熵权和集对的耦合模型评价盾构隧道健康

Health Evaluating for Shield Tunnel by Entropy Weight and Set Pair Coupling Model

考虑到盾构隧道健康评价的模糊性与不确定性,建立熵权与集对理论耦合的评价模型,对盾构隧道进行健康状态评价。选取了横断面收敛等7项指标作为指标体系,采用信息熵来反映指标内在重要程度的不同,并计算权重,使权重的分配具有一定的理论基础及客观性,熵权结果显示权重前三位依次为变形缝变形、纵向沉降曲率以及横断面收敛。引入集对理论来分析每个评价样本与各评价等级的集对联系度,做同异反分析,将评价过程中不确定性的因素进行分解。最后通过比较联系度特征值的大小,对评价样本健康等级进行划定。经实际工程分析,表明该方法可行,能科学客观地反映隧道健康状态。

Given fuzziness and uncertainty of health assessment of shield tunnel health evaluation,a model of health assessment is introduced. Including the change rate of diameter,7 indexes are selected to be the index system,the distribution of the weight of each index is determined by using the entropy value theory in information theory,which reflect the different degrees importance within the indicators,to form a theoretical and objective distribution weight,the result of entropy weight demonstrates that the top three indexes are settlement joint,settlement curvature and convergent of section. Set pair theory,which can embody and analyze the relationship of identity-discrepancycontrary,is introduced to analyze the connection degree of set pair between each evaluation sample and each evaluation grade,and decompose uncertain factors in the process of assessment. Finally,through the comparison between the size of eigenvalue of connection degree,to determine the health level of the evaluation sample. The project demonstrates that the model can reasonably and objectively reflect the health status of the tunnel.