Fuzzy Probabilities : New Approach and Applications (9783540250333)

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.

Product details

• Format Hardback | 168 pages
• Dimensions 155 x 235 x 12.7mm | 442g
• Publication date 31 May 2005
• Publisher Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
• Imprint Springer-Verlag Berlin and Heidelberg GmbH & Co. K
• Publication City/Country Berlin, Germany
• Language English
• Edition Statement 1st ed. 2003. 2nd printing 2005
• Illustrations note XI, 168 p.
• ISBN10 3540250336
• ISBN13 9783540250333

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