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Uncertain probabilities I: the discrete case

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Abstract

We consider discrete (finite) probability distributions where some of the probability values are uncertain. We model these uncertainties using fuzzy numbers. Then, employing restricted fuzzy arithmetic, we derive the basic laws of fuzzy (uncertain) probability theory. Applications are to the binomial probability distribution and queuing theory.

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Authors and Affiliations

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

    J. J. Buckley

  2. Department of Mathematics, Shahid Bahonar Universty of Kerman, Kerman, Iran

    E. Eslami

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  1. J. J. Buckley
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  2. E. Eslami
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Correspondence to J. J. Buckley.

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Buckley, J., Eslami, E. Uncertain probabilities I: the discrete case. Soft Computing 7, 500–505 (2003). https://doi.org/10.1007/s00500-002-0234-2

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  • DOI: https://doi.org/10.1007/s00500-002-0234-2

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