James J. Buckley

Fuzzy Probabilities (eBook, PDF)

New Approach and Applications

• Format: PDF

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

• Verlag: Springer Berlin Heidelberg
• Seitenzahl: 168
• Erscheinungstermin: 7. Juli 2006
• Englisch
• ISBN-13: 9783540323884
• Artikelnr.: 44127271

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.