Abstract
In this paper we consider a hybrid possibilistic-probabilistic alternative approach to Probabilistic Preference Logic Networks (PPLNs). Namely, we first adopt a possibilistic model to represent the beliefs about uncertain strict preference statements, and then, by means of a pignistic probability transformation, we switch to a probabilistic-based credulous inference of new preferences for which no explicit (or transitive) information is provided. Finally, we provide a tractable approximate method to compute these probabilities.
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References
Banks, J., Garrabrant, S., Huber, M., Perizzolo, A.: Using TPA to count linear extensions. ArXiv e-prints (2010)
Bienvenu, M., Lang, J., Wilson, N.: From preference logics to preference languages, and back. In: Proceedings of KR (2010)
Brightwell, G., Winkler, P.: Counting linear extensions is #P-complete. In: Proceedings of STOC, pp. 175–181 (1991)
Dubois, D., Lang, J., Prade., H.: Possibilistic logic. In: Handbook of Logic in Artificial Intelligence and Logic Programming, vol. 3, pp. 439–513 (1994)
Dubois, D., Prade, H.: Unfair coins and necessity measures: towards a possibilistic interpretation of histograms. Fuzzy Sets Syst. 10, 15–20 (1983)
Hollunder, B.: An alternative proof method for possibilistic logic and its application to terminological logics. Int. J. Approximate Reasoning 12, 85–109 (1995)
Lukasiewicz, T., Martinez, M.V., Simari, G.I.: Probabilistic preference logic networks. In: Proceedings of ECAI, pp. 561–566 (2014)
Smets, P.: Constructing the pignistic probability function in a context of uncertainty. In: Proceedings of UAI, vol. 89, pp. 29–40 (1989)
Yager, R.: Level sets for membership evaluation of fuzzy subset. In: Fuzzy Sets and Possibility Theory - Recent Developments, pp. 90–97 (1982)
Acknowledgments
Martinez and Simari have been partially supported by EU H2020 research and innovation programme under the Marie Sklodowska-Curie grant agreement No. 690974 for the project MIREL: MIning and REasoning with Legal texts; and funds provided by Universidad Nacional del Sur (UNS), Agencia Nacional de Promocion Cientifica y Tecnologica, and CONICET, Argentina. Godo acknowledges the EU H2020 project SYSMICS (MSCA-RISE-2015 Project 689176) and the Spanish FEDER/MINECO project TIN2015-71799-C2-1-P.
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Martinez, M.V., Godo, L., Simari, G.I. (2018). Inferring Quantitative Preferences: Beyond Logical Deduction. In: Ciucci, D., Pasi, G., Vantaggi, B. (eds) Scalable Uncertainty Management. SUM 2018. Lecture Notes in Computer Science(), vol 11142. Springer, Cham. https://doi.org/10.1007/978-3-030-00461-3_29
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DOI: https://doi.org/10.1007/978-3-030-00461-3_29
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