4.7 Article

Aggregation functions: Means

Journal

INFORMATION SCIENCES
Volume 181, Issue 1, Pages 1-22

Publisher

ELSEVIER SCIENCE INC
DOI: 10.1016/j.ins.2010.08.043

Keywords

Aggregation function; Mean; Nonadditive integral; Choquet integral

Funding

  1. EGIDE, Paris [11092SF]
  2. bilateral project between Slovakia and Serbia [SK-SRB-19]
  3. University of Luxembourg
  4. Slovak Grant Agency [APVV-0012-07, MSMVZ 6198898701]
  5. National Grants MNTRS (Serbia) [174009]
  6. Provincial Secretariat for Science and Technological Development of Vojvodina

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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). (C) 2010 Elsevier Inc. All rights reserved.

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