边坡稳定性分类评价的同伦模糊C-均值聚类算法  

Study of classified evaluation of slope stability based on homotopy fuzzy C-mean clustering algorithm

作　　者：文建华[1] 周翠英[1] 黄林冲[1] 程晔[1] 

机构地区：[1]中山大学工学院,广州510275

出　　处：《岩土力学》2012年第5期1457-1461,共5页Rock and Soil Mechanics

基　　金：国家博士后基金(No.20100488020);国家863高技术研究发展计划(No.2007AA11Z112);国家自然科学基金(No.40672194);高等学校博士学科点基金(No.20060558060);广东省科技计划项目(No.2009B60700114)

摘　　要：针对单一模糊C-均值聚类算法对初始聚类中心初值敏感性问题,引入同伦理论,提出了同伦模糊C-均值聚类算法。以三峡库岸研究程度较高的36个边坡为对象,采用同伦模糊C-均值聚类算法对边坡的稳定性进行分类,研究边坡最佳分类级数和算法的收敛性、可靠性。边坡聚类结果研究表明,同伦模糊C-均值聚类算法对初始聚类中心的选取没有明显的依赖性,是一个具有全局最优解的聚类方法,其结果明显好于单一模糊C-均值聚类算法。In order to overcome the shortcoming of sensitivity to the original clustering center in ordinary fuzzy C-mean clustering algorithm,the homotopy theory is introduced to combine with this algorithm to establish a new method of homotopy fuzzy C-mean Clustering algorithm for evaluation of slope stability.Then the method is applied to studying stability of 36 slopes at banks of the Three Gorges Reservoir;and then some characteristics such as the best sample classification and convergence effect of homotopy fuzzy C-mean clustering algorithm are discussed.Clustering results show that the proposed method is a reasonable classification algorithm with global optimization and superior to the ordinary fuzzy C-mean clustering algorithm.

关 键 词：同伦理论 模糊C-均值聚类算法 边坡稳定性分类 

分 类 号：TU457[建筑科学—岩土工程]