Logical Representation and Computation of Optimal Decisions in a Qualitative Setting

Didier Dubois, Daniel Le Berre, Henri Prade, Régis Sabbadin

This paper describes a logical machinery for computing decisions based on an ATMS procedure, where the available knowledge on the state of the world is described by a possibilistic propositional logic base (i.e., a collection of logical statements associated with qualitative certainty levels). The preferences of the user are also described by another possibilistic logic base whose formula weights are interpreted in terms of priorities and formulas express goals. Two attitudes are allowed for the decision maker: a pessimistic uncertainty-averse one and an optimistic one. The computed decisions are in agreement with a qualitative counterpart to classical expected utility theory for decision under uncertainty.

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