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.
- ISBN10 379081542X
- ISBN13 9783790815429
- Publish Date November 2002 (first published 26 November 2002)
- Publish Status Active
- Out of Print 10 July 2021
- Publish Country DE
- Imprint Physica-Verlag GmbH & Co
- Format Hardcover
- Pages 165
- Language English