New axiomatizations of the Shapley interaction index for bi-capacities

Abstract : Bi-capacities are a natural generalization of capacities (or fuzzy measures) in a context of decision making where underlying scales are bipolar. They are able to capture a wide variety of decision behaviours. After a short presentation of the basis structure, we introduce the Shapley value and the interaction index for capacities. Afterwards, the case of bi-capacities is studied with new axiomatizations of the interaction index.
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https://hal.archives-ouvertes.fr/hal-00625355
Contributor : Michel Grabisch <>
Submitted on : Wednesday, September 21, 2011 - 1:54:37 PM
Last modification on : Tuesday, March 27, 2018 - 11:48:05 AM
Long-term archiving on : Thursday, December 22, 2011 - 2:25:35 AM

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Fabien Lange, Michel Grabisch. New axiomatizations of the Shapley interaction index for bi-capacities. Fuzzy Sets and Systems, Elsevier, 2011, pp.64-75. ⟨hal-00625355⟩

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