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Article Dans Une Revue Information Sciences Année : 2006

Interaction transform for bi-set functions over a finite set

Fabien Lange
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Résumé

Set functions appear as a useful tool in many areas of decision making and operations research, and several linear invertible transformations have been introduced for set functions, such as the Möbius transform and the interaction transform. The present paper establish similar transforms and their relationships for bi-set functions, i.e. functions of two disjoint subsets. Bi-set functions have been recently introduced in decision making (bi-capacities) and game theory (bi-cooperative games), and appear to open new areas in these fields.
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Dates et versions

hal-00186891 , version 1 (12-11-2007)

Identifiants

Citer

Fabien Lange, Michel Grabisch. Interaction transform for bi-set functions over a finite set. Information Sciences, 2006, 176 (16), pp.2279-2303. ⟨10.1016/j.ins.2005.10.004⟩. ⟨hal-00186891⟩
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