Combining Evidence in the Extended Dempster-Shafer Theory
The Dempster-Shafer (D-S) theory of evidence generalizes Bayesian probability theory, by providing a coherent representation for ignorance (lack of evidence). However, uncertain relationships between evidence and hypotheses bearing on this evidence are difficult to represent in applications of the theory. Yen  extended the theory by introducing a probabilistic mapping that uses conditional probabilities to express these uncertain relationships, and developed a three-step method for combining evidence from different evidential sources. We present a simpler, one-step method for combining evidence based on the extended D-S theory, and prove that it gives the same results.
KeywordsBelief Function Hypothesis Space Focal Element Basic Probability Assignment Evidential Source
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