The power average operator
IEEE Transactions on Systems Man and Cybernetics - Part A Systems and HumansPublished 1 January 2001
Ronald R. Yager
Citations746
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TL;DR
The power average is introduced to provide an aggregation operator which allows argument values to support each other in the aggregation process and the supported aggregation facility of empowerment is extended to a wider class of mean operators, such as the OWA (ordered weighted averaging) operator and the generalized mean operator.
Abstract
We introduce the power average to provide an aggregation operator which allows argument values to support each other in the aggregation process. The properties of this operator are described. We discuss the idea of a power median. We introduce some possible formulations for the support function used in the power average. We extend the supported aggregation facility of empowerment to a wider class of mean operators, such as the OWA (ordered weighted averaging) operator and the generalized mean operator.
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Computer ScienceDecision SciencesMathematics
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