A Statistical Viewpoint on the Theory of Evidence

Robert A. Hummel, Michael S. Landy

Research output: Contribution to journalArticle

Abstract

We describe a viewpoint on the Dempster/Shafer “theory of evidence”, and provide an interpretation which regards the combination formulas as statistics of the opinions of “experts.” This is done by introducing spaces with binary operations that are simpler to interpret or simpler to implement than the standard combination formula, and showing that these spaces can be mapped homomorphically onto the Dempster/Shafer theory of evidence space. The experts in the space of “opinions of experts” combine information in a Bayesian fashion. We present alternative spaces for the combination of evidence suggested by this viewpoint.

Original languageEnglish (US)
Pages (from-to)235-247
Number of pages13
JournalIEEE Transactions on Pattern Analysis and Machine Intelligence
Volume10
Issue number2
DOIs
StatePublished - Mar 1988

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Keywords

  • Bayes rule
  • Bayesian combination
  • evidence
  • evidential reasoning
  • expert systems
  • theory of evidence

ASJC Scopus subject areas

  • Software
  • Computer Vision and Pattern Recognition
  • Computational Theory and Mathematics
  • Artificial Intelligence
  • Applied Mathematics

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