The choquet integral with respect to a level dependent capacity

Salvatore Greco, B. Matarazzo, S. Giove

    Research output: Contribution to journalArticlepeer-review


    We present a generalization of Choquet integral in which the capacity depends also on the value of the aggregated variables. We show that as particular cases of our generalization of Choquet integral there are the Sugeno integral, the Sipos integral and the Cumulative Prospect Theory functional. We also show that many concepts such as Mobius transform, importance index, interaction index, k-order capacities and OWA operators, introduced in the research about Choquet integral, can be generalized in the considered context.
    Original languageEnglish
    Pages (from-to)1-35
    Number of pages35
    JournalFuzzy Sets and Systems
    Issue number1
    Publication statusPublished - 16 Jul 2011


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