[en] We define and investigate the scale independent aggregation functions that are meaningful to aggregate finite ordinal numerical scales. Here scale independence means that the functions always have discrete representatives when the ordinal scales are considered as totally ordered finite sets. We also show that those scale independent functions identify with the so-called order invariant functions, which have been described recently. In particular, this identification allows us to justify the continuity property for certain order invariant functions in a natural way.
Disciplines :
Méthodes quantitatives en économie & gestion Mathématiques
Identifiants :
UNILU:UL-ARTICLE-2010-387
Auteur, co-auteur :
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
Langue du document :
Anglais
Titre :
Aggregation on finite ordinal scales by scale independent functions
Date de publication/diffusion :
mai 2004
Titre du périodique :
Order: A Journal on the Theory of Ordered Sets and its Applications
ISSN :
0167-8094
eISSN :
1572-9273
Maison d'édition :
Kluwer Academic Publishers
Volume/Tome :
21
Fascicule/Saison :
2
Pagination :
155-180
Peer reviewed :
Peer reviewed
Intitulé du projet de recherche :
F2R-SMA-PUL-03AADC > Aide à la décision / classification > 01/01/2003 – 31/12/2004 > BISDORFF Raymond
Organisme subsidiant :
David M. Kennedy Center for International Studies, Brigham Young University, USA University of Luxembourg - UL
