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Fuzzy Probabilities

Buckley, James J. · 2003

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About the book

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.

Book details

Year
2003
Language
English
Series
Studies in Fuzziness and Soft Computing, 1434-9922 -- 115
Publisher
Physica-Verlag HD
Editions
5
Pages
165
ISBN
9783642867866

Data source: Wikidata

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