aggregation functions; interval scale; invariance; algebraic properties of aggregation operators; multiple criteria decision making
Résumé :
[en] This paper deals with the characterization of some classes of aggregation functions often used in multicriteria decision making problems. The common properties involved in these characterizations are “increasing monotonicity” and “stability for positive linear transformations”. Additional algebraic properties related to associativity allow to completely specify the functions.
Disciplines :
Méthodes quantitatives en économie & gestion Mathématiques
Auteur, co-auteur :
MARICHAL, Jean-Luc ; University of Liège, Belgium > Department of Management (FEGSS)
MATHONET, Pierre ; University of Liège, Belgium > Institute of Mathematics
Tousset, Eric; University of Liège, Belgium > Institute of Mathematics
Langue du document :
Anglais
Titre :
Characterization of some aggregation functions stable for positive linear transformations
Date de publication/diffusion :
octobre 1996
Nom de la manifestation :
44th Meeting of the Eur. Working Group "Multiple Criteria Decision Aiding" (MCDA 44)
Lieu de la manifestation :
Brussels, Belgique
Date de la manifestation :
from 03-10-1996 to 04-10-1996
Manifestation à portée :
International
Titre de l'ouvrage principal :
Proc. 44th Meeting of the Eur. Working Group "Multiple Criteria Decision Aiding" (MCDA 44), Brussels, Belgium, Oct. 3-4, 1996
