Paper published in a book (Scientific congresses, symposiums and conference proceedings)
Aggregation on finite ordinal scales by scale independent functions
MARICHAL, Jean-Luc; Mesiar, Radko
2004 • In Proc. 10th Int. Conf. on Information Processing and Management of Uncertainty in Knowledge-Based Systems (IPMU 2004), Perugia, Italy, July 4-9, 2004
[en] We give an interpretation of order invariant functions as scale independent functions for the aggregation on finite ordinal scales. More precisely, we show how order invariant functions can act, through discrete representatives, on ordinal scales represented by finite chains. In particular, this interpretation allows us to justify the continuity property for certain order invariant functions in a natural way.
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
Language :
English
Title :
Aggregation on finite ordinal scales by scale independent functions
Publication date :
July 2004
Event name :
10th Int. Conf. on Information Processing and Management of Uncertainty in Knowledge-Based Systems (IPMU 2004)
Event place :
Perugia, Italy
Event date :
from 04-07-2004 to 09-07-2004
Audience :
International
Main work title :
Proc. 10th Int. Conf. on Information Processing and Management of Uncertainty in Knowledge-Based Systems (IPMU 2004), Perugia, Italy, July 4-9, 2004
Pages :
1243-1250
Peer reviewed :
Peer reviewed
Name of the research project :
F2R-SMA-PUL-03AADC > Aide à la décision / classification > 01/01/2003 – 31/12/2004 > BISDORFF Raymond
