James J. Buckley
Fuzzy Probabilities
New Approach and Applications
Gebonden Engels 2005 1e druk 9783540250333Levertijd ongeveer 9 werkdagen
Gratis verzonden
Samenvatting
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
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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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