基于集对云模型的边坡稳定性评价

Slope stability evaluation based on set pair cloud model

集对分析对边坡稳定性进行评价时,采用线性公式来表达联系度,难以准确反映工程实际,且具体的联系度扼杀了系统的随机性。对此,将云理论中"隶属云"的概念引入对联系度进行改进得到云联系度,形成了集对云模型。该模型将云联系度矩阵与云理论改进AHP确定的权重矩阵相结合,得到综合云联系度矩阵,通过云发生器绘出等级云图。该模型兼顾系统的模糊性和随机性,且实现了等级的可视化,并通过X云发生器得到隶属不同等级的概率。将该模型应用于边坡工程中,与既有模型和工程实际进行对比分析,验证该模型的准确性,并对不同的边坡进行稳定性排序。模型结合云理论与集对分析的优点,充分考虑系统的随机性,为边坡稳定性评价提供了一种思路和参考。

When the set pair analysis is applied to evaluate slope stability,the connection degree is usually decided by linear function,which can’t reflect the actual conditions of the engineering project objectively and comprehensively and neglect the system randomness.The set pair analysis theory is improved by application of cloud theory which is superior in dealing with the connection degree and set pair analysis-cloud model of slope stability evaluation is established.In this model,the weight matrix is obtained by using the cloud theory to improve the AHP,and the evaluation matrix is obtained by combining with the connection degree evaluation matrix.Then the cloud model of the result of slope stability is generated,in turn the evaluation results and their visual cloud figures are obtained.The X-cloud generator can be used to calculate the probability of different grades.The model was applied in slope engineering,comparative analysis was carried out for the existing models and engineering practice to verify the veracity of the model,and the stability of different slopes was ranked.The model combines the advantages of the cloud theory and set pair analysis,considers fully the randomness of the system,provides a scientific and accurate method for the slope stability evaluation.