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James J. Buckley

Fuzzy Probabilities

Name: Fuzzy Probabilities
Author: James J. Buckley

New Approach and Applications

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Gebonden, 168 blz. | Engels

Springer Berlin Heidelberg | 1e druk, 2005

ISBN13: 9783540250333

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Springer Berlin Heidelberg 1e druk, 2005 9783540250333

Onderdeel van serie Studies in Fuzziness and Soft Computing

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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.

Specificaties

ISBN13:9783540250333

Taal:Engels

Bindwijze:gebonden

Aantal pagina's:168

Uitgever:Springer Berlin Heidelberg

Druk:1

Serie:Studies in Fuzziness and Soft Computing

Inhoudsopgave

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.

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New Approach and Applications

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