Sugeno utility functions I: axiomatizations

  • Authors:
  • Miguel Couceiro;Tamás Waldhauser

  • Affiliations:
  • University of Luxembourg, Luxembourg;University of Luxembourg, Luxembourg and Bolyai Institute, University of Szeged, Szeged, Hungary

  • Venue:
  • MDAI'10 Proceedings of the 7th international conference on Modeling decisions for artificial intelligence
  • Year:
  • 2010

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Abstract

In this paper we consider a multicriteria aggregation model where local utility functions of different sorts are aggregated using Sugeno integrals, and which we refer to as Sugeno utility functions. We propose a general approach to study such functions via the notion of pseudo-Sugeno integral (or, equivalently, pseudo-polynomial function), which naturally generalizes that of Sugeno integral, and provide several axiomatizations for this class of functions.