[en] set function ; pseudo-Boolean function ; Möbius inversion formula ; Shapley and Banzhaf values ; interaction indice ; game theory ; multicriteria decision making
[en] 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.