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Aggregation Functions With Non-Monotonic Measures

  • Cardin, Marta
  • Giove, Silvio

    (University of Venice)

In this paper non-monotonic measures and their properties are considered and described. Subsequently we study discrete non-monotonic Choquet integral under the viewpoint of aggregation, and its axiomatic characterization. Moreover, we show that for non-monotonic measures the Shapley index can fail to represent the relative importance of a criterion, thus we introduce a new performance index. Finally we apply non-monotonic integral to a well known classical case study.

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Article provided by International Association for Fuzzy-set Management and Economy (SIGEF) in its journal FUZZY ECONOMIC REVIEW.

Volume (Year): XIII (2008)
Issue (Month): 2 (November)
Pages: 3-15

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Handle: RePEc:fzy:fuzeco:v:xiii:y:2008:i:2:p:3-15
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