Abstract
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.
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References
Blackburn, P., Seligman, J.: Hybrid languages. Journal of Logic, Language and Information 4(3), 251–272 (1995)
Boutilier, C.: Toward a logic for qualitative decision theory. In: 4th International Conference on Principles of Knowledge Representation and Reasoning (KR), pp. 75–86 (1994)
Boutilier, C., Brafman, R.I., Domshlak, C., Hoos, H.H., Poole, D.: CP-nets: A tool for representing and reasoning with conditional ceteris paribus preference statements. Journal of Artificial Intelligence Research 21, 135–191 (2004)
Brewka, G.: A rank based description language for qualitative preferences. In: 16th European Conference on Artificial Intelligence (ECAI), pp. 303–307 (2004)
Brewka, G., Benferhat, S., Le Berre, D.: Qualitative choice logic. Artificial Intelligence 157(1-2), 203–237 (2004)
Coste-Marquis, S., Lang, J., Liberatore, P., Marquis, P.: Expressive power and succinctness of propositional languages for preference representation. In: 9th International Conference on Principles of Knowledge Representation and Reasoning (KR), pp. 203–212 (2004)
Girard, P.: Modal Logic for Belief and Preference Change. PhD thesis, Universiteit van Amsterdam (2008)
Halpern, J.Y., Lakemeyer, G.: Multi-agent only knowing. Journal of Logic and Computation 11(1), 41–70 (2001)
Hansson, S.O.: Preference logic. In: Gabbay, D.M., Günthner, F. (eds.) Handbook of Philosophical Logic, 2nd edn., vol. 4, pp. 319–393. Kluwer (2001)
Keeney, R.L., Raiffa, H.: Decisions with multiple objectives: preferences and value trade-offs. Cambridge University Press (1993)
Liu, F.: Changing for the Better: Preference Dynamics and Agent Diversity. PhD thesis, Universiteit van Amsterdam (2008)
von Wright, G.H.: The Logic of Preference: An Essay. Edinburgh University Press (1963)
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Hindriks, K.V., Visser, W., Jonker, C.M. (2012). Multi-attribute Preference Logic. In: Desai, N., Liu, A., Winikoff, M. (eds) Principles and Practice of Multi-Agent Systems. PRIMA 2010. Lecture Notes in Computer Science(), vol 7057. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-25920-3_13
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DOI: https://doi.org/10.1007/978-3-642-25920-3_13
Publisher Name: Springer, Berlin, Heidelberg
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