Abstract
Fuzzy risk priority numbers (FRPNs) were proposed for assessment of the probabilistic risk by synthetically using fuzzy set theory, failure mode and effect analysis. The priority rank of failure modes is evaluated by fuzzy risk priority number in the fuzzy failure mode and effect analysis, where occurrence probability ranking, effect severity ranking and detection difficulty ranking are all fuzzy weighted geometric mean, and the FRPN can be computed using alpha-level set and optimization model. An engine example was provided to illustrate the proposed fuzzy FMEA and the detailed computational process of the FRPNs.
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