Paper published in a book (Scientific congresses, symposiums and conference proceedings)
Cumulative distribution functions and moments of weighted lattice polynomials
MARICHAL, Jean-Luc
2006 • In Fodor, János; Klement, Erich Peter; Roubens, Marc (Eds.) Proc. 27th Linz Seminar on Fuzzy Set Theory (LINZ 2006): Preferences, Games and Decisions
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.
Disciplines :
Mathematics Civil engineering
Author, co-author :
MARICHAL, Jean-Luc ; University of Luxembourg > Faculty of Law, Economics and Finance > Applied Mathematics Unit (SMA)
Language :
English
Title :
Cumulative distribution functions and moments of weighted lattice polynomials
Publication date :
February 2006
Event name :
27th Linz Seminar on Fuzzy Set Theory (LINZ 2006)
Event organizer :
Erich Peter Klement (Chairman), Fuzzy Logic Laboratorium Linz-Hagenberg
Event place :
Linz, Austria
Event date :
from 07-02-2006 to 11-02-2006
Audience :
International
Main work 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, Linz, Austria
