Interval Analysis Method of Fault Tree Based on Convex Model
A novel interval analysis method of fault tree is proposed. Evidence theory is applied to calculate the interval probability of basic events. Convex model is applied to structure the interval operators for interval analysis, and Monte-Carlo simulation method is used to calculate conditional extreme. Simulation result demonstrates that the proposed method is coinciding with the practical applications very well, and can be applied when statistical data are incomplete.
Y. M. Xiong et al., "Interval Analysis Method of Fault Tree Based on Convex Model", Advanced Materials Research, Vols. 314-316, pp. 2569-2573, 2011