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Characterization of some stable aggregation functions

Authors
Publication Date
Keywords
  • Logical Connectives
  • Aggregation Functions
  • Ordinal And Interval Scales
  • Stability
  • Physical
  • Chemical
  • Mathematical & Earth Sciences :: Mathematics [G03]
  • Physique
  • Chimie
  • Mathématiques & Sciences De La Terre :: Mathématiques [G03]
  • Business & Economic Sciences :: Quantitative Methods In Economics & Management [B09]
  • Sciences économiques & De Gestion :: Méthodes Quantitatives En économie & Gestion [B09]

Abstract

We characterize the class of ordinaly stable, continuous, neutral (symmetric) and monotonic aggregators together with the class of associative or decomposable, continuous, neutral and monotonic aggregation operators which are stable for any positive linear transformation.

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