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On the Use of Possibilistic Bases for Local Computations in Product-Based Possibilistic Networks

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Advances in Artificial Intelligence (Canadian AI 2007)

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 4509))

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Abstract

Product-based possibilistic networks allow an efficient representation of possibility distributions. However, when the graph is multiply connected, the propagation may be unfeasible because of the high space complexity problem. In this paper, we propose a new inference approach on product-based possibilistic networks based on compact representations of possibility distributions, which are possibilistic knowledge bases.

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References

  1. Fonck, P.: Réseaux d’inférence pour le raisonnement possibiliste. PhD thesis, Université de Liège, Faculté des Sciences (1994)

    Google Scholar 

  2. Benferhat, S., Smaoui, S.: Hybrid possibilistic networks. To appear in proceeding of the Twentieth National Conference on Artificial Intelligence, AAAI-05 (2005)

    Google Scholar 

  3. Benferhat, S., Smaoui, S.: Possibilistic networks with locally weighted knowledge bases. In: Cozman, F.G., Nau, R., Seidenfeld, T. (eds.) Proceedings of the Fourth International Symposium on Imprecise Probabilities and Their Applications (ISIPTA ’05), pp. 41–50. Brightdocs, Pittsburgh (2005)

    Google Scholar 

  4. Wilson, N., Mengin, J.: Embedding logics in the local computation framework. Journal of Applied Non-Classical Logics 11(3-4), 239–267 (2001)

    Article  MATH  MathSciNet  Google Scholar 

  5. Wilson, N., Mengin, J.: Logical deduction using the local computation framework. In: Hunter, A., Parsons, S. (eds.) ECSQARU 1999. LNCS (LNAI), vol. 1638, p. 386. Springer, Heidelberg (1999)

    Chapter  Google Scholar 

  6. Hernandez, L., Moral, S.: Inference with idempotent valuations. In: Proceedings of the 13th Annual Conference on Uncertainty in Artificial Intelligence (UAI-97), pp. 229–237. Morgan Kaufmann, San Francisco (1997)

    Google Scholar 

  7. Dubois, D., Prade, H.: Possibility theory: An approach to computerized, Processing of uncertainty. Plenium Press, New York (1988)

    MATH  Google Scholar 

  8. Hisdal, E.: Conditional possibilities independence and non interaction. Fuzzy Sets and Systems 1, 283–297 (1978)

    Article  MATH  Google Scholar 

  9. Dubois, D., Lang, J., Prade, H.: Possibilistic logic. In: Handbook on Logic in Artificial Intelligence and Logic Programming, vol. 3, pp. 439–513. Oxford University Press, Oxford (1994)

    Google Scholar 

  10. Lang, J.: Possibilistic logic: complexity and algorithms. In: Handbook of Defeasible Reasoning and Uncertainty Management Systems, vol. 5, pp. 179–220 (2000)

    Google Scholar 

  11. Borgelt, C., Gebhardt, J., Kruse, R.: Possibilistic graphical models. In: Proceedings of International School for the Synthesis of Expert Knowledge (ISSEK’98 ), Udine, Italy, pp. 51–68 (1998)

    Google Scholar 

  12. Gebhardt, J., Kruse, R.: Background and perspectives of possibilistic graphical models. In: Nonnengart, A., Kruse, R., Ohlbach, H.J., Gabbay, D.M. (eds.) FAPR 1997 and ECSQARU 1997. LNCS, vol. 1244, pp. 108–121. Springer, Heidelberg (1997)

    Chapter  Google Scholar 

  13. Benferhat, S., Dubois, D., Prade, H.: Some syntactic approaches to the handling of inconsistent knowledge bases: A comparative study Part 2: The prioritized case. In: Orlowska, E. (ed.) Logic at work, vol. 24, pp. 473–511. Physica-Verlag, Heidelberg (1998)

    Google Scholar 

  14. Lin, F., Reiter, R.: Forget it! In: Proceeding of AAAI Fall Symposium on Relevance, pp. 154–159 (1994)

    Google Scholar 

  15. Lang, J., Marquis, P.: Complexity results for independence and definability. In: Proceeding of the 6th International Conference on Knowledge Representation and Reasoning (KR’98), pp. 356–367 (1998)

    Google Scholar 

  16. Darwiche, A., Marquis, P.: Compiling propositional weighted bases. Artif. Intell. 157(1-2), 81–113 (2004)

    Article  MATH  MathSciNet  Google Scholar 

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Ziad Kobti Dan Wu

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Benferhat, S., Smaoui, S. (2007). On the Use of Possibilistic Bases for Local Computations in Product-Based Possibilistic Networks. In: Kobti, Z., Wu, D. (eds) Advances in Artificial Intelligence. Canadian AI 2007. Lecture Notes in Computer Science(), vol 4509. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-72665-4_31

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  • DOI: https://doi.org/10.1007/978-3-540-72665-4_31

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-72664-7

  • Online ISBN: 978-3-540-72665-4

  • eBook Packages: Computer ScienceComputer Science (R0)

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