ENGLISH

Fuzzy Probabilities: New Approach and Applications

By Professor James J. Buckley (auth.)

Book information

Publisher
Springer-Verlag Berlin Heidelberg
Year
2005
ISBN
978-3-540-25033-3, 978-3-540-32388-4
DOI
10.1007/3-540-32388-0
Language
english
Format
PDF
Filesize
2 MB (1877124 bytes)
Series
Studies in Fuzziness and Soft Computing 115
Edition
1
Pages
168\167
Time added
2013-12-12 02:00:00
Artificial Intelligence (incl. Robotics)

Description

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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