CPTS-integrals (Cumulative Prospect Theory Sugeno integral) are agregation functions that return a global rating when the evaluations are given on a bipolar scale. This paper presents the problem of the elicitation of CPTS-integrals agreeing with a data set composed of pairs concerning some criteria and a global evaluation. Moreover the set of fuzzy measures which are solutions of this inverse problem is identified. When the elicitation of one CPTS-integral is not possible, a set of family of CPTS-integrals is proposed.


S-integral CPTS-integral fuzzy measures bipolar scale 


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© Springer-Verlag Berlin Heidelberg 2012

Authors and Affiliations

  • Agnès Rico
    • 1
  • Michio Sugeno
    • 2
  1. 1.ERICUniversité de LyonLyonFrance
  2. 2.European Centre for Soft ComputingMieres-AsturiasSpain

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