两种模糊—随机干涉可靠度公式的等价性研究

Equivalence Between Random Threshold Value Simulation Method and Weighted Average Method in Fuzzy Random Reliability Context

文中对模糊—随机干涉模型中存在的两种可靠度计算方法随机阈值模拟法和加权平均法进行了对比;推导出了当随机变量与模糊变量均为连续型时加权平均法的可靠度计算公式;从理论上对随机阈植模拟法和加权平均法的可靠度计算公式的等价性进行了分析研究,并通过算例验证了两种方法在本质上是等价的。

This paper puts forward a fuzzy random reliability formula for weighted average method under condition that random stress and fuzzy strength are all continuous variable. By an analytical comparison of formula for the random threshold value simulation method with that of weighted average method, the equivalence between these two methods is proved in theory An numerical example validates the equivalence.