Conditional independence in valuation-based systems

作者: Prakash P. Shenoy

DOI: 10.1016/0888-613X(94)90001-9

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摘要: Abstract This study introduces the concept of conditional independence in valuation-based systems (VBS). VBS is an axiomatic framework capable representing many different uncertainty calculi. We define terms factorization joint valuation. The definition generalizes corresponding probability theory. Besides theory, our applies also to Dempster-Shafer's belief-function Spohn's epistemic-belief and Zadeh's possibility In fact, it any calculi that fit framework. prove satisfies usual properties associated with it. particular, Pearl Paz's graphoid axioms.

参考文章(39)
Milan Studený, Attempts at axiomatic description of conditional independence Kybernetika. ,vol. 25, pp. 72- 79 ,(1989)
A. P. Dawid, Conditional Independence in Statistical Theory Journal of the Royal Statistical Society: Series B (Methodological). ,vol. 41, pp. 1- 15 ,(1979) , 10.1111/J.2517-6161.1979.TB01052.X
Dan Geiger, Graphoids: a qualitative framework for probabilistic inference University of California at Berkeley. ,(1990)
Mario Petrich, Introduction to semigroups [University of Toront]. ,(1999)
Prakash P. Shenoy, A fusion algorithm for solving Bayesian decision problems uncertainty in artificial intelligence. pp. 361- 369 ,(1991) , 10.1016/B978-1-55860-203-8.50051-6
Lotfi A. Zadeh, A Theory of Approximate Reasoning Machine intelligence. ,vol. 9, pp. 149- 194 ,(1979)
Prakash P. Shenoy, Valuation-based systems: a framework for managing uncertainty in expert systems Fuzzy logic for the management of uncertainty. pp. 83- 104 ,(1992)
Michel Mouchart, Discussion on "Conditional independence in statistitical theory" by A.P. Dawid Journal of the royal statistical society series b-methodological. ,vol. 41, pp. 25- 26 ,(1979)