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Fuzzy Probabilities: New Approach and Applications

Fuzzy Probabilities: New Approach and Applications

Paperback

Series: Studies in Fuzziness and Soft Computing, Book 115

General ComputersGeneral GardeningProbability & Statistics

ISBN10: 364286788X
ISBN13: 9783642867880
Publisher: Physica-Verlag
Published: Jun 1 2012
Pages: 165
Weight: 0.57
Height: 0.38 Width: 6.14 Depth: 9.21
Language: English
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.

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Buckley, James J.

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General Computers