Advertisement

Weighting independent bodies of evidence

  • Silviu Guiasu
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 747)

Abstract

The objective of this paper is to introduce a weighted combination of independent bodies of evidence which contains Hooper's, Dempster's, Bayes's, and Jeffrey's rules as special cases.

Keywords

Positive Weight Approximate Reasoning Basic Probability Assignment Independent Body Full Credit 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. 1.
    T.R.Bayes: An essay towards solving a problem in the doctrine of chances. Philosophical Transactions of the Royal Society in London 53, 370–418 (1763)Google Scholar
  2. 2.
    B. Bouchon-Meunier: La logique floue. Paris: Presses Universitaires de France 1993Google Scholar
  3. 3.
    A.P. Dempster: Upper and lower probabilities induced by a multivalued mapping. Annals of Mathematical Statistics 38, 325–339 (1967)Google Scholar
  4. 4.
    D. Dubois, H. Prade: On the unicity of Dempster's rule of combination. International Journal of Intelligent Systems 1, 133–142 (1986)Google Scholar
  5. 5.
    S.Guiasu: A unitary treatment of several known measures of uncertainty induced by probability, possibility, fuzziness, plausibility, and belief. In: B.Bouchon-Meunier, L.Valverde, R.R.Yager (eds.): Uncertainty in intelligent systems. Amsterdam: Elsevier Science Publishing Co. 1993 (in press)Google Scholar
  6. 6.
    H.Ichihashi, H.Tanaka: Jeffrey-like rules of conditioning for the Dempster-Shafer theory of evidence. International Journal of Approximate Reasoning 3, 143–156 (1989)Google Scholar
  7. 7.
    R.C. Jeffrey: The logic of decision. New York: McGraw-Hill 1965Google Scholar
  8. 8.
    D.V. Lindley: The probability approach to the treatment of uncertainty in artificial intelligence and expert systems. Statistical Sciences 2, 17–24 (1987)Google Scholar
  9. 9.
    G. Shafer: A mathematical theory of evidence. Princeton: Princeton University Press 1976Google Scholar
  10. 10.
    G. Shafer: Perspectives on the theory and practice of belief functions. International Journal of Approximate Reasoning 4, 323–362 (1990)Google Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 1993

Authors and Affiliations

  • Silviu Guiasu
    • 1
  1. 1.Department of Mathematics and StatisticsYork UniversityNorth YorkCanada

Personalised recommendations