Approximation of Fuzzy Measures Using Second Order Measures: Estimation of Andness Bounds

  • Marta Cardin
  • Silvio Giove
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 8256)


In this paper we analyze the compensation property of a second order fuzzy measure in the context of a multi-attribute problem. In particular, we show that the disjunction/conjunction behavior (andness/orness) changes with the number of criteria to be aggregated. Interpreting the spread between the maximum and the minimum orness as a measure of the representation capability, we obtain two bounds in function of which asymptotically converge to a limit interval.


Fuzzy measures second order measures Choquet integral andness index OWA 


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Copyright information

© Springer International Publishing Switzerland 2013

Authors and Affiliations

  • Marta Cardin
    • 1
  • Silvio Giove
    • 1
  1. 1.Department of EconomicsUniversity Cá Foscari of VeniceItaly

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