New axiomatizations of the Shapley interaction index for bi-capacitiesReport as inadecuate




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1 Keleti Faculty of Economics 2 CES - Centre d-├ęconomie de la Sorbonne

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.





Author: Fabien Lange - Michel Grabisch -

Source: https://hal.archives-ouvertes.fr/



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