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Article Dans Une Revue Information Sciences Année : 1999

Interaction transform of a set function over a finite set

Dieter Denneberg
  • Fonction : Auteur

Résumé

The paper introduces a new transform of set functions over a finite set, which is linear and invertible as the well-known Möbius transform in combinatorics. This transform leads to the interaction index, a central concept in multicriteria decision making. The interaction index of a singleton happens to be the Shapley value of the set function or, in terms of cooperative game theory, of the value function of the game. Properties of this new transform are studied in detail, and some illustrative examples are given.

Dates et versions

hal-01195691 , version 1 (08-09-2015)

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Citer

Dieter Denneberg, Michel Grabisch. Interaction transform of a set function over a finite set. Information Sciences, 1999, 121 (1-2), pp.149-170. ⟨10.1016/S0020-0255(99)00099-7⟩. ⟨hal-01195691⟩
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