Grabisch and Labreuche have recently proposed a generalization of capacities, called
the bi-capacities. Recently, a new approach for studying bi-capacities through
introducing a notion of ternary-element sets proposed by the author. In this paper, we
propose many results such as bipolar Mobius transform, importance index, and
interaction index of bi-capacities based on our approach.
Key words: Bi-capacities; the bipolar Mobius transform; importance index;
interaction index.
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