James J. Buckley

Fuzzy Probabilities

New Approach and Applications

• Gebundenes 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.

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Produktdetails

• Studies in Fuzziness and Soft Computing 115
• Verlag: Springer / Springer Berlin Heidelberg / Springer, Berlin
• Artikelnr. des Verlages: 11398783, 978-3-540-25033-3
• 2nd ed.
• Seitenzahl: 180
• Erscheinungstermin: 11. März 2005
• Englisch
• Abmessung: 241mm x 160mm x 15mm
• Gewicht: 382g
• ISBN-13: 9783540250333
• ISBN-10: 3540250336
• Artikelnr.: 14172118

Autorenporträt

James J. Buckley, University of Alabama at Birmingham, AL, USA

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.