Cumulative distribution functions and moments of weighted lattice polynomials

Marichal, Jean-Luc

Reference : Cumulative distribution functions and moments of weighted lattice polynomials


	Document type :	Scientific congresses, symposiums and conference proceedings : Paper published in a book
	Discipline(s) :	Physical, chemical, mathematical & earth Sciences : Mathematics Engineering, computing & technology : Civil engineering
	To cite this reference:	http://hdl.handle.net/10993/7270

Title :	Cumulative distribution functions and moments of 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 :	Feb-2006
Main document title :	Proc. 27th Linz Seminar on Fuzzy Set Theory (LINZ 2006): Preferences, Games and Decisions
Editor :	Fodor, János
	Klement, Erich Peter
	Roubens, Marc
Publisher :	Universitätsdirektion, Johannes Kepler Universität
Pages :	95-100
Peer reviewed :	Yes
On invitation :	No
Audience :	International
City :	Linz
Country :	Austria
Event name :	27th Linz Seminar on Fuzzy Set Theory (LINZ 2006)
Event date :	from 07-02-2006 to 11-02-2006
Event organizer :	Erich Peter Klement (Chairman), Fuzzy Logic Laboratorium Linz-Hagenberg
Event place (city) :	Linz
Event country :	Austria
Keywords :	[en] weighted lattice polynomial ; lattice polynomial ; Sugeno integral ; order statistic ; cumulative distribution function ; moment
Abstract :	[en] We give the cumulative distribution functions, the expected values, and the moments of weighted lattice polynomials when regarded as real functions. Since weighted lattice polynomial functions include Sugeno integrals, lattice polynomial functions, and order statistics, our results encompass the corresponding formulas for these particular functions.
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/10993/7270
Other URL :	http://www.flll.jku.at/div/research/linz2006/index.html
	http://www.flll.jku.at/div/research/linz2006/LINZ2006Abstracts.pdf

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	File	Commentary	Version	Size	Access
Open access	MomentsWeightedLatticePolynomialsLINZ06.pdf		Author postprint	152.11 kB	View/Open
Open access	PV-MomentsWeightedLatticePolynomialsLINZ06.pdf		Publisher postprint	126.37 kB	View/Open

Additional material(s):

	File	Commentary	Size	Access
Open access	MarichalLinz2006WO.pdf	Slides	252 kB	View/Open

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