Equivalent Representations of Set Functions

Authors:
Michel Grabisch;Jean-Luc Marichal;Marc Roubens
Affiliations:
-;-;-
Venue:
Mathematics of Operations Research
Year:
2000

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Abstract

This paper introduces four alternative representations of a set function: the M脙露bius transformation, the co-M脙露bius 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.