[go: up one dir, main page]
More Web Proxy on the site http://driver.im/
Skip to main content

Dempster Conditioning and Conditional Independence in Evidence Theory

  • Conference paper
AI 2005: Advances in Artificial Intelligence (AI 2005)

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 3809))

Included in the following conference series:

Abstract

In this paper, we discuss the conditioning issue in D-S evidence theory in multi-dimensional space. Based on Dempster conditioning, Bayes’ rule and product rule, which are similar to that in probability theory, are presented in this paper. Two kinds of conditional independence called weak conditional independence and strong conditional independence are introduced, which can significantly simplify the inference process when evidence theory is applied to practical application.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Subscribe and save

Springer+ Basic
£29.99 /Month
  • Get 10 units per month
  • Download Article/Chapter or eBook
  • 1 Unit = 1 Article or 1 Chapter
  • Cancel anytime
Subscribe now

Buy Now

Chapter
GBP 19.95
Price includes VAT (United Kingdom)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
GBP 122.00
Price includes VAT (United Kingdom)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Similar content being viewed by others

References

  1. Ben Yaghlane, B., Smets, P., Mellouli, K.: Belief function independence: I. The marginal case. Journal of Approxiamte Reasoning 29, 47–70 (2002)

    Article  MATH  MathSciNet  Google Scholar 

  2. Dempster, A.P.: upper and lower probabilities induced by a multi-valued mapping. Ann. Mathematical Statistics 38, 325–339 (1967)

    Article  MATH  MathSciNet  Google Scholar 

  3. Jaffray, J.Y.: Bayesian updating and belief functions. IEEE Trans. Systems Man and Cybernetics 22(5), 1144–1152 (1992)

    Article  MATH  MathSciNet  Google Scholar 

  4. Shafer, G.: A Mathematical Theory of Evidences. Princeton University Press, Princeton (1976)

    Google Scholar 

  5. Spies, M.: Conditonal events, conditioning, and random sets. IEEE Trans. Systems Man and Cybernetics 24(12), 1755–1763 (1994)

    Article  MathSciNet  Google Scholar 

  6. Tang, Y., Sun, S., Liu, Y.: Conditional evidence theory and its application in knowledge discovery. In: Yu, J.X., Lin, X., Lu, H., Zhang, Y. (eds.) APWeb 2004. LNCS, vol. 3007, pp. 500–505. Springer, Heidelberg (2004)

    Chapter  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2005 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Tang, Y., Zheng, J. (2005). Dempster Conditioning and Conditional Independence in Evidence Theory. In: Zhang, S., Jarvis, R. (eds) AI 2005: Advances in Artificial Intelligence. AI 2005. Lecture Notes in Computer Science(), vol 3809. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11589990_88

Download citation

  • DOI: https://doi.org/10.1007/11589990_88

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-30462-3

  • Online ISBN: 978-3-540-31652-7

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics