Aggregation functions: Means

Authors:
Michel Grabisch;Jean-Luc Marichal;Radko Mesiar;Endre Pap
Affiliations:
Université Paris I Panthéon-Sorbonne, Paris School of Economics, 106-112, Boulevard de l'Hôpital, 75013 Paris, France;University of Luxembourg Mathematics Research Unit 6, rue Coudenhove-Kalergi, L-1359 Luxembourg-Kirchberg, Luxembourg;Slovak University of Technology, Department of Mathematics, Radlinskeho 11, 81368 Bratislava, Slovakia and Ostrava University, Insitute for Research and Applications of Fuzzy Modelling, 30. dubna ...;University of Novi Sad, Faculty of Sciences and Mathematics, Department of Mathematics and Informatics, 21000 Novi Sad, Trg Dositeja Obradovića 4, Serbia
Venue:
Information Sciences: an International Journal
Year:
2011

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Abstract

This two-part state-of-the-art overview on aggregation theory summarizes the essential information concerning aggregation issues. An overview of aggregation properties is given, including the basic classification on 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).