Fuzzy Probabilities New Approach and Applications /

Buckley, James J.

Fuzzy Probabilities New Approach and Applications / [electronic resource] : by James J. Buckley. - XI, 168 p. online resource. - Studies in Fuzziness and Soft Computing, 115 1434-9922 ; . - Studies in Fuzziness and Soft Computing, 115 .

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

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.

9783540323884

10.1007/3-540-32388-0 doi


Computer science.
Artificial intelligence.
Computer Science.
Artificial Intelligence (incl. Robotics).

Q334-342 TJ210.2-211.495

006.3