Aggregation functions: Means

Michel Grabisch, Jean-Luc Marichal (), Radko Mesiar and Endre Pap
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Jean-Luc Marichal: Mathematics Research Unit - uni.lu - Université du Luxembourg = University of Luxembourg = Universität Luxemburg
Radko Mesiar: Department of Mathematics - Slovak Technical University
Endre Pap: Department of Mathematics and Informatics - University of Novi Sad

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Abstract: 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).

Date: 2011-01
Note: View the original document on HAL open archive server: https://hal.science/hal-00539028v1
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Published in Information Sciences, 2011, 181 (1), pp.1-22. ⟨10.1016/j.ins.2010.08.043⟩

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Working Paper: Aggregation functions: Means (2011)
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Persistent link: https://EconPapers.repec.org/RePEc:hal:journl:hal-00539028

DOI: 10.1016/j.ins.2010.08.043

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