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Inference with consistent probabilities in expert systems
Department of Computer and Information Science, University of Linköping, Linköping, Sweden. (AASS)ORCID iD: 0000-0002-9477-4044
1989 (English)In: International journal of intelligent systems, ISSN 0884-8173, Vol. 4, no 1, p. 1-21Article in journal (Refereed) Published
Abstract [en]

The objective of the present article is twofold: first, to provide ways for eliciting consistent a priori and conditional probabilities for a set of events representing pieces of evidence and hypotheses in the context of a rule based expert system. Then an algorithm is proposed which uses the least possible number of a prior and conditional probabilities as its input and which computes the lower and upper bounds for higher order conditional and joint probabilities, so that these be consistent with the input probabilities provided. In the case, when inconsistent lower and upper bounds are obtained, it is suggested how the latter can be turned into consistent ones, by changing the values of only these input probabilities which are directly represented in the higher order probability under consideration. Secondly, a number of typical cases with respect to the problems of aggregation and propagation of uncertainty in expert systems is considered. It is shown how these can be treated by using higher order joint probabilities. For this purpose no global assumptions for independence of evidence and for mutual exclu-siveness of hypotheses are required, since the presence of independent and/or dependent pieces of evidence, as well as the presence of mutually exclusive hypotheses, is explicitly encoded in the input probabilities and thus, such a presence is automatically detected by the algorithm when computing higher order joint probabilities.

Place, publisher, year, edition, pages
John Wiley & Sons, 1989. Vol. 4, no 1, p. 1-21
Keywords [en]
probabilistic reasoning, expert systems
National Category
Engineering and Technology
Research subject
Computer Science; Computer Engineering
Identifiers
URN: urn:nbn:se:oru:diva-42521DOI: 10.1002/int.4550040102ISI: A1989T237100001Scopus ID: 2-s2.0-0024627799OAI: oai:DiVA.org:oru-42521DiVA, id: diva2:786839
Available from: 2015-02-06 Created: 2015-02-06 Last updated: 2017-10-17Bibliographically approved

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Driankov, Dimiter

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CiteExportLink to record
Permanent link

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Citation style
  • apa
  • harvard1
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • Other style
More styles
Language
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Other locale
More languages
Output format
  • html
  • text
  • asciidoc
  • rtf