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See detailEquivalent representations of set functions
Grabisch, Michel; Marichal, Jean-Luc UL; Roubens, Marc

in Mathematics of Operations Research (2000), 25(2), 157-178

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 ... [more ▼]

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. [less ▲]

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