Super- and subadditive constructions of aggregation functions

Alexandra Siposova, Ladislav Sipeky, Fabio Rindone, Salvatore Greco, Radko Mesiar

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Two construction methods for aggregation functions based on a restricted a priori known decomposition set and decomposition weighing function are introduced and studied. The outgoing aggregation functions are either superadditive or subadditive. Several examples, including illustrative figures, show the potential of the introduced construction methods. Our approach generalizes several known constructions and optimization methods, including decomposition and superdecomposition integrals.
Original languageEnglish
Pages (from-to)49-54
JournalInformation Fusion
Early online date27 Jun 2016
Publication statusPublished - Mar 2017


  • aggregation function
  • subadditive transformation
  • superadditive trans- formation
  • decomposition integral


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