岩土参数随机-模糊统计中的隶属函数形式

On the Membership Functions in a Random-fuzzy Statistics Method for Geotechnical Parameters

岩土参数样本是同时含有随机不确定性和模糊不确定性的随机-模糊样本,此类样本值的隶属函数是随机-模糊统计中一个至关重要的问題。本文从理论上导出了这种隶属函数的数学形式,具有普遍的指导意义,算例表明了它的实用价值。

The uncertainties of geotechnical parameters are analysed in this paper.The concept of a random-fuzzy sample is established. The membership functions of the experimental values of geotechnical parameters are derived, and the corresponding random-fuzzy statistics formulae for treating the experimental values considering both the random uncertainty and fuzzy uncertainty of the values are given. The results obtained show that the recommended membership functions are rational and the suggested randomfuzzy statistics method is more realistic and better than the conventional one.