Aggregation functions

Means

Michel Grabisch, Jean Luc Marichal, Radko Mesiar, E. Pap

Research output: Contribution to journalArticle

147 Citations (Scopus)

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).

Original languageEnglish
Pages (from-to)1-22
Number of pages22
JournalInformation Sciences
Volume181
Issue number1
DOIs
Publication statusPublished - Jan 1 2011

Fingerprint

Aggregation Function
Aggregation
Agglomeration
Averaging

Keywords

  • Aggregation function
  • Choquet integral
  • Mean
  • Nonadditive integral

ASJC Scopus subject areas

  • Artificial Intelligence
  • Software
  • Control and Systems Engineering
  • Theoretical Computer Science
  • Computer Science Applications
  • Information Systems and Management

Cite this

Grabisch, M., Marichal, J. L., Mesiar, R., & Pap, E. (2011). Aggregation functions: Means. Information Sciences, 181(1), 1-22. https://doi.org/10.1016/j.ins.2010.08.043

Aggregation functions : Means. / Grabisch, Michel; Marichal, Jean Luc; Mesiar, Radko; Pap, E.

In: Information Sciences, Vol. 181, No. 1, 01.01.2011, p. 1-22.

Research output: Contribution to journalArticle

Grabisch, M, Marichal, JL, Mesiar, R & Pap, E 2011, 'Aggregation functions: Means', Information Sciences, vol. 181, no. 1, pp. 1-22. https://doi.org/10.1016/j.ins.2010.08.043
Grabisch, Michel ; Marichal, Jean Luc ; Mesiar, Radko ; Pap, E. / Aggregation functions : Means. In: Information Sciences. 2011 ; Vol. 181, No. 1. pp. 1-22.
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