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针对模糊变量和随机变量同时存在的混合可靠性问题,建立了模糊失效概率计算的自适应截断抽样法。所建方法在给定的隶属水平确定的模糊变量隶属区间内,遍历抽取模糊变量的样本。对于每一个模糊变量样本,采用自适应截断抽样法来计算随机变量作用下的失效概率,并求得给定隶属度水平下模糊失效概率的上下界。由于自适应截断抽样法在求解随机变量作用下的失效概率时具有高效和稳健的优点,因此基于该方法建立的模糊失效概率计算方法也继承了这些优点,并且这些优点也得到了算例的验证。
Aiming at the mixed reliability problem that the fuzzy variables and the random variables coexist, an adaptive truncated sampling method for calculating the fuzzy failure probability is established. The proposed method traverses and extracts the samples of fuzzy variables within the given subordinate interval of fuzzy variables. For each fuzzy variable sample, the adaptive truncated sampling method is used to calculate the failure probability under random variables, and the upper and lower bounds of the fuzzy failure probability at a given membership level are obtained. Since the adaptive truncated sampling method has the advantages of high efficiency and robustness in solving the failure probability under the effect of random variables, the fuzzy failure probability calculation method established based on this method inherits these advantages, and these advantages have also been verified by examples .