aggregation functions; interval scale; invariance; algebraic properties of aggregation operators; multiple criteria decision making
Abstract :
[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 :
Mathematics Quantitative methods in economics & management
Author, co-author :
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
Language :
English
Title :
Characterization of some aggregation functions stable for positive linear transformations
Publication date :
October 1996
Event name :
44th Meeting of the Eur. Working Group "Multiple Criteria Decision Aiding" (MCDA 44)
Event place :
Brussels, Belgium
Event date :
from 03-10-1996 to 04-10-1996
Audience :
International
Main work title :
Proc. 44th Meeting of the Eur. Working Group "Multiple Criteria Decision Aiding" (MCDA 44), Brussels, Belgium, Oct. 3-4, 1996