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
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摘要
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。
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.
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.
引文
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[11]丁丽宏.基于改进的灰关联分析和层次分析法的边坡稳定性研究[J].岩土力学,2011,32(11):3437-3441.DING Lihong.Research on Estimation of Slope Stability Based on Improved Grey Correlation Analysis and Analytic Hierarchy Process[J].Rock and Soil Mechanics,2011,32(11):3437-3441.
[2]贾东远,阴可,李艳华.岩石边坡稳定性分方法[J].地下空间,2004,24(2):250-255.JIA Dongyuan,YIN Ke,LI Yanhua.Analytical Method for Slope Stability[J].Underground Space,2004,24(2):250-255.
[3]罗泽华,黄吕卫,刘高,等.基于因子敏感性的灰色关联度及其在斜坡稳定性预测中的应用[J].兰州大学学报:自然科学版,2016,52(4):429-433.LUO Zehua,HUANG Lüwei,LIU Gao,et al.Grey Correlation Degree Based on Sensitivity Coefficient and Its Application in Predicting the Stability of Slope[J].Journal of Lanzhou University:Natural Sciences,2016,52(4):429-433.
[4]张斌,雍岐东,肖芳淳.模糊物元分析[M].北京:石油工业出版社,1997.ZHANG Bin,YONG Qidong,XIAO Fangchun.Fuzzy Matter Element Analysis[M].Beijing:Petroleum Industry Press,1997.
[5]张先起,梁川.基于熵权的模糊物元模型在水质综合评价中的应用[J].水利学报,2005,36(9):1057-1061.ZHANG Xianqi,LIANG Chuan.Application of Fuzzy Matterelement Model Based on Coefficients of Entropy in Comprehensive Evaluation of Water Quality[J].Journal of Hydraulic Engineering,2005,36(9):1057-1061.
[6]邱菀华.管理决策与应用熵学[M].北京:机械工业出版社,2001.QIU Wanhua.Management Decision and Applied Entropy[M].Beijing:Machinery Industry Press,2001.
[7]黄增彦,王广月,李倩.基于可拓学的砂土液化等级评价研究[J].山东大学学报(工学版),2008,38(5):31-35.HUANG Zengyan,WANG Guangyue,LI Qian.Rank Evaluation of Sand Liquefaction Based on Extension[J].Journal of Shandong University(Engineering Science),2008,38(5):31-35.
[8]吴仲雄,高清平.改进AHP法在采矿方法多目标决策中的应用[J].矿业工程,2005,3(5):18-20.WU Zhongxiong,GAO Qingping.Improved AHP Application in the Multi-objective Decision for Mining Method Selection[J].Mining Engineering,2005,3(5):18-20.
[9]李克钢,侯克鹏,李旺.指标动态权重对边坡稳定性的影响研究[J].岩土力学,2009,30(2):492-496.LI Kegang,HOU Kepeng,LI Wang.Research on Influences of Factors Dynamic Weight on Slope Stability[J].Rock and Soil Mechanics,2009,30(2):492-496.
[10]王润生,李存国,郭立稳.基于可拓理论的高陡边坡稳定性评价[J].矿业安全与环保,2008,35(6):25-28.WANG Runsheng,LI Cunguo,GUO Liwen.Research on Evaluation of the High-steep Slope Stability Based on the Extension Theory[J].Mining Safety&Environmental Protection,2008,35(6):25-28.
[11]丁丽宏.基于改进的灰关联分析和层次分析法的边坡稳定性研究[J].岩土力学,2011,32(11):3437-3441.DING Lihong.Research on Estimation of Slope Stability Based on Improved Grey Correlation Analysis and Analytic Hierarchy Process[J].Rock and Soil Mechanics,2011,32(11):3437-3441.