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A hierarchical decomposition of Choquet integral model. (English) Zbl 1232.93010

Summary: In this paper we give a necessary and sufficient condition for a Choquet integral model to be decomposable into an equivalent hierarchical Choquet integral model constructed by hierarchical combinations of some ordinary Choquet integral models. The condition is obtained by Inclusion-Exclusion Covering (IEC). Moreover we show some properties on the set of IECs.

MSC:

93A30 Mathematical modelling of systems (MSC2010)
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