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A Comparison of Methods for Transforming Belief Function Models to Probability Models

Cobb, Barry R.
Shenoy, Prakash P.
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Abstract
Recently, we proposed a new method called the plausibility transformation method to convert a belief function model to an equivalent probability model. In this paper, we compare the plausibility transformation method with the pignistic transformation method. The two transformation methods yield qualitatively diĀ®erent probability models. We argue that the plausibility transformation method is the correct method for translating a belief function model to an equivalent probability model that maintains belief function semantics.
Description
This 12-pp paper is extracted from a longer unpublished working paper: "On Transforming Belief Function Models to Probability Models," School of Business Working Paper No. 293, July 2003, University of Kansas, Lawrence, KS.
Date
2003-07
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Springer-Verlag
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Keywords
Dempster-Shafer belief function theory, Pignistic transformation method, Plausibility transformation method, Transforming belief function models to probability models
Citation
Cobb, B. R. and P. P. Shenoy (2003), "A Comparison of Methods for Transforming Belief Function Models to Probability Models," in T. D. Nielsen and N. L. Zhang (eds.), Symbolic and Quantitative Approaches to Reasoning with Uncertainty, Lecture Notes in Artificial Intelligence No. 2711, pp. 255--266, Springer-Verlag, Berlin.
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