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On Transforming Belief Function Models to Probability Models
Cobb, Barry R. Shenoy, Prakash P.
Cobb, Barry R.
Shenoy, Prakash P.
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Abstract
In this paper, we explore methods for transforming a belief function model to an equivalent probability model. We propose and define the properties of a method called the plausibility transformation method. We compare the plausibility
transformation method with the pignistic transformation method. These two methods yield qualitatively different probability models. We argue that the plausibility transformation method is the correct method that maintains belief function semantics.
Description
In response to reviewer comments on this paper, we have written a shorter and more focused paper: "On the Plausibility Transformation Method for Translating Belief Function Models to Probability Models," University of Kansas School of Business Working Paper No. 308, June 2004, Lawrence, KS.
Date
2003-07
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University of Kansas School of Business
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WP293.pdf
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Keywords
Dempster-Shafer belief function theory, Plausibility transformation method, Pignistic transformation method, Transforming belief function models to probability models, Bayesian networks, Valuation networks, Valuation-based systems
Citation
Cobb, B. R. and P. P. Shenoy (2003), "On Transforming Belief Function Models to Probability Models," University of Kansas School of Business Working Paper No. 293, July 2003, Revised February 2004, Lawrence, KS.