Title: Fuzzy Probabilities: New Approach and Applications (Studies in Fuzziness and Soft Computing)
Publisher: Springer 2013-10-04
Publication Date: 2013
Language: English
ISBN 10: 364286788X
ISBN 13: 9783642867880
Binding: Paperback
Condition: New

About this title

Synopsis

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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