Fuzzy Probabilities: New Approach and Applications
Dis 2012 · Studies in Fuzziness and Soft Computing Ibhuku elingu-115 · Physica
I-Ebook
165
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reportIzilinganiso nezibuyekezo aziqinisekisiwe Funda Kabanzi
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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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