Aggregation function; Mean; Nonadditive integral; Choquet integral
Abstract :
[en] 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).
Disciplines :
Quantitative methods in economics & management Mathematics
Identifiers :
UNILU:UL-ARTICLE-2010-880
Author, co-author :
Grabisch, Michel; Université Paris 1 Panthéon-Sorbonne, France > Paris School of Economics
Marichal, Jean-Luc ; University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Mathematics Research Unit
Mesiar, Radko; Slovak University of Technology, Bratislava, Slovakia > Faculty of Civil Engineering > Dept. of Mathematics and Descriptive Geometry
Pap, Endre; University of Novi Sad, Serbia > Department of Mathematics and Informatics
Language :
English
Title :
Aggregation functions: Means
Publication date :
01 January 2011
Journal title :
Information Sciences
ISSN :
0020-0255
Publisher :
Elsevier Science, New York, United States - New York
