边坡稳定性分类评价的同伦模糊C-均值聚类算法
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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.
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.
引文
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[17]张均锋,丁桦,白金泽.奉节白衣庵老苍屋新滑坡成因分析[J].岩土力学,2004,25(11):1841-1844.ZHANG Jun-feng,DING Hua,BAI Jin-ze.Analysis of mechanism of a new land slide in Fengjie,Chongqing,China[J].Rock and Soil Mechanics,2004,25(11):1841-1844.
[2]张元才,黄润秋,赵立冬,等.天山公路边坡岩体质量评价TSMR体系研究[J].岩石力学与工程学报,2010,29(3):617-623.ZHANG Yuan-cai,HUANG Run-qiu,ZHAO Li-dong,et al.Study of Tianshan slope rock mass rating(TSMR)system[J].Chinese Journal of Rock Mechanics and Engineering,2010,29(3):617-623.
[3]高科,李夕兵,宫凤强.基于突变级数法的边坡地震稳定性综合评价[J].地下空间与工程学报,2009,5(2):406-411.GAO Ke,LI Xi-bing,GONG Feng-qiang.Integrative evaluation on seismic stability of slopes based on catastrophe progression method[J].Chinese Journal of Underground Space and Engineering,2009,5(2):406-411.
[4]邱骋,谢谟文,江崎哲郎,等.基于三维力学模型的大范围自然边坡稳定性概率评价方法[J].岩石力学与工程学报,2008,27(11):2281-2287.QIU Cheng,XIE Mo-wen,ESAKI Teturo,et al.A 3D deterministic model based probabilistic method for landslide hazard assessment of large mountainous area[J].Chinese Journal of Rock Mechanics and Engineering,2008,27(11):2281-2287.
[5]XIE QUAN MIN,ZHU RUI GENG.Grey classification for evaluating the stability of dangerous rock-block masses[J].Journal of Wuhan University of Tech-nology(Materials Science),2000,15(1):73-77.
[6]夏元友,肖峰.斜坡稳定性评价的动态聚类分析方法[C]//第六届全国岩石力学与工程学术会议论文集.北京:中国科学技术出版社,2000:562-565.
[7]YU JIE,GUO PEIHUANG,CHEN PINXIANG,et al.Remote sensing image classification based on improved fuzzy C-means[J].Geo-spatial Information Science,2008,11(2):90-94.
[8]同小军,曾山,欧军,等.两阶段模糊C-均值聚类算法及其应用[J].华中科技大学学报(自然科学版),2008,36(11):71-75.TONG Xiao-jun,ZENG Shan,OU Jun,et al.Two-stage fuzzy C-mean cluster and its applications[J].Journal of Huazhong University of Science&Technology(National Science Edition),2008,36(11):71-75.
[9]武小红,何光普,李敏.新的改进型可能C-均值聚类[J].吉林大学学报(工学版),2008,38(增刊2):165-168.WU Xiao-hong,HE Guang-pu,LI Min.Novel improved possibilistic C-means clustering[J].Journal of Jilin University(Engineering and Technology Edition),2008,38(Supp.2):165-168.
[10]曲福恒,胡雅婷,马驷良.基于模拟退火的无监督核模糊聚类算法[J].吉林大学学报(理学版),2009,47(2):317-322.QU Fu-heng,HU Ya-ting,MA Si-liang.Unsupervised kernel fuzzy clustering algorithm based on simulated annealing[J].Journal of Jilin University(Science Edition),2009,47(2):317-322.
[11]谢全敏,夏元友.基于遗传算法的边坡稳定性评价的动态聚类法[J].岩土力学,2002,23(2):170-172.XIE Quan-min,XIA Yuan-you.A dynamic clustering method for evaluation of slope stability based on genetic algorithms[J].Rock and Soil Mechanics,2002,23(2):170-172.
[12]汪丽娜,陈晓宏,李粤安,等.基于人工鱼群算法和模糊C-均值聚类的洪水分类方法[J].水利学报,2009,40(6):743-748.WANG Li-na,CHEN Xiao-hong,LI Yue-an,et al.Method for flood classification based on fuzzy C-mean clustering and artificial fish swarm algorithm[J].Journal of Hydraulic Engineering,2009,40(6):743-748.
[13]LIAO SHIJUN.Homotopy analysis method:a new analytic method for nonlinear problems[J].Applied Mathematics and Mechanics,1998,19(10):957-962.
[14]WEN JIANHUA,CHEN JUNMING,WU DAIHUA.Study of parameter inversion of displacement based on homotopy theory genetic algorithms[C]//Proceeding of 2008 International Symposium on Computational Intelligence and Design.Wuhan:IEEE Computer Society,2008:313-317.
[15]田陵君.长江三峡工程库岸稳定性[M].北京:中国科技出版社,1992.
[16]李欣,王宝亮.三峡库区云阳故陵滑坡形成机制与防治对策[J].现代交通技术,2010,7(2):32-36.LI Xin,WANG Bao-liang.Formation mechanism and engineering treatment of Yunyang Guling Landslide in Three Gorges Reservoir Area[J].Modern Transporta-tion Technology,2010,7(2):32-36.
[17]张均锋,丁桦,白金泽.奉节白衣庵老苍屋新滑坡成因分析[J].岩土力学,2004,25(11):1841-1844.ZHANG Jun-feng,DING Hua,BAI Jin-ze.Analysis of mechanism of a new land slide in Fengjie,Chongqing,China[J].Rock and Soil Mechanics,2004,25(11):1841-1844.
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