Reference : On three properties of the discrete Choquet integral
Scientific congresses, symposiums and conference proceedings : Paper published in a book
Physical, chemical, mathematical & earth Sciences : Mathematics Business & economic sciences : Quantitative methods in economics & management
http://hdl.handle.net/10993/9516
On three properties of the discrete Choquet integral
English
Couceiro, Miguel[University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Mathematics Research Unit]
Marichal, Jean-Luc[University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Mathematics Research Unit >]
2011
32nd Linz Seminar on Fuzzy Set Theory (LINZ 2011) - Decision Theory: Qualitative and Quantitative Approaches
Dubois, Didier
Grabisch, Michel
Mesiar, Radko
Klement, Erich Peter
29-32
Yes
No
International
32nd Linz Seminar on Fuzzy Set Theory (LINZ 2011)
from 01-02-2011 to 05-02-2011
Erich Peter Klement (Chairman), Johannes Kepler University Linz
Linz
Austria
[en] Three important properties in aggregation theory are investigated, namely horizontal min-additivity, horizontal max-additivity, and comonotonic additivity, which are defined by certain relaxations of the Cauchy functional equation in several variables. We show that these properties are equivalent and we completely describe the functions characterized by them. By adding some regularity conditions, these functions coincide with the Lovász extensions vanishing at the origin, which subsume the discrete Choquet integrals.
[University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Mathematics Research Unit]
