Equivalent Representations of Set Functions
Michel Grabisch, Jean‐Luc Marichal, Marc Roubens · Mathematics of Operations Research · 2000
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.