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A Two-Steps Algorithm for Min-Based Possibilistic Causal Networks

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Symbolic and Quantitative Approaches to Reasoning with Uncertainty (ECSQARU 2001)

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 2143))

Abstract

In possibility theory, there are two kinds of possibilistic causal networks depending if the possibilistic conditioning is based on the minimum or the product operator. Product-based possibilistic networks share the same practical and theoretical features as Bayesian networks. In this paper, we focus on min-based causal networks and propose a propagation algorithm for such networks. The basic idea is first to transform the initial network only into a moral graph. Then, two different procedures, called stabilization and checking consistency, are applied to compute the possibility degree of any variable of interest given some evidence.

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References

  1. C. Borgelt, J. Gebhardt, and Rudolf Kruse, Possibilistic Graphical Models, In: Proc. ISSEK’98 (Udine, Italy), 1998.

    Google Scholar 

  2. G. F. Cooper, Computational complexity of probabilistic inference using Bayesian belief networks, Artificial Intelligence, 393–405, 1990.

    Google Scholar 

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

    MATH  Google Scholar 

  4. D. Dubois and H. Prade, An introductory survey of possibility theory and its recent developments. Journal of Japan Society for Fuzzy Theory and Systems, Vol. 10, 1, 21–42, 1998.

    Google Scholar 

  5. P. Fonck, Conditional independence in possibility theory, Uncertainty in Artificial Intelligence, 221–226, 1994.

    Google Scholar 

  6. J. Gebhardt and R. Kruse, Background and perspectives of possibilistic graphical models, Qualitative and Quantitative Practical Reasoning: ECSQARU/FAPR’97, Lecture Notes in Artificial Intelligence, 1244, pp. 108–121, Springer, Berlin, 1997.

    Chapter  Google Scholar 

  7. F. V. Jensen, Introduction to Bayesien networks, UCL Press, 1996.

    Google Scholar 

  8. E. Hisdal, Conditional possibilities independence and non interaction. Fuzzy Sets and Systems, Vol. 1, 1978.

    Google Scholar 

  9. S.L. Lauritzen and D. J. Spiegelhalter, Local computations with probabilities on graphical structures and their application to expert systems, Journal of the Royal Statistical Society, Vol. 50, 157–224, 1988.

    MATH  MathSciNet  Google Scholar 

  10. J. Pearl, Probabilistic Reasoning in intelligent systems: networks of plausible inference. Morgan Kaufmman, Los Altos, CA, 1988.

    Google Scholar 

  11. L.A. Zadeh, Fuzzy sets as a basis for a theory of possibility. Fuzzy Sets and Systems, 1, 3–28, 1978.

    Article  MATH  MathSciNet  Google Scholar 

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© 2001 Springer-Verlag Berlin Heidelberg

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Amo, N.B., Benferhat, S., Mellouli, K. (2001). A Two-Steps Algorithm for Min-Based Possibilistic Causal Networks. In: Benferhat, S., Besnard, P. (eds) Symbolic and Quantitative Approaches to Reasoning with Uncertainty. ECSQARU 2001. Lecture Notes in Computer Science(), vol 2143. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-44652-4_24

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  • DOI: https://doi.org/10.1007/3-540-44652-4_24

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-42464-2

  • Online ISBN: 978-3-540-44652-1

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