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- Author: James J. Buckley
- Publisher: Springer-Verlag GmbH
- Year: 2006
- ISBN: 9783540323884
- ISBN-10: 3540323880
- ISBN-13: 9783540323884
- Format: PDF
- Language: English
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Description
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 distribution with fuzzy number mean and variance. Applications are to queuing theory, Markov chains, inventory control, decision theory and reliability theory.
- Author: James J. Buckley
- Publisher: Springer-Verlag GmbH
- Year: 2006
- ISBN: 9783540323884
- ISBN-10: 3540323880
- ISBN-13: 9783540323884
- Format: PDF
- Language: English English
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 distribution with fuzzy number mean and variance. Applications are to queuing theory, Markov chains, inventory control, decision theory and reliability theory.
Reviews