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Classical extensions of the Choquet integral (defined on [0,1]) to [−1,1] are the asymmetric and the symmetric Choquet integral, the second one being called also the Šipoš integral. Recently, the balancing Choquet integral was introduced as another kind of a symmetric extension of the discrete Choquet integral. We introduce and discuss a new type of such extension, the fusion Choquet integral, and...
In this paper a new extension of Choquet integral to real inputs is introduced. While the symmetric and the asymmetric Choquet integrals aggregate positive and negative inputs separately, the balancing Choquet integral merges both positive and negative inputs and thus allows the compensation effect for oppositely oriented inputs with the same magnitude.
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