基于优化模糊数学方法的黄土边坡稳定性评价

黄土地区的滑坡灾害严重制约了地区经济的发展，因此快速准确的评价边坡的稳定性具有重要意义。首先，考虑诱发黄土滑坡因素具有不确定性和模糊性的特点，提出了重要性比较法用于评价因素集的权重；其次，引入模糊可变集合方法用于求解黄土边坡稳定性影响因素的隶属度；最后，利用级别特征值法实现了边坡稳定性等级分级，并基于MATLAB软件编译了边坡稳定分级方法程序，形成了一种快速准确的边坡稳定性分级方法。为验证本文评价方法的准确性对已有文献中燕麦沟、道南隧道两黄土边坡进行了稳定性分级评价，评价结果与已有文献结果一致，证明了评价方法的正确性。在此基础上对黄-延高速某一黄土边坡开展了稳定性评价分析，以长期的监测数据为佐证，进一步验证了本文的评价方法适用于黄土边坡的稳定性评价。

Stability Evaluation of Loess Slope Based on Optimized Fuzzy Mathematics Method

The landslide disaster in the loess area seriously restricts the development of the regional economy, so it is of great significance to quickly and accurately evaluate the stability of the slope. Firstly, considering the uncertainty and ambiguity of the factors inducing loess landslide, the Importance comparison method is used to evaluate the weight of factors. Secondly, the fuzzy variable set method is applied to solve the membership degree that affects the stability factors of the slope. Finally, the grade level eigenvalues method is used to solve the slope stability grade. Based on MATLAB software, the slope stability classification method is compiled, and a fast and accurate slope stability classification method is formed. Using this method, the stability evaluation of the two loess slopes of Dao Nan tunnel and Yan Mai ditch in the existing literature is carried out. The evaluation results are consistent with the results of the existing literature. On this basis, the stability evaluation of Huang-Yan high-speed loess slope was carried out. The reliability and practicability of the evaluation method were further verified by long-term monitoring data as evidence. The long-term monitoring data is used to prove that the evaluation method is suitable for the stability evaluation of loess slope.