H. Tanaka, L.T. Fan, F.S. Lai, and K. Toguchi. Fault-Tree Analysis by Fuzzy Probability. IEEE Transactions on Reliability, 32(5):453--457, 1983. Home/Search Document Not in Database Summary Related Articles Check |
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Uncertainty Representation Frameworks For Probabilistic.. - KWIESIELEWICZ, KOSMOWSKI (Correct)
....as: T = A 1 [ A 2 = X 1 X 2 ) X 3 [ X 4 ) 53) where X i for i = 1; 4 are the failure probabilities. Thus the probability of the top event is: P T (p x 1 ; p x 4 ) 1 Gamma (1 Gamma p x 1 p x 2 ) 1 Gamma p x 3 ) 1 Gamma p x 4 ) 54) Fuzzyfying the above equation (Tanaka, Fan, Lai, and Toguchi 1983) we obtain: g P T 1 = 1 Psi (1 Psi g p x 1 fi g p x 2 ) fi (1 Psi g p x 3 ) fi (1 Psi g p x 4 ) 55) where f p x i for i = 1; 4 are fuzzy probabilities or possibilities of failure probabilities. Now to calculate the fuzzy probability of the top event the fuzzy number arithmetic Eq. ....
Tanaka, H., L. Fan, F. Lai, and H. Toguchi (1983). Fault--tree analysis by fuzzy probability.
Interval Methods for Fault-Tree Analyses in Robotics - Carreras, Walker (Correct)
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H. Tanaka, L.T. Fan, F.S. Lai, and K. Toguchi. Fault-Tree Analysis by Fuzzy Probability. IEEE Transactions on Reliability, 32(5):453--457, 1983.
Interval Methods for Improved Robot Reliability Estimation - Carreras, Walker (2000) (Correct)
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H. Tanaka, L.T. Fan, F.S. Lai, and K. Toguchi. Fault-Tree Analysis by Fuzzy Probability. IEEE Transactions on Reliability, 32(5):453--457, 1983.
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