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A Many-valued Logic for Lexicographic Preference Representation
2021
Proceedings of the Eighteenth International Conference on Principles of Knowledge Representation and Reasoning
unpublished
We introduce lexicographic logic, an extension of propositional logic that can represent a variety of preferences, most notably lexicographic ones. The proposed logic supports a simple new connective whose semantics can be defined in terms of finite lists of truth values. We demonstrate that, despite the well-known theoretical limitations that pose barriers to the quantitative representation of lexicographic preferences, there exists a subset of the rational numbers over which the proposed new
doi:10.24963/kr.2021/62
fatcat:sd2oo4qo7vc2pg2x2n325dh4f4