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基于联系矩阵的围岩稳定性组合评价模型
引用本文:汪明武,魏东方,周欣玮,汪鹏程. 基于联系矩阵的围岩稳定性组合评价模型[J]. 应用数学和力学, 2015, 36(3): 294-302. DOI: 10.3879/j.issn.1000-0887.2015.03.007
作者姓名:汪明武  魏东方  周欣玮  汪鹏程
作者单位:1合肥工业大学 土木与水利工程学院,合肥 230009;2安徽建筑工业学院 电子与信息工程学院,合肥 230022
基金项目:国家自然科学基金(41172274)~~
摘    要:围岩稳定性评价受诸多类型因素影响,是一个复杂不确定系统问题.为克服基于单一信息评价方法只能从特定角度分析围岩稳定性问题的缺陷,应用集对分析耦合理论探讨了可统一与融合各类信息特点的围岩稳定性组合评价新模型,以充分利用各类评价方法所包含的有用信息和避免单一方法预测错误的风险.该模型首先基于各种典型评价方法独立分析围岩稳定性,然后将获得的评价结果两两构成集对进行同异反分析,以构建联系矩阵和合理确定权重,最后基于组合原理综合评定围岩稳定性类别.实例应用结果表明,该模型用于围岩稳定性评价是有效可行的,且能综合各类评价方法的优点与提高预测精度,也为类似评价问题提供了参考.

关 键 词:围岩稳定性   组合   集对分析   联系矩阵   评价
收稿时间:2014-05-27

Connectional Matrix-Based Combination Evaluation Method for Surrounding Rock Stability
WANG Ming-wu;WEI Dong-fang;ZHOU Xin-wei;WANG Peng-cheng. Connectional Matrix-Based Combination Evaluation Method for Surrounding Rock Stability[J]. Applied Mathematics and Mechanics, 2015, 36(3): 294-302. DOI: 10.3879/j.issn.1000-0887.2015.03.007
Authors:WANG Ming-wu  WEI Dong-fang  ZHOU Xin-wei  WANG Peng-cheng
Affiliation:1School of Civil Engineering, Hefei University of Technology, Hefei 230009, P.R.China;1School of Electronic and Information Engineering, Anhui Jianzhu University,Hefei 230022, P.R.China
Abstract:Evaluation of surrounding rock stability is a complicated system problem involving various uncertain factors. To overcome the drawbacks of conventional evaluation methods based on single-type information, a new combination evaluation method based on set pair analysis was proposed. This method made full use of available information sources from the different conventional methods while avoiding the most erroneous evaluation. First, the problem was treated with the single-type evaluation methods. Then, the set pair consisting of double evaluation results was analyzed on the identical-discrepancy-contrary principle to establish a connectional matrix. And the weights of the realted single-type evaluation methods in the comprehensive model were determined respectively through the connectional matrix. Finally the surrounding rock stability level was evaluated with the linear combination method. The results of the application case show that the proposed model is effective and feasible in improving the prediction accuracy through coupling the advantages of the related conventional evaluation methods. This method makes a good reference for other similar evaluation problems.
Keywords:
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