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Article Dans Une Revue Mathematics of Operations Research Année : 2000

Equivalent Representations of Set Functions

Jean-Luc Marichal
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Marc Roubens
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Résumé

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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Dates et versions

hal-01194919 , version 1 (07-09-2015)

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Michel Grabisch, Jean-Luc Marichal, Marc Roubens. Equivalent Representations of Set Functions. Mathematics of Operations Research, 2000, 25 (2), pp.157-178. ⟨10.1287/moor.25.2.157.12225⟩. ⟨hal-01194919⟩
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