Article (Scientific journals)
Characterization of the ordered weighted averaging operators
Fodor, Janos; Marichal, Jean-Luc; Roubens, Marc
1995In IEEE Transactions on Fuzzy Systems, 3 (2), p. 236-240
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Keywords :
aggregation functions; interval scale; invariance; ordered weighted averaging operator
Abstract :
[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
Publication date :
May 1995
Journal title :
IEEE Transactions on Fuzzy Systems
ISSN :
1063-6706
eISSN :
1941-0034
Publisher :
IEEE
Volume :
3
Issue :
2
Pages :
236-240
Peer reviewed :
Peer Reviewed verified by ORBi
Funders :
University of Liège, Belgium
Available on ORBilu :
since 16 November 2013

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