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    3. Fuzzy Probabilities: New Approach and Applications (Repost)

    Fuzzy Probabilities: New Approach and Applications (Repost)

    Posted By: elodar
    Date: 15 Nov 2011 00:57:41
    Fuzzy Probabilities: New Approach and Applications (Repost)

    James J. Buckley, "Fuzzy Probabilities: New Approach and Applications"
    Springer | English | 2005-06-01 | ISBN: 3540250336 | 179 pages | PDF | 6.1 mb

    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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