Cumulative distribution functions and moments of weighted lattice polynomials
English
Marichal, Jean-Luc[University of Luxembourg > Faculty of Law, Economics and Finance > Applied Mathematics Unit (SMA)]
Feb-2006
Proc. 27th Linz Seminar on Fuzzy Set Theory (LINZ 2006): Preferences, Games and Decisions
Fodor, János
Klement, Erich Peter
Roubens, Marc
Universitätsdirektion, Johannes Kepler Universität
95-100
Yes
No
International
Linz
Austria
27th Linz Seminar on Fuzzy Set Theory (LINZ 2006)
from 07-02-2006 to 11-02-2006
Erich Peter Klement (Chairman), Fuzzy Logic Laboratorium Linz-Hagenberg
Linz
Austria
[en] weighted lattice polynomial ; lattice polynomial ; Sugeno integral ; order statistic ; cumulative distribution function ; moment
[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.
University of Luxembourg - UL
Recherches méthodologiques et mathématiques en aide à la décision et à la classification > 01/01/2005 – 12/12/2007 > BISDORFF Raymond