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Conditional Belief Structures

Published online by Cambridge University Press:  27 July 2009

Jürg Kohlas
Jürg Kohlas
Affiliation:
Institute for Automation and Operations Research University of Fribourg, Switzerland
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Extract

The mathematical theory of evidence (Shafer et al. [9]) has recently found much interest as an approach to treat uncertainty in expert and knowledge-based systems. Although the theory is very promising, there are not yet many practical applications. Modeling practice has still to be developed. This is a crucial task in view of facilitating the application of evidential modeling. It is the aim of this paper to discuss an important element of evidential modeling–conditional belief–within the scope of the mathematical theory of evidence.

Type
Research Article
Information
Probability in the Engineering and Informational Sciences , Volume 2 , Issue 4 , October 1988 , pp. 415 - 433
Copyright
Copyright © Cambridge University Press 1988

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References

1.Dempster, A.P. (1967). Upper and lower probabilities induced by a multivalued mapping. Annals of Mathematical Statistics 38: 325–339.CrossRefGoogle Scholar
2.Garvey, T.D. (1986). Evidential reasoning for land-use classification. A.I. Center. SRI Int., Menlo Park, CA 94025.Google Scholar
3.Kong, A. (1986). Multivariate belief functions and graphical models. Doctoral dissertation, Department of Statistics, Harvard University, Cambridge.Google Scholar
4.Lowrance, J.D. (1986). Automating argument construction. Al. Center, SRI Int., Menlo Park, CA 94025. Proceeding Workshop on Assessing Uncertainty, Naval Postgraduate School, Monterey, 11 1986.Google Scholar
5.Lowrance, J.D. & Garvey, T.D. (1983). Evidential reasoning: an implementation for multisensor integration. Al. Center, SRI Int., Menlo Park, CA 94025.Google Scholar
6.Lu, S.Y. & Stephanou, H.E. (1984). A Set theoretic framework for the processing of uncertain knowledge. Proceedings of the National Conference on Artificial Intelligence, University of Texas at Austin, TX, p. 216–221.Google Scholar
7.Pearl, J. (1986). Fusion, propagation, and structuring in belief networks. Al. 28: 241–288.Google Scholar
8.Shafer, G. (1976). A mathematical theory of evidence. New Jersey: Princeton University Press.Google Scholar
9.Shafer, G., Shenoy, P.P., & Mellouli, K. (1986). Propagating belief functions in qualitative Markov chains. School of Business Working Paper No. 186. The University of Kansas, Lawrence.Google Scholar
10.Shafer, G. & Tversky, A. (1985). Languages and designs for probability judgment. Cognitive Science 9: 309–339.Google Scholar