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An axiomatic foundation of Dempster-Shafer theory

Published:21 February 1989Publication History

ABSTRACT

This abstract introduces an axiomatic study on Dempster-Shafer theory of handling uncertainty in AI systems. A Dempster-Shafer belief function, based on probabilities, is intended to measure the degree of support a piece of evidence provides for various propositions in its domain. Dempster's rule provides a method of combining evidence that may justify partial beliefs. Shafer argued that the Bayesian theory is a special case of this theory and that Bayes rule of conditioning is a special case of Dempster's rule of combination. However, the development of evidence models, including Dempster's rule, is based on intuition and lacks the axiomatic foundation of probability theory.

  1. An axiomatic foundation of Dempster-Shafer theory

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    • Published in

      cover image ACM Conferences
      CSC '89: Proceedings of the 17th conference on ACM Annual Computer Science Conference
      February 1989
      121 pages
      ISBN:0897912993
      DOI:10.1145/75427

      Copyright © 1989 ACM

      Permission to make digital or hard copies of all or part of this work for personal or classroom use is granted without fee provided that copies are not made or distributed for profit or commercial advantage and that copies bear this notice and the full citation on the first page. Copyrights for components of this work owned by others than ACM must be honored. Abstracting with credit is permitted. To copy otherwise, or republish, to post on servers or to redistribute to lists, requires prior specific permission and/or a fee. Request permissions from [email protected]

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      Association for Computing Machinery

      New York, NY, United States

      Publication History

      • Published: 21 February 1989

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