中文摘要：

考虑变量的模糊性，以模糊随机变量为基本变量，建立了模糊随机可靠度的数学模型，并提出应用改进的蒙特卡罗法（Monte Carlo Method）计算模糊随机可靠度．应用该方法，以型钢混凝土简支梁为例，计算了其裂缝宽度正常使用极限状态的模糊随机可靠度，从计算示例可以看出，提出的改进的蒙特卡罗法计算模糊随机可靠度是一种简单有效的方法，为模糊随机可靠度的计算提供了一条新途径。

英文摘要：

A mathematical model of fuzzy random reliability is developed, taking fuzzy random variables as basic variables. An improved Monte Carlo method is presented to calculate the fuzzy random reliability. As an example, it is used to calculate the fuzzy random reliability of the crack width of a steel reinforced concrete（SRC） simply supported beam at serviceability limit state. This indicates the improved Monte Carlo method is simple and effective. It is a new way to calculate fuzzy random reliability.