Fuzzy Probabilities

丛 书 名：Studies in Fuzziness and Soft Computing

版本说明：1

作     者：James J. Buckley 

I S B N：(纸本) 9783642867880 

出 版 社：Physica Heidelberg 

出 版 年：1000年

页      数：XII, 165页

主 题 词：Artificial Intelligence 

摘      要：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.