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Fuzzy Probabilities: New Approach and Applications: 115 Softcover reprint of the original 1st ed. 2003 Edition
Author(s): James J. Buckley (Author)
- Publisher: Physica
- Publication Date: 1 Jun. 2012
- Edition: Softcover reprint of the original 1st ed. 2003
- Language: English
- Print length: 177 pages
- ISBN-10: 364286788X
- ISBN-13: 9783642867880
Book 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.
