[en] This paper deals with the characterization of two classes of monotonic and neutral (MN) aggregation operators. The first class corresponds to (MN) aggregators which are stable for the same positive linear transformations and presents the ordered linkage property. The second class deals with (MN)-idempotent aggregators which are stable for positive linear transformations with the same unit, independent zeroes and ordered values. These two classes correspond to the weighted ordered averaging operator (OWA) introduced by Yager in 1988. It is also shown that the OWA aggregator can be expressed as a Choquet integral.
Disciplines :
Mathematics Quantitative methods in economics & management
Author, co-author :
Fodor, Janos; Eötvös Lorand University, Budapest, Hungary
Marichal, Jean-Luc ; University of Liège, Belgium > Department of Management (FEGSS)
Roubens, Marc; University of Liège, Belgium > Institute of Mathematics
Language :
English
Title :
Characterization of the ordered weighted averaging operators