Constraints associated with Choquet integrals and other aggregation-free ranking devices

Souhila Kaci, Henri Prade.

The paper contrasts Choquet integral-based aggregation method with a rank-ordering approach based on the specification of constraints induced by generic principles (or by examples of ranking of particular vectors of attribute values). The latter approach does not use any aggregation operation for evaluating the vectors. It is based on the minimal specificity principle (which amounts to demote vectors as much as they violate constraints) in order to get a complete preorder on the vectors. This approach is compared on an illustrative example to a Choquet integral-based method. We point out the specificity of constraints expressing relative importance that underly Choquet integral.

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