Fuzzy Probabilities New Approach and Applications /

• Main Author: Buckley, James J. (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Berlin, Heidelberg : Springer Berlin Heidelberg, 2005.
• Series: Studies in Fuzziness and Soft Computing, 115
• Subjects: Mathematics.; Artificial intelligence.; Probabilities.; Probability Theory and Stochastic Processes.; Artificial Intelligence (incl. Robotics).
• Physical Description: XI, 168 p. online resource.
• ISBN: 9783540323884
• ISSN: 1434-9922 ;

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.