基于博弈论组合赋权的边坡稳定性集对分析  

Set Pair Analysis of Slope Stability Evaluation Based on Combination Weighting Game Theory

作　　者：刘国颂 綦春明[1] 聂春龙[1] 胡杰[1] 

机构地区：[1]南华大学城市建设学院,湖南衡阳421000

出　　处：《长江科学院院报》2014年第6期83-88,共6页Journal of Changjiang River Scientific Research Institute

基　　金：湖南省教育厅资助项目(12C0366)

摘　　要：针对多种不确定性因素影响的边坡稳定性评价问题,提出了基于博弈论组合赋权的集对分析评价模型。首先综合选择了7项评价指标并建立了评价标准,运用博弈论优化模型,将由层次分析法和熵权法确定的主客观权重相结合,避免了单一权重确定方法片面性的问题;然后利用集对分析理论,通过对样本特征进行同一性、差异性、对立性分析,计算得到了集对的同异反联系度;最后结合置信度准则(λ=0.6)判断出边坡的稳定等级。实例应用表明,评价结果与灰关联分析、可拓评价的结果比较一致,证明了方法是可行的。In view of slope stability evaluation affected by multiple uncertainty factors, we proposed a set pair analysis evaluation model based on combination weighting game theory. First, by comprehensively considering various factors, we selected seven indexes and established the evaluation criteria. The one-sidedness of single weight method is avoided by using the game theory optimization model to combine the subjective and objective weights which are calculated by analytic hierarchy process and entropy method respectively. Then we obtained the sets identity and discrepancy contrary by analyzing the identity, discrepancy and contradiction of the simple characteristics in set pair analysis. Finally, we identified the level of slope stability through the confidence criterion （ λ = 0.6）. Case study shows that the evaluation results agree well with those by grey correlation analysis and extension evaluation, which proves that this method is feasible to estimating slope stability.

关 键 词：边坡稳定性 博弈论 集对分析 联系度 

分 类 号：TU43[建筑科学—岩土工程]