The Choquet integral with respect to a level dependent capacity
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. (C) 2011 Elsevier B.V. All rights reserved.
choquet integral level dependent capacity sugeno integral cumulative prospect theory functional owa aggregation functions level dependent bicapacity