Equivalent Representations of a Set Function with Applications to Game Theory and Multicriteria Decision Making

نویسندگان

  • Michel Grabisch
  • Jean-Luc Marichal
  • Marc Roubens
چکیده

This paper introduces four alternative representations of a set function: the Möbius transformation, the co-Möbius transformation, and the interactions between elements of any subset of a given set as extensions of Shapley and Banzhaf values. The links between the five equivalent representations of a set function are emphasized in this presentation.

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تاریخ انتشار 2002