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中文摘要：
考虑到与岩土体相关地质参数的不确定性和边坡稳定性状态的模糊性,介绍一种适用于边坡稳定性分析的模糊数学方法,即上下限法。该方法首先将岩土体的参数模糊化处理,用三角模糊数来描述岩土体参数。经过模糊化处理的参数取不同的定值时有与之相对应的置信水平,将不同置信水平下的参数组合代入极限平衡公式中,就可计算出边坡安全系数的模糊集,同时模糊集合中的每一数值也有相对应的置信水平,可用于边坡稳定性评价之中。最后,将该方法用于具体的边坡工程实例中,研究结果表明：该方法能够有效地处理边坡稳定性分析中的参数不确定问题。
英文摘要：
Considering the uncertainty of geological parameters on rock and soil and the vagueness of the state of rock stability, a fuzzy mathematical approach （upper and lower bound method） applied in slope stability analysis was introduced. The first step is to fuzz the geological parameters, namely using triangular fuzzy numbers to describe properties of rock and soil. After fuzzy processing, the range of a parameter will have a corresponding confidence level. Then taking sets of parameters corresponded to different confidence levels into limit equilibrium formula, the fuzzy sets of safety factors can he calculated, which also have corresponding confidence levels simultaneously. Finally, a case of study was presented to demonstrate this approach. Results indicate that this methodology is effective to handle the parameter uncertainty in slope stability analysis.
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