Skip to main content
SpringerLink
Log in

Introduction

  • Chapter
Fuzzy Probabilities

Part of the book series: Studies in Fuzziness and Soft Computing ((STUDFUZZ,volume 115))

  • 709 Accesses

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

Access this chapter

Log in via an institution
Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 84.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 109.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 109.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

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.

1.2 References

  1. J.J. Buckley and E. Eslami: Uncertain Probabilities I: The Discrete Case, Soft Computing. To appear.

    Google Scholar 

  2. J.J. Buckley and E. Eslami: Uncertain Probabilities II: The Continuous Case, under review.

    Google Scholar 

  3. J.J. Buckley and E. Eslami: Fuzzy Markov Chains: Uncertain Probabilities, Mathware and Soft Computing. To appear.

    Google Scholar 

  4. J.J. Buckley: Uncertain Probabilities III: The Continuous Case, under review.

    Google Scholar 

  5. J. Chiang and J.S. Yao: Fuzzy Probability Over Fuzzy σ-Field with Fuzzy Topological Space, Fuzzy Sets and Systems, 116(2000), pp. 201–223.

    Article  MATH  MathSciNet  Google Scholar 

  6. J. Dunyak, I.W. Saad and D. Wunsch: A Theory of Independent Fuzzy Probability for System Reliability, IEEE Trans. Fuzzy Systems, 7(1999), pp. 286–294.

    Article  Google Scholar 

  7. J.W. Hall, D.I. Blockley and J.P. Davis: Uncertain Inference Using Interval Probability Theory, Int. J. Approx. Reasoning, 19(1998), pp. 247–264.

    Article  MATH  MathSciNet  Google Scholar 

  8. C. Huang, C. Moraga and X. Yuan: Calculation vs. Subjective Assessment with Respect to Fuzzy Probability, In: B. Reusch (ed.), Fuzzy Days 2001, Lecture Notes in Computer Science 2206, Springer, 2001, pp. 392–411.

    Google Scholar 

  9. G.J. Klir: Fuzzy Arithmetic with Requisite Constraints, Fuzzy Sets and Systems, 91(1997), pp. 147–161.

    Article  MathSciNet  Google Scholar 

  10. G.J. Klir and J.A. Cooper: On Constrainted Fuzzy Arithmetic, Proc. 5th Int. IEEE Conf. on Fuzzy Systems, New Orleans, (1996), pp. 1285–1290.

    Google Scholar 

  11. G.J. Klir and Y. Pan: Constrained Fuzzy Arithmetic: Basic Questions and Some Answers, Soft Computing, 2(1998), pp. 100–108.

    Google Scholar 

  12. J. Lawry: A Methodology for Computing with Words, Int. J. Approx. Reasoning, 28(2001), pp. 51–89.

    Article  MATH  MathSciNet  Google Scholar 

  13. L. Lukasiewicz: Local Probabilistic Deduction from Taxonomic and Probabilistic Knowledge-Bases Over Conjunctive Events, Int. J. Approx. Reasoning, 21(1999), pp. 23–61.

    Article  MATH  MathSciNet  Google Scholar 

  14. R.E. Moore: Methods and Applications of Interval Arithmetic, SIAM Studies in Applied Mathematics, Philadelphia, USA, 1979.

    Google Scholar 

  15. A. Neumaier: Interval Methods for Systems of Equations, Cambridge University Press, Cambridge, U.K., 1990.

    Google Scholar 

  16. Y. Pan and G.J. Klir: Bayesian Inference Based on Interval-Valued Prior Distributions and Likelihoods, J. of Intelligent and Fuzzy Systems, 5(1997), pp. 193–203.

    Google Scholar 

  17. Y. Pan and B. Yuan: Baysian Inference of Fuzzy Probabilities, Int. J. General Systems, 26(1997), pp. 73–90.

    MATH  MathSciNet  Google Scholar 

  18. J.B. Paris, G.M. Wilmers and P.N. Watton: On the Structure of Probability Functions in the Natural World, Int. J. Uncertainty, Fuzziness and Knowledge-Based Systems, 8(2000), pp. 311–329.

    MathSciNet  Google Scholar 

  19. J. Pykacz and B. D’Hooghe: Bell-Type Inequalities in Fuzzy Probability Calculus, Int. J. Uncertainty, Fuzziness and Knowledge-Based Systems, 9(2001), pp. 263–275.

    MathSciNet  Google Scholar 

  20. F. Voorbraak: Partial Probability: Theory and Applications, Int. J. Uncertainty, Fuzziness and Knowledge-Based Systems, 8(2000), pp. 331–345.

    MathSciNet  Google Scholar 

  21. P. Walley: Towards a Unified Theory of Imprecise Probability, Int. J. Approx. Reasoning, 24(2000), pp. 125–148.

    Article  MATH  MathSciNet  Google Scholar 

  22. P. Walley and G. deCooman: A Behavioral Model for Linguistic Uncertainty, Inform. Sci., 134(2001), pp. 1–37.

    Article  MATH  MathSciNet  Google Scholar 

  23. Z. Wang, K.S. Leung, M.L. Wong and J. Fang: A New Type of Nonlinear Integral and the Computational Algorithm, Fuzzy Sets and Systems, 112(2000), pp. 223–231.

    Article  MATH  MathSciNet  Google Scholar 

  24. K. Weichselberger: The Theory of Interval-Probability as a Unifying Concept for Uncertainty, Int. J. Approx. Reasoning, 24(2000), pp. 149–170.

    Article  MATH  MathSciNet  Google Scholar 

  25. L.A. Zadeh: The Concept of a Linguistic Variable and its Application to Approximate Reasoning III, Inform. Sci., 8(1975), pp. 199–249.

    Article  MATH  MathSciNet  Google Scholar 

  26. L.A. Zadeh: Fuzzy Probabilities, Information Processing and Management, 20(1984), pp. 363–372.

    Article  MATH  Google Scholar 

Download references

Rights and permissions

Reprints and permissions

Copyright information

© 2005 Springer-Verlag Berlin Heidelberg

About this chapter

Cite this chapter

(2005). Introduction. In: Fuzzy Probabilities. Studies in Fuzziness and Soft Computing, vol 115. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-32388-0_1

Download citation

  • DOI: https://doi.org/10.1007/3-540-32388-0_1

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-25033-3

  • Online ISBN: 978-3-540-32388-4

  • eBook Packages: EngineeringEngineering (R0)

Publish with us

Policies and ethics

Search

Navigation