基于多层次未确知测度-集对分析的岩质边坡稳定性分级体系

Stability gradation of rock slopes based on multilevel uncertainty measure-set pair analysis theory

应用未确知测度理论、层次分析和集对分析建立岩质边坡稳定性分级评级体系。根据边坡稳定性影响因素分级评价标准划分单指标隶属度,计算各指标权重与综合测度评价向量;应用集对分析理论优化置信度评价过程,同时引入同异反确定不确定体系,通过集对分析关联系数和集对势分析定量地给出露天岩质边坡稳定性分级。以实际露天边坡为例进行稳定性评价,并与未确知测度理论和层次-可拓模型进行比较。研究结果表明:评价结果满足工程要求,与实际情况相符;多层次未确知测度-集对分析综合评价体系能综合、客观地对岩质边坡稳定性进行分级。

The evaluation system of slope stability was established based on analytic hierarchy process（AHP）, unascertained measure theory and set pair analysis. Uncertainty measurement of single index was achieved by dividing the value interval of grading standard reasonably, and the index weights and comprehensive measure evaluation vector were calculated. Set pair analysis was applied to optimize the evaluation process of confidence interval and set up certainty ＆ uncertainty system of ＂accordance, difference, opposite＂. Through correlation coefficients and set pair potency, the stability classification of rock slopes was presented quantificationally. The rock slopes of open-pit mines were taken as example, and the results of unascertained measurement theory were compared with those of AHP-extenics model. The results show that the evaluation system of AHP unascertained measurement-set pair analysis can satisfy the engineering demand and accord with the actual situation of the slopes. It can be used to classify the stability of rock slopes comprehensively and objectively.