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Abstract: We study the so-called signed discrete Choquet integral also callednon-monotonic discrete Choquet integral regarded as the Lov\-asz extension ofa pseudo-Boolean function which vanishes at the origin. We presentaxiomatizations of this generalized Choquet integral, given in terms of certainfunctional equations, as well as by necessary and sufficient conditions whichreveal desirable properties in aggregation theory.



Author: Marta Cardin, Miguel Couceiro, Silvio Giove, Jean-Luc Marichal

Source: https://arxiv.org/



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