New axiomatizations of the Shapley interaction index for bi-capacities

Fabien Lange () and Michel Grabisch
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Fabien Lange: Keleti Faculty of Economics - Budapest Tech

Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) from HAL

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.

Date: 2011
New Economics Papers: this item is included in nep-gth
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Published in Fuzzy Sets and Systems, 2011, pp.64-75

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Working Paper: New axiomatizations of the Shapley interaction index for bi-capacities (2011)
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Persistent link: https://EconPapers.repec.org/RePEc:hal:cesptp:hal-00625355

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