Joint Fuzzy Probability Distributions

  • James J. Buckley
Part of the Studies in Fuzziness and Soft Computing book series (STUDFUZZ, volume 115)


This Chapter generalizes Chapters 4 and 8 to multivariable fuzzy probability distributions. Since the discrete case and the continuous case are similar, just interchange summation and integrals symbols, we only present the continuous case in Section 10.2. Applications are in the next Chapter. The continuous case is based on [1]. For simplicity we will consider only the joint fuzzy probability distributions for two fuzzy random variables.


Probability Density Function Fuzzy Number Conditional Variance Fuzzy Variance Conditional Density 
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  1. 1.
    J.J. Buckley: Uncertain Probabilities III: The Continuous Case. Under review.Google Scholar
  2. 2.
    R.V. Hogg and A.T. Craig, Introduction to Mathematical Statistics, 4 Edition, Macmillan, N.Y., N.Y., 1970.Google Scholar

Copyright information

© Physica-Verlag Heidelberg 2003

Authors and Affiliations

  • James J. Buckley
    • 1
  1. 1.Mathematics DepartmentUniversity of Alabama at BirminghamBirminghamUSA

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