Fuzzy Probabilities: New Approach and Applications (Paperback) (ISBN-13: 9783642867880)

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
ISBN-10: 364286788X
ISBN-13: 9783642867880
Publisher: Physica-Verlag
Language: English
Published: 06/01/2012
Pages: 165
Format: Paperback
Weight: 0.57lbs
Size: 9.21h x 6.14w x 0.38d