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Weighted lattice polynomials
Marichal, Jean-Luc
2006In Proc. 11th Int. Conf. on Information Processing and Management of Uncertainty in Knowledge-Based Systems (IPMU 2006), Paris, France, July 2-7, 2006
Peer reviewed
 

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Keywords :
weighted lattice polynomial; lattice polynomial; bounded distributive lattice; discrete Sugeno integral
Abstract :
[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
Pages :
1740-1744
Peer reviewed :
Peer reviewed
Additional URL :
Name of the research project :
Recherches méthodologiques et mathématiques en aide à la décision et à la classification > 01/01/2005 – 12/12/2007 > BISDORFF Raymond
Funders :
University of Luxembourg - UL
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since 17 October 2013

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