基于权的最小平方法和可拓学的高陡岩质边坡稳定性评价

为准确评价高陡岩质边坡的稳定性，基于权的最小平方法和物元概念的可拓学理论，建立高陡岩质边坡的稳定性评价模型。构建多层次多指标的高陡岩质边坡稳定性评价指标体系，采用权的最小平方法确定各评价指标权重，构造经典域、节域和关联函数，计算等级关联度，得到边坡的稳定性等级。通过分析拉日铁路盆因拉隧道进口边坡稳定性的实例，验证评价模型的有效性。

Stability Evaluation of High Steep Rock Slope Based on the Weighted Least-square Method and Extenics

In order to evaluate the stability of high steep rock slope accurately, the stability evaluation model of high steep rock slope is established based on the extenics about the matter-element concept and the weighted least-square method. This paper builds a multi-level and multi-index stability evaluation index system of high steep rock slope. The weight of each evaluation index is determined by the weighted least-square method. The classical field, joint field and the correlation function are constructed by the extenics to calculate the level of correlation degree and obtain the stability level of the slope. The validity of the evaluation model is verified by analyzing the stability of Penyinla Tunnel entrance slope of the Lhasa-Shigatse Railway.