[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 :
Computer science Mathematics
Identifiers :
UNILU:UL-CHAPTER-2010-163
Author, co-author :
Marichal, Jean-Luc ; University of Luxembourg > Faculty of Law, Economics and Finance > Applied Mathematics Unit (SMA)
Mesiar, Radko; Slovak Technical University, Bratislava, Slovakia > Department of Mathematics
Rückschlossová, Tatiana; Slovak Technical University, Bratislava, Slovakia > Department of Mathematics
External co-authors :
yes
Language :
English
Title :
A complete description of comparison meaningful functions
Publication date :
October 2004
Event name :
DIMACS-LAMSADE Joint Workshop on Computer Science and Decision Theory