Publication year: 2005
ISBN: 978-3-540-32388-4
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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.
Subject: Computer Science, Fuzzy, Probability theory, decision theory, fuzzy numbers, fuzzy parameters, fuzzy probability theory, statistics, uncertain probabilities