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VII. References
Birkhoff, G. (1967). Lattice Theory. American Mathematical Society Colloquium Publications, Vol. XXV, American Mathematical Society, 3rd edition.
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.
Gordon, Jean, and Edward H. Shortliffe (1985). A method for managing evidential reasoning in hierarchical hypothesis spaces, Artificial Intelligence, vol. 26, pp 323–358.
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.
Kong, Augustine (1986). Multivariate belief functions and graphical models, Doctoral dissertation, Department of Statistics, Harvard University, Cambridge MA 02138.
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.
Pearl, Judea (1986). Fusion, propagation, and structuring in Bayesian networks, Artificial intelligence, vol. 29, No. 3, pp. 241–288.
Shafer, Glenn (1976). A Mathematical Theory of Evidence. Princeton University Press.
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.
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.
Shenoy, Prakash P. and Glenn Shafer (1986). Propagating belief functions with local computations, IEEE Expert, vol. 1, No. 3, pp. 43–52.
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.
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Mellouli, K., Shafer, G., Shenoy, P.P. (1987). Qualitative Markov networks. In: Bouchon, B., Yager, R.R. (eds) Uncertainty in Knowledge-Based Systems. IPMU 1986. Lecture Notes in Computer Science, vol 286. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-18579-8_5
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DOI: https://doi.org/10.1007/3-540-18579-8_5
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