Perspectives on the theory and practice of belief functions

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Abstract

The theory of belief functions is a generalization of the Bayesian theory of subjective probability judgement. The author's 1976 book, A Mathematical Theory of Evidence, is still a standard reference for this theory, but it is concerned primarily with mathematical foundations. Since 1976, considerable work has been done on interpretation and implementation of the theory. This article reviews this work, as well as newer work on mathematical foundations. It also considers the place of belief functions within the broader topic of probability and the place of probability within the larger set of formalisms used by artificial intelligence.

Original languageEnglish (US)
Pages (from-to)323-362
Number of pages40
JournalInternational Journal of Approximate Reasoning
Volume4
Issue number5-6
DOIs
StatePublished - 1990
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Software
  • Theoretical Computer Science
  • Artificial Intelligence
  • Applied Mathematics

Keywords

  • Bayesian theory
  • Dempster-Shafer theory
  • belief functions
  • independence
  • inner measures
  • interactive systems
  • join trees
  • lower probabilities
  • multivalued mappings
  • probability propagation
  • random sets
  • statistical inference

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