[en] Comparison meaningful functions acting on some real interval E are completely described as transformed coordinate projections on minimal invariant subsets. The case of monotone comparison meaningful functions is further specified. Several already known results for comparison meaningful functions and invariant functions are obtained as consequences of our description.
Disciplines :
Mathematics Quantitative methods in economics & management
Author, co-author :
MARICHAL, Jean-Luc ; University of Luxembourg > Faculty of Law, Economics and Finance > Applied Mathematics Unit (SMA)
Mesiar, Radko; Slovak University of Technology, Bratislava, Slovakia > Dept. of Mathematics and Descriptive Geometry
Rückschlossová, Tatiana; Slovak University of Technology, Bratislava, Slovakia > Dept. of Mathematics and Descriptive Geometry
Language :
English
Title :
A complete description of comparison meaningful functions
Publication date :
July 2005
Event name :
3rd Int. Summer School on Aggregation Operators and their Applications (AGOP 2005)
Event place :
Lugano, Switzerland
Event date :
from 10-07-2005 to 15-07-2005
Audience :
International
Main work title :
Proc. 3rd Int. Summer School on Aggregation Operators and their Applications (AGOP 2005), Lugano, Switzerland
Pages :
73-77
Peer reviewed :
Peer reviewed
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
