Abstract
The power average provides an aggregation operator that allows argument values to support each other in the aggregation process. The properties of this operator are described. We see this mixes some of the properties of the mode with mean. Some formulations for the support function used in the power average are described. We extend this facility of empowerment to a wider class of mean operators such as the OWA and generalized mean.
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Yager, R.R. (2010). Information Fusion with the Power Average Operator. In: Greco, S., Marques Pereira, R.A., Squillante, M., Yager, R.R., Kacprzyk, J. (eds) Preferences and Decisions. Studies in Fuzziness and Soft Computing, vol 257. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-15976-3_25
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DOI: https://doi.org/10.1007/978-3-642-15976-3_25
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-15975-6
Online ISBN: 978-3-642-15976-3
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