Reference : Weighted lattice polynomials

	Document type :	Scientific congresses, symposiums and conference proceedings : Paper published in a book
	Discipline(s) :	Physical, chemical, mathematical & earth Sciences : Mathematics Business & economic sciences : Quantitative methods in economics & management
	To cite this reference:	http://hdl.handle.net/10993/8757

Title :	Weighted lattice polynomials
Language :	English
Author, co-author :	Marichal, Jean-Luc [University of Luxembourg > Faculty of Law, Economics and Finance > Applied Mathematics Unit (SMA)]
Publication date :	Jul-2006
Main document 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 :	Yes
On invitation :	No
Audience :	International
Event name :	11th Int. Conf. on Information Processing and Management of Uncertainty in Knowledge-Based Systems (IPMU 2006)
Event date :	form 02-07-2006 to 07-07-2006
Event place (city) :	Paris
Event country :	France
Keywords :	[en] 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.
Funders :	University of Luxembourg - UL
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
Target :	Researchers ; Professionals ; Students
Permalink :	http://hdl.handle.net/10993/8757
Other URL :	http://ipmu2006.lip6.fr/

	File(s) associated to this reference
	Fulltext file(s): File Commentary Version Size Access Open access WeightedLatticePolynomialsIPMU2006.pdf Author postprint 116.24 kB View/Open Limited access PV-WeightedLatticePolynomialsIPMU2006.pdf Publisher postprint 247.36 kB Request a copy Additional material(s): File Commentary Size Access Open access MarichalIPMU2006WO.pdf Slides 109.17 kB View/Open Open access affiche2.pdf Call for papers 483.77 kB View/Open

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