相似单元堤段模糊聚类分析

Fuzzy clustering analysis of similarity unit embankments

对堤防工程采取单元堤段相似性分类便于堤防的安全评价与管理。在划分单元堤段的基础上,拟定单元堤段的属性指标,基于模糊聚类理论对单元堤段的属性指标进行定量指标和定性指标相似性组合度量,构建单元堤段模糊相似矩阵,再通过平方法计算出模糊相似矩阵对应的模糊等价矩阵。通过调整模糊等价矩阵的阈值,获得不同单元堤段的分类组合,再结合混合F统计方法和模糊划分熵确定最佳分类数。

The similarity classification of unit embankments can be used for the safety evaluation and management of embankment engineering. On the basis of division of the unit embankments and their attribute indexes are drafted. According to the fuzzy clustering theory,the attribute indexes of the unit embankments are measured by quantitative and qualitative indexes. The fuzzy similarity matrix for the unit embankments is established,and the relevant fuzzy equivalent matrix is calculated by using the square method. By adjusting the threshold of the fuzzy equivalent matrix,the similarity classifications of different unit embankments are obtained,and then the optimal classification number is determined by combining the mixed F statistical method and the fuzzy partition entropy.