Multiple Criteria Choice, Ranking, and Sorting in the Presence of Ordinal Data and Interactive Points of View

In this survey we use the discrete Choquet integral as a basic tool to solve ordinal multiple-attribute decision problems in the presence of interacting criteria. We consider ranking (all the alternatives from the decision set are ranked from the best one to the worst one), sorting (each alternative is assigned to one of the pre determined, ordered and disjoint classes) and choice (some alternatives are considered as the best ones or the worst ones).

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