基于粗集-模糊聚类理论单元堤段分类方法研究

Research on Classification of Unit Embankments Based on Rough Set-Fuzzy Clustering Theory

堤防可视作由若干单元堤段组成,对单元堤段按相似性分类可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,基于粗集-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,采用平方法计算出模糊相似矩阵对应的模糊等价矩阵,通过设定模糊等价矩阵的阈值,对单元堤段进行聚类分析,实现相似性单元堤段分类。

Embankment can be considered as composed of a number of unit embankments, and the similarity classification of unit embankments can facilitate the safety evaluation and management of it. On the basis of division of unit embankment and its attribute indexes are drafted. Based on the rough set-fuzzy clustering, the attribute indexes of the unit embankment are measured by quantitative and qualitative indexes. Construct to fuzzy similarity matrix of unit embankments then calculate fuzzy equivalent matrix of fuzzy similarity matrix by square method. By setting the threshold of the fuzzy equivalence matrix, the unit embankments are classified.