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The book explores the innovative use of fuzzy numbers for estimating probabilities and parameters in statistics, moving beyond traditional point estimates. It introduces constrained fuzzy arithmetic to ensure probabilities sum to one and discusses fuzzy random variables with fuzzy distributions. A key focus is on fuzzy normal random variables, which incorporate fuzzy means and variances. Applications span various fields, including queuing theory, Markov chains, inventory control, decision theory, and reliability theory, highlighting the versatility of this approach in practical scenarios.
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Fuzzy Probabilities, James J. Buckley
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- 2014
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