[en] This paper deals with a characterization of a class of aggregation operators. This class concerns operators which are symmetric, increasing, stable for the same positive linear transformations and present a property close to the bisymmetry property: the ordered bisymmetry property. It is proved that the class investigated contains exactly the ordered weighted averaging operators (OWA) introduced by Yager in 1988.
Disciplines :
Mathematics
Identifiers :
UNILU:UL-ARTICLE-2010-365
Author, co-author :
Marichal, Jean-Luc ; University of Liège, Belgium > Department of Management (FEGSS)
Mathonet, Pierre ; University of Liège, Belgium > Institute of Mathematics
Language :
English
Title :
A characterization of the ordered weighted averaging functions based on the ordered bisymmetry property