中文摘要：

基于模糊随机变量理论,提出了边坡稳定的模糊响应面法.模糊响应面法将截集法与随机响应面法有机地组合在一起,可同时考虑边坡工程中存在的模糊性与随机性,是随机响应面法的推广.模糊响应面法可将隐式的模糊极限状态函数显式化,因而可以直观地显示基于模糊随机变量理论的模糊随机可靠度分析方法的实质.算例分析表明：可以将参数的不确定性用变异系数及模糊程度参数来表示,变异系数主要影响模糊可靠指标的大小,变异系数越大,可靠指标越小;模糊程度系数主要影响模糊可靠指标的模糊程度,模糊程度系数越大,可靠指标的模糊分布范围越宽.

英文摘要：

Based on the theory of fuzzy random variable,fuzzy response surface method（FRSM） was proposed.FRSM combines the fuzzy cut method with stochastic response surface method,so it can consider fuzziness and randomness simultaneously,and it can be considered as an extension of stochastic response surface method.One merit of FRSM is that it can give the explicit expression of an implicit limit state function,which is very useful to demonstrate the essence of FRSM based on the theory of fuzzy random variable.It is demonstrated from an example that parameter uncertainty of fuzzy random variables can be expressed by the coefficient of variation and the coefficient of fuzziness.The coefficient of variation affects mainly the nominal value of fuzzy reliability index.The larger the value of the coefficient of variation,the smaller is the nominal value of reliability index.The coefficient of fuzziness affects mainly the fuzziness of fuzzy reliability index.The larger the coefficient of fuzziness,the wider is the range of fuzzy reliability index.