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The Choquet integral with respect to a level dependent capacity

The Choquet integral with respect to a level dependent capacity,10.1016/j.fss.2011.03.012,Fuzzy Sets and Systems,Salvatore Greco,Benedetto Matarazzo,S

The Choquet integral with respect to a level dependent capacity   (Citations: 9)
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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 Šipoš integral and the Cumulative Prospect Theory functional. We also show that many concepts such as Möbius 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.
Journal: Fuzzy Sets and Systems - FSS , vol. 175, no. 1, pp. 1-35, 2011
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