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Aggregation functions: means. (English) Zbl 1206.68298

Summary: This two-part state-of-the-art overview of aggregation theory summarizes the essential information concerning aggregation issues. An 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 multiple arities (extended means).

MSC:

68T37 Reasoning under uncertainty in the context of artificial intelligence
28E10 Fuzzy measure theory
94D05 Fuzzy sets and logic (in connection with information, communication, or circuits theory)
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