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.
| ISBN: | 9783642421334 |
| Publication date: | 23rd November 2014 |
| Author: | James J Buckley |
| Publisher: | Springer an imprint of Springer Berlin Heidelberg |
| Format: | Paperback |
| Pagination: | 168 pages |
| Series: | Studies in Fuzziness and Soft Computing |
| Genres: |
Probability and statistics Stochastics Artificial intelligence |
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.
Fuzzy Probabilities features in the following genres: Probability and statistics, Stochastics, Artificial intelligence
Fuzzy Probabilities is available in Paperback
Fuzzy Probabilities was written by James J Buckley and published by Springer an imprint of Springer Berlin Heidelberg
Fuzzy Probabilities has 168 pages
Yes it is part of Studies in Fuzziness and Soft Computing series