The Dempster-Shafer Theory of Evidence

  • Weiru Liu
Part of the Studies in Fuzziness and Soft Computing book series (STUDFUZZ, volume 77)


The Dempster-Shafer theory of evidence (here, DS theory, for brevity), sometimes called evidential reasoning (cf. Lowrance et al. [Lowrance et al., 1981]) or belief function theory, is a mechanism formalised by Shafer ([Shafer, 1976]) for representing and reasoning with uncertain, imprecise and incomplete information. It is based on Dempster’s original work ([Dempster, 1967]) on the modelling of uncertainty in terms of upper and lower probabilities that are induced by a multivalued mapping rather than as a single probability value.


Mass Function Multivalued Mapping Belief Function Focal Element Basic Probability Assignment 
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Copyright information

© Springer-Verlag Berlin Heidelberg 2001

Authors and Affiliations

  • Weiru Liu
    • 1
  1. 1.School of Information and Software EngineeringUniversity of Ulster at JordanstownNewtownabbey Co. AntrimNorthern Ireland UK

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