Artificial Intelligence - Special issue on nonmonotonic reasoning
Journal of Artificial Intelligence Research
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Preferences for objects are commonly derived from ranked sets of properties or multiple attributes associated with these objects. There are several options or strategies to qualitatively derive a preference for one object over another from a property ranking. We introduce a modal logic, called multi-attribute preference logic, that provides a language for expressing such strategies. The logic provides the means to represent and reason about qualitative multi-attribute preferences and to derive object preferences from property rankings. The main result of the paper is a proof that various well-known preference orderings can be defined in multi-attribute preference logic.