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On Walley's Combination Rule for Statistical Evidence
Cinicioglu, Esma N. Shenoy, Prakash P.
Cinicioglu, Esma N.
Shenoy, Prakash P.
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Abstract
Dempster’s rule of combination is the commonly used rule for combining independent belief functions. In 1987,
Peter Walley proposed an alternative rule for combining belief function representations of independent statistical
evidence that result in partially consonant belief functions. In this paper, we examine in detail Walley’s combination
rule and compare it with Dempster’s rule. We illustrate the commonalities and differences between the two rules using a simple coin tossing example. Also, we characterize the class of partially consonant belief functions. Finally we show that if we reduce a belief function to a probability distribution using the plausibility transformation, the two combination rules result in the same probability distribution function.
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Date
2006-07
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Éditions E.D.K., 33, rue Bezout, 75014 Paris
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IPMU06.pdf
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Keywords
Dempster-Shafer belief function theory, Walley's rule of combination, Dempster's rule of combination, Partially consonant belief functions
Citation
Cinicioglu, E. N. and P. P. Shenoy, "On Walley's combination rule for statistical evidence," in Proceedings of the Eleventh International Conference on Information Processing and Management of Uncertainty in Knowledge-Based Systems (IPMU-06), July 2006, Les Cordeliers, Paris, pp. 386--394.