Uncertain probabilities III: the continuous case

Authors:
J. J. Buckley
Affiliations:
University of Alabama at Birmingham, Department of Mathematics, USA
Venue:
Soft Computing - A Fusion of Foundations, Methodologies and Applications
Year:
2004

Citing 0
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Abstract

We consider joint probability density functions where some of the parameters are uncertain. We model these uncertainties using fuzzy numbers producing fuzzy joint probability density functions. Then we study the fuzzy marginal densities, the fuzzy conditional densities and fuzzy correlation. We look at one particular fuzzy joint density: the fuzzy bivariate normal. An application in fuzzy reliability theory is presented.