An axiomatic approach to finite means

María J. Campión, Juan C. Candeal, Raquel G. Catalán, Alfio Giarlotta, Salvatore Greco, Esteban Induráin, Javier Montero

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In this paper we analyze the notion of a finite mean from an axiomatic point of view. We discuss several axiomatic alternatives, with the aim of establishing a universal definition reconciling all of them and exploring theoretical links to some branches of Mathematics as well as to multidisciplinary applications.
Original languageEnglish
Pages (from-to)12-28
Number of pages17
JournalInformation Sciences
Early online date9 May 2018
Publication statusPublished - 1 Aug 2018


  • means
  • axiomatics
  • iterativity
  • totally ordered sets
  • lattices
  • semigroups
  • topological spaces
  • binary operations
  • functional equations
  • social choice
  • ranking sets of objects
  • fuzzy set theory


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