How much do you believe?

  • Nic Wilson

Research output: Contribution to journalArticlepeer-review

Abstract

This paper responds to a number of criticisms of Dempster-Shafer theory made by Judea Pearl. He criticises Dempster-Shafer belief for not obeying the laws of Bayesian belief; however, these laws leas to well-known problems in the face of ignorance, and seem unreasonably restrictive. It is argued that it is not reasonable to expect a measure of belief to obey Pearl's sandwich principle. The standard representation of "if-then" rules in Dempster-Shafer theory, criticised by Pearl, is justified and favorably constrasted with a conditional probability representation.

Original languageEnglish
Pages (from-to)345-365
Number of pages21
JournalInternational Journal of Approximate Reasoning
Volume6
Issue number3
DOIs
Publication statusPublished - May 1992
Externally publishedYes

Keywords

  • Bayesian probability
  • conditioning
  • Dempster-Shafer theory
  • if then rules
  • lower probability
  • the sandwich principle

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