[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
Identifiers :
UNILU:UL-ARTICLE-2010-388
Author, co-author :
MARICHAL, Jean-Luc ; University of Luxembourg > Faculty of Law, Economics and Finance (FDEF) > Applied Mathematics Unit (SMA)
Mesiar, Radko; Slovak Technical University, Bratislava, Slovakia > Department of Mathematics
Rückschlossová, Tatiana; Slovak Technical University, Bratislava, Slovakia > Department of Mathematics
Language :
English
Title :
A complete description of comparison meaningful functions
Publication date :
May 2005
Journal title :
Aequationes Mathematicae
ISSN :
0001-9054
eISSN :
1420-8903
Publisher :
Springer, Basel, Switzerland
Volume :
69
Issue :
3
Pages :
309-320
Peer reviewed :
Peer Reviewed verified by ORBi
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
