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" Fuzzy Probabilities "
by James J. Buckley.
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BL
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| Record Number
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578528
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b407747
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| Main Entry
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Buckley, James J.
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| Title & Author
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Fuzzy Probabilities : New Approach and Applications /\ by James J. Buckley.
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| Publication Statement
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Heidelberg :: Physica-Verlag HD,, 2003.
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| Series Statement
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Studies in Fuzziness and Soft Computing,; 115
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| ISBN
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9783642867866
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: 9783642867880
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| Contents
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Introduction -- 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 -- Index.
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| Abstract
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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.
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Computer science.
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Artificial intelligence.
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| Added Entry
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SpringerLink (Online service)
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