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On non-monotonic Choquet integrals as aggregation functions

Author

Listed:
  • 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.

Suggested Citation

  • Marta Cardin & Silvio Giove, 2007. "On non-monotonic Choquet integrals as aggregation functions," Working Papers 156, Department of Applied Mathematics, Università Ca' Foscari Venezia.
    • Handle: RePEc:vnm:wpaper:156
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    JEL classification:

    • C60 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - General

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