TY - BOOK AU - ED - SpringerLink (Online service) TI - Fuzzy Probabilities: New Approach and Applications T2 - Studies in Fuzziness and Soft Computing, SN - 9783540323884 AV - Q334-342 U1 - 006.3 23 PY - 2005/// CY - Berlin, Heidelberg PB - Springer Berlin Heidelberg KW - Computer science KW - Artificial intelligence KW - Computer Science KW - Artificial Intelligence (incl. Robotics) N1 - 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; ZDB-2-ENG N2 - 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 UR - http://dx.doi.org/10.1007/3-540-32388-0 ER -