Aggregation functions: Means

Michel Grabisch, Jean Luc Marichal, Radko Mesiar, Endre Pap

Research output: Contribution to journalArticle

165 Citations (Scopus)


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
Issue number1
Publication statusPublished - Jan 1 2011


  • Aggregation function
  • Choquet integral
  • Mean
  • Nonadditive integral

ASJC Scopus subject areas

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

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  • Cite this

    Grabisch, M., Marichal, J. L., Mesiar, R., & Pap, E. (2011). Aggregation functions: Means. Information Sciences, 181(1), 1-22.