James J. Buckley

Fuzzy Probabilities

New Approach and Applications

• Broschiertes Buch

Produktbeschreibung

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.

Produktdetails

• Studies in Fuzziness and Soft Computing 115
• Verlag: Springer / Springer Berlin Heidelberg / Springer, Berlin
• Artikelnr. des Verlages: 978-3-642-42133-4
• 2005
• Seitenzahl: 184
• Erscheinungstermin: 23. November 2014
• Englisch
• Abmessung: 235mm x 155mm x 11mm
• Gewicht: 290g
• ISBN-13: 9783642421334
• ISBN-10: 3642421334
• Artikelnr.: 42162908

Inhaltsangabe

Fuzzy Sets.- Fuzzy Probability Theory.- Discrete Fuzzy Random Variables.- Fuzzy Queuing Theory.- Fuzzy Markov Chains.- Fuzzy Decisions Under Risk.- Continuous Fuzzy Random Variables.- Fuzzy Inventory Control.- Joint Fuzzy Probability Distributions.- Applications of Joint Distributions.- Functions of a Fuzzy Random Variable.- Functions of Fuzzy Random Variables.- Law of Large Numbers.- Sums of Fuzzy Random Variables.- Conclusions and Future Research.