Fuzzy Probabilities New Approach and Applications |
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| Author:
| Buckley, James J. |
| Series title: | Studies in Fuzziness and Soft Computing Ser. |
| ISBN: | 978-3-540-32388-4 |
| Publication Date: | Jul 2006 |
| Publisher: | Springer London, Limited
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| Book Format: | Ebook |
| List Price: | USD $179.00 |
Book Description:
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In probability and statistics we often have to estimate probabilities and parameters in probability distributions using a random sample. Instead of using a point estimate calculated from the data we propose using fuzzy numbers which are constructed from a set of confidence intervals. In probability calculations we apply constrained fuzzy arithmetic because probabilities must add to one. Fuzzy random variables have fuzzy distributions. A fuzzy normal random variable has the normal...
More DescriptionIn probability and statistics we often have to estimate probabilities and parameters in probability distributions using a random sample. Instead of using a point estimate calculated from the data we propose using fuzzy numbers which are constructed from a set of confidence intervals. In probability calculations we apply constrained fuzzy arithmetic because probabilities must add to one. Fuzzy random variables have fuzzy distributions. A fuzzy normal random variable has the normal distribution with fuzzy number mean and variance. Applications are to queuing theory, Markov chains, inventory control, decision theory and reliability theory.