基于组合权重的模糊物元模型在边坡稳定性评价中的应用

摘要

In view of the complexity,uncertainty,and fuzziness of the factors involved in evaluating slope stability,based on the fuzzy matter-element theory,we calculated the objective and subjective weights of the influence factors using the analytic hierarchy process and the entropy weight method.Then,we established a fuzzy matter-element model based on the coefficients of combined weights that considers both objective and subjective factors.The problem of weight allocation can be avoided by employing our proposed method.A comprehensive evaluation can be made by using this matter-element model along with the subjective and objective weighting method,both of which make the best use of statistical information from samples,based on expert theories and experience,to obtain reasonable index weights.We conduct a case study to demonstrate that this method can not only accurately estimate the slope stability but also provides a new way to evaluate slope stability.%鉴于边坡稳定性评价的复杂性及其影响因素的不确定性和模糊性,运用模糊物元分析理论,分别使用层次分析法和熵权法计算各影响因子的主、客观权重值,建立兼顾主、客观因素的组合权重模糊物元评价模型.该模型有效避免了权重分配困难的问题,既能得到综合评价信息,也能反映评价对象的稳定状态.主、客观权重法既利用了样本资料的统计信息,又反映了专家的理论知识和经验,可得到较为客观、合理的指标权重.工程实例分析表明,该方法能准确反映边坡稳定性状况,为边坡稳定性的综合评价提供一条新的思路.