Fuzzy Probabilities New Approach and Applications /

• Main Author: Buckley, James J. (Author, http://id.loc.gov/vocabulary/relators/aut)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Heidelberg : Physica-Verlag HD : Imprint: Physica, 2003.
• Edition: 1st ed. 2003.
• Series: Studies in Fuzziness and Soft Computing, 115
• Subjects: Artificial intelligence.; Artificial Intelligence.
• Physical Description: XII, 165 p. online resource.
• ISBN: 9783642867866
• ISSN: 1434-9922 ;
• DOI: 10.1007/978-3-642-86786-6

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.