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Uncertain probabilities III: the continuous case

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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.

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  1. Department of Mathematics, University of Alabama at Birmingham, Birmingham, Alabama, 35294, USA

    J. J. Buckley

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  1. J. J. Buckley
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Correspondence to J. J. Buckley.

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Buckley, J. Uncertain probabilities III: the continuous case. Soft Computing 8, 200–206 (2004). https://doi.org/10.1007/s00500-003-0263-5

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  • DOI: https://doi.org/10.1007/s00500-003-0263-5

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