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On non-monotonic Choquet integrals as aggregation functions

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Author Info

  • Marta Cardin

    ()
    (Department of Applied Mathematics, University of Venice)

  • Silvio Giove

    ()
    (Department of Applied Mathematics, University of Venice)

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.

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File URL: http://virgo.unive.it/wpideas/storage/2007wp156.pdf
File Function: First version, 2007
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Bibliographic Info

Paper provided by Department of Applied Mathematics, Università Ca' Foscari Venezia in its series Working Papers with number 156.

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Length: 12 pages
Date of creation: Oct 2007
Date of revision:
Handle: RePEc:vnm:wpaper:156

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