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Qualitative Markov networks

  • Khaled Mellouli
  • Glenn Shafer
  • Prakash P. Shenoy
Section II Approaches To Uncertainty A) Evidence Theory
Part of the Lecture Notes in Computer Science book series (LNCS, volume 286)

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VII. References

  1. Birkhoff, G. (1967). Lattice Theory. American Mathematical Society Colloquium Publications, Vol. XXV, American Mathematical Society, 3rd edition.Google Scholar
  2. Darroch, J.N., S.L. Lauritzen and T.P. Speed (1980). Markov fields and log-linear interaction models for contingency tables, The Annals of Statistics, vol. 8, pp. 522–539.Google Scholar
  3. Gordon, Jean, and Edward H. Shortliffe (1985). A method for managing evidential reasoning in hierarchical hypothesis spaces, Artificial Intelligence, vol. 26, pp 323–358.Google Scholar
  4. Griffeath, D. (1976). Introduction to random fields. In Kemeny, J.G., J.L. Snell, and A.W. Knapp (1976). Denumerable Markov Chains. Springer-Verlag, New York.Google Scholar
  5. Kong, Augustine (1986). Multivariate belief functions and graphical models, Doctoral dissertation, Department of Statistics, Harvard University, Cambridge MA 02138.Google Scholar
  6. Mellouli, Khaled (1987). On the combination of beliefs in networks using Dempster-Shafer's theory of evidence, Doctoral dissertation (in preparation), School of Business, University of Kansas, Lawrence, KS 66045-2003.Google Scholar
  7. Pearl, Judea (1986). Fusion, propagation, and structuring in Bayesian networks, Artificial intelligence, vol. 29, No. 3, pp. 241–288.Google Scholar
  8. Shafer, Glenn (1976). A Mathematical Theory of Evidence. Princeton University Press.Google Scholar
  9. Shafer, Glenn, and Roger Logan (1985). Implementing Dempster's rule for hierarchical evidence, Working paper No 174, School of Business, University of Kansas, Lawrence KS 66045-2003. To appear in Artificial Intelligence.Google Scholar
  10. Shafer, Glenn, Prakash P. Shenoy, and Khaled Mellouli (1986). Propagating belief functions in qualitative Markov trees, Working Paper No 186, School of Business, University of Kansas, Lawrence, KS 66045-2003. To appear in International Journal of Approximate Reasoning.Google Scholar
  11. Shenoy, Prakash P. and Glenn Shafer (1986). Propagating belief functions with local computations, IEEE Expert, vol. 1, No. 3, pp. 43–52.Google Scholar
  12. Shenoy, Prakash P., Glenn Shafer and Khaled Mellouli (1986). Propagation of belief functions: A Distributed Approach, in Proceedings of the Second AAAI Workshop on Uncertainty in Artificial Intelligence, Philadelphia, PA, pp. 249–260. To appear in J. Lemmer and L. Kanal, editors, (1987). Uncertainty in Artificial Intelligence. Vol. II, North-Holland, New York.Google Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 1987

Authors and Affiliations

  • Khaled Mellouli
    • 1
  • Glenn Shafer
    • 1
  • Prakash P. Shenoy
    • 1
  1. 1.School of BusinessUniversity of KansasLawrenceUSA

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