Skip to main content

Conditioning in possibility and evidence theories — A logical viewpoint —

  • Invited Paper
  • Conference paper
  • First Online:
Uncertainty and Intelligent Systems (IPMU 1988)

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

Access this chapter

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Nilsson N. Probabilistic logic. Artificial Intelligence, 28, 71–87, 1986.

    Google Scholar 

  2. Dubois D., Prade H. Possibilistic inference under matrix form. In: Fuzzy Logic in Knowledge Engineering (H. Prade, C.V. Negoita, eds.), Verlag TÜV Rheinland, Köln, 112–126.

    Google Scholar 

  3. Schay G. An algebra of conditional events. Journal of Mathematical, Analysis and Applications, 24, 334–344, 1968.

    Google Scholar 

  4. Stalnaker R. A theory of conditionals. In: Studies in Logical Theory (N. Rescher, ed.), Blackwell, Oxford, 1968. Also in Harper et al. (41–55, 1981).

    Google Scholar 

  5. Lewis D. Probabilities of conditionals and conditional probabilities. Phil. Rev., 85, 1976, 297–315. Also in Harper et al. (129–150, 1981).

    Google Scholar 

  6. Harper W.L., Stalnaker R., Pearce G. (eds.) Ifs. Conditionals, Belief, Decision, Chance and Time. Reidel, Dordrecht, 1981.

    Google Scholar 

  7. Calabrese P. An algebraic synthesis of the foundations of logic and probability. Information Sciences, 42, 187–237, 1987.

    Google Scholar 

  8. Goodman I.R., Nguyen H.T. Conditional objects and the modeling of uncertainties. To appear in: Fuzzy Computing (M.M. Gupta, T. Yamakawa, eds.), North-Holland, 1988.

    Google Scholar 

  9. Dubois D., Prade H. Théorie des Possibilités. Applications à la Représentation des Connaissances en Informatique. Masson, Paris. 2nd edition, 1987, 135–138 and 140–143.

    Google Scholar 

  10. Cox R.T. Probability, frequency and reasonable expectation. Amer. J. Phys., 14, 1–13, 1946.

    Google Scholar 

  11. Cheeseman P. In defense of probability. Proc. 1985 Inter. Joint Conf. on Artificial Intelligence, Los Angeles, 1002–1009, 1985.

    Google Scholar 

  12. Horvitz E.J., Heckerman D.E., Langlotz C.P. A framework for comparing alternative formalisms for plausible reasoning. Proc. Amer. Assoc. for Artificial Intelligence Conference (AAAI-86), Philadelphia, 210–214, 1986.

    Google Scholar 

  13. Heckerman D.E. An axiomatic framework for belief updates. Proc. AAAI Workshop on Uncertainty in Artificial Intelligence, Philadelphia, 123–128, 1986.

    Google Scholar 

  14. Schweizer B., Sklar A. Associative functions and abstract semigroups. Publ. Mathe. (Debrecen.) 10, 69–81, 1963.

    Google Scholar 

  15. Trillas E. Sobre funciones de negación en la teoría de conjuntos difusos. Stochastica, III, no 1, 47–59, 1979.

    Google Scholar 

  16. Zadeh L.A. Fuzzy sets as a basis for a theory of possibility. Fuzzy Sets and Systems, 1, 3–28, 1978.

    Google Scholar 

  17. Shafer G. A Mathematical Theory of Evidence. Princeton University Press, New Jersey, 1976.

    Google Scholar 

  18. Kyburg H. Bayesian and non-Bayesian evidential updating. Artificial Intelligence, 31, 271–293, 1987.

    Google Scholar 

  19. Suppes P., Zanotti M. On using random relations to generate upper and lower probabilities. Synthese, 36, 427–440, 1977.

    Google Scholar 

  20. Hisdal E. Conditional possibilities: independence and non-interaction. Fuzzy Sets and Systems, 1, 283–297, 1978.

    Google Scholar 

  21. Smets P. Belief functions. In: Non-Standard Logics for Automated Reasoning (P. Smets, E.H. Mamdani, D. Dubois, H. Prade, eds.), Academic Press, New York, 253–286, 1988.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

B. Bouchon L. Saitta R. R. Yager

Rights and permissions

Reprints and permissions

Copyright information

© 1988 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Dubois, D., Prade, H. (1988). Conditioning in possibility and evidence theories — A logical viewpoint —. In: Bouchon, B., Saitta, L., Yager, R.R. (eds) Uncertainty and Intelligent Systems. IPMU 1988. Lecture Notes in Computer Science, vol 313. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-19402-9_96

Download citation

  • DOI: https://doi.org/10.1007/3-540-19402-9_96

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-19402-6

  • Online ISBN: 978-3-540-39255-2

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics