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Aggregation functions: Means

By Michel Grabisch, Jean-Luc Marichal, Radko Mesiar and Endre Pap


The two-parts state-of-art overview of aggregation theory summarizes the essential information concerning aggregation issues. Overview of aggregation properties is given, including the basic classification of aggregation functions. In this first part, the stress is put on means, i.e., averaging aggregation functions, both with fixed arity (n-ary means) and with open arity (extended means).

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