中文摘要：

岩土工程中的随机-模糊统计方法用模糊理论准确表达了岩土材料的空间变异性。针对随机-模糊方法权重系数的取值进行了讨论,研究了＂参照点＂在随机-模糊方法的意义,指出了＂参照点＂与核点无限接近时的最大隶属度才是所要求的正确结果,并根据模糊随机原理提出了直接迭代求解目标函数的流程。采用建议方法对某核电岩土工程中的参数进行了计算,获得了取不同＂参照点＂时各样本的隶属度曲线以及＂参照点＂向核点逐步逼近的过程曲线。结果表明,隶属度函数采用指数函数是合理的,样本隶属度分布形态为窄域＂正态＂分布。所得结论可为随机-模糊统计方法在岩土工程中的应用提供基本理论依据。

英文摘要：

Random-fuzzy statistical method can be used to reflect the space variation of geotechnical parameters.The method for determining the weight coefficient is discussed.Especially,the significance of ＂reference point＂ is studied.The results show that when the reference point limitlessly approaches the core point,the corresponding maximum membership degree is just the desired correct result.Based on the principle of random-fuzzy statistical method,an iterative calculation procedure is proposed to calculate the objective function.To analyze the geotechnical parameters in a certain nuclear power plant project,the curves of membership degree of each rock sample against reference point,as well as the procedure curves of reference point approaching core point,are obtained.The results show that the exponential function well expresses the function of membership degree.The distribution of membership degrees of samples exhibits normal distribution of narrow region.Therefore,the random-fuzzy statistical method is consistent with the practice;and then it is better than the conventional random method.