Paris, France, July 2-7, 2006
[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 :
Quantitative methods in economics & management Mathematics
Author, co-author :
Marichal, Jean-Luc ; University of Luxembourg > Faculty of Law, Economics and Finance > Applied Mathematics Unit (SMA)
Language :
English
Title :
Weighted lattice polynomials
Publication date :
July 2006
Event name :
11th Int. Conf. on Information Processing and Management of Uncertainty in Knowledge-Based Systems (IPMU 2006)
Event place :
Paris, France
Event date :
form 02-07-2006 to 07-07-2006
Audience :
International
Main work title :
Proc. 11th Int. Conf. on Information Processing and Management of Uncertainty in Knowledge-Based Systems (IPMU 2006), Paris, France, July 2-7, 2006