On non-monotonic Choquet integrals as aggregation functions

Marta Cardin and Silvio Giove ()
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Silvio Giove: Department of Applied Mathematics, University of Venice

No 156, Working Papers from Department of Applied Mathematics, Università Ca' Foscari Venezia

Abstract: This paper deals with non-monotonic Choquet integral, a generalization of the regular Choquet integral. The discrete non-monotonic Choquet integral is considered under the viewpoint of aggregation. In particular we give an axiomatic characterization of the class of non-monotonic Choquet integrals.We show how the Shapley index, in contrast with the monotonic case, can assume positive values if the criterion is in average a benefit, depending on its effect in all the possible coalition coalitions, and negative values in the opposite case of a cost criterion.

JEL-codes: C60 (search for similar items in EconPapers)
Pages: 12 pages
Date: 2007-10
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