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| Title: | Conditional Independence in Valuation-Based Systems |
| Authors: | Shenoy, Prakash P. |
| Keywords: | Conditional independence
Valuation-based systems
Graphoid axioms
Factorization
Dempster-Shafer belief function theory
Possibility theory
Spohn's theory of epistemic beliefs |
| Issue Date: | Apr-1994 |
| Publisher: | Elsevier Science Publishers B. V. |
| Extent: | 657279 bytes |
| Type: | Article |
| Citation: | Shenoy, P. P., "Conditional Independence in Valuation-Based Systems," International Journal of Approximate Reasoning, Vol. 10, Nos 3, 1994, pp. 203--234. |
| Abstract: | This paper introduces the concept of conditional independence in valuation-based systems (VBS). VBS is an axiomatic framework capable of representing many different uncertainty calculi. We define conditional independence in terms of factorization of the joint valuation. The definition of conditional independence in VBS generalizes the corresponding definition in probability theory. Besides probability theory, our definition applies also to Dempster-Shafer’s belief-function theory, Spohn’s epistemic-belief theory, and Zadeh’s possibility theory. In fact, it applies to any uncertainty calculi that fit in the VBS framework. We prove that our definition of conditional independence satisfies many of the usual properties associated with it. In particular, it satisfies Pearl and Paz’s graphoid axioms. |
| URI: | http://hdl.handle.net/1808/190 |
| ISSN: | 0888-613X |
| Appears in Collections: | School of Business Articles
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| IJAR94.pdf | | 641Kb | Adobe PDF | View/Open |
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