Reference : Characterization of the ordered weighted averaging operators
Scientific journals : Article
Physical, chemical, mathematical & earth Sciences : Mathematics
Business & economic sciences : Quantitative methods in economics & management
Characterization of the ordered weighted averaging operators
Fodor, Janos mailto [Eötvös Lorand University, Budapest, Hungary]
Marichal, Jean-Luc mailto [University of Liège, Belgium > Department of Management (FEGSS)]
Roubens, Marc [University of Liège, Belgium > Institute of Mathematics]
IEEE Transactions on Fuzzy Systems
Yes (verified by ORBilu)
[en] aggregation functions ; interval scale ; invariance ; ordered weighted averaging operator
[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.
University of Liège, Belgium
Researchers ; Professionals ; Students

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