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郭松, 郭广礼, 李怀展, 崔海尚. 基于降维模糊C 均值聚类算法的采动场地稳定性评价[J]. 煤炭科学技术, 2020, 48(10).
引用本文: 郭松, 郭广礼, 李怀展, 崔海尚. 基于降维模糊C 均值聚类算法的采动场地稳定性评价[J]. 煤炭科学技术, 2020, 48(10).
GUO Song GUO Guangli LI Huaizhan CUI Haishang, . Stability evaluation of mining -induced goaf site based on dimensionality reduction fuzzy C-means, clustering algorithm[J]. COAL SCIENCE AND TECHNOLOGY, 2020, 48(10).
Citation: GUO Song GUO Guangli LI Huaizhan CUI Haishang, . Stability evaluation of mining -induced goaf site based on dimensionality reduction fuzzy C-means, clustering algorithm[J]. COAL SCIENCE AND TECHNOLOGY, 2020, 48(10).

基于降维模糊C 均值聚类算法的采动场地稳定性评价

Stability evaluation of mining -induced goaf site based on dimensionality reduction fuzzy C-means, clustering algorithm

  • 摘要: 模糊聚类分析是无监督机器学习的主要技术之一,可用于进行数据分析和建模,模糊C均值聚类算法(Fuzzy C-Means,FCM)通过优化目标函数得到所有类中心样本点的隶属度以实现样本数据的自动聚类目的,但面对煤矿采空区场地稳定性评价影响因素多、数据样本大时,容易陷入局部鞍点问题,提出了一种基于主成分分析(PCA)降维的改进模糊聚类算法。该算法选取7个采空区场地稳定性影响因素构建评价体系,根据主成分降维后的样本信息对模糊C均值聚类模型初始类中心和隶属度参数进行动态优化,以提升算法的鲁棒性与泛化能力;使算法更适用于评价稳定性影响因素复杂的采空区场地。以山东省济宁市快速路任兴路段压覆工作面采空区为例,结合快速路沿线其他5个煤矿共计120个采空区场地稳定性评价。试验结果表明:样本数据经主成分分析降维后,前4个主成分的累计贡献率为81.86%,有较好的表征原始样本信息的解释能力。对模糊C均值聚类后的类(簇)样本集占比进行统计分析,其中“稳定”路段占比36.67%,“基本稳定”路段占比35%,“欠稳定-不稳定”路段占比为28.33%,对比各采空区场地实际稳定性状态,模糊C均值聚类算法能有效提高聚类精度,证明了所提出的方法应用于煤矿采空区场地稳定性评价的可行性和有效性。

     

    Abstract: Fuzzy cluster analysis is one of the main techniques of unsupervised machine learning,which can be used for data analysis and modeling.Fuzzy C-Mean s( FCM) clustering algorithm obtains membership degree of sample points to all class centers by optimizing objective function to achieve the purpose of automatically cl ustering sample data. However,in facing of large data samples with complex factors influencing the assessment of goaf site stability in colliery,it is easy to fall into local saddle points.In order to solve this problem,it is proposed an improved FCM algorithm based on Principal Components Analysis( PCA) dimensionality reduction in this p aper.Combining the theory of machine learning,the improved algorithm selects 7 colliery goaf area stability influence factors to construct assessment index system. Acc ording to dimensionality reduction after initial class center of FCM model, sample information and membership parameters for dynamic optimization,the robustness and generalization ability of FCM has been improved to suit for the stability evaluation of complex factors in colliery goaf area.In this experiment, 120 working face goaf cond itions of a colliery buried under Renxing Road section and five other coal mines of Jining expressway in Shandong Province were selected as samples for goaf area sta bility influence ,the experimental results showed that sample data after PCA dimensionality reduction,first four principal components of cumulative contribution rate was 81.86%,it has better ability to interpret original sample information. After fuzzy C-means clustering clustering,the proportion of the sample set was statitically analyzed, “Stable"sections accounting for 36.67%,"Basically Stable' accounting for 35%,“Understable and instbility' 'section of 28.33% ,compared to actual stability state of goaf-co llapse area,the fuzzy C-means algorithm can effectively improve clustering accuracy. In this paper,the proposed approach demonstrates the feaibility and effectiveness in field stability assessment of goaf.

     

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