一种基于卷积模糊算子的故障树分析方法

A New Fault Tree Analysis Method Based on Convolutive Fuzzy Arithmetic

首先引入模糊数学中的扩展原理和α -截集区间运算 ,然后利用卷积方法对模糊算子进行改进 ,并对基于故障树各底事件发生概率为梯形模糊数情形的故障树分析方法做了研究 ,最后给出了一个应用实例。研究结果表明 ,该方法在减小模糊计算中的“扩散性”问题上具有显著效果 ,在可靠性工程中具有一定的应用前景。

In this paper,we present a FFTA method based on convolutive fuzzy arithmetic and trapezoid fuzzy numbers for each elementary event's probability after introduction to extension principle and α-cut interval arithmetic in fuzzy mathematics.Finally,an example is given.This method takes advantages on reducing 'spread' problem in fuzzy arithmetic and can be further applied to reliability engineering.