膨胀土胀缩等级分类的未确知均值聚类方法及应用
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摘要
将未确知测度理论应用于膨胀土的分类问题中,建立膨胀土胀缩等级分类的未确知均值聚类分析模型;选用粘粒含量、粉粒含量、液限、塑限及塑性指数作为未确知均值聚类分析模型的判别指标;以膨胀土的15组实测数据建立各评判指标的未确知测度函数,用各分类样本平均值表示分类中心;根据信息熵理论计算各评判指标的权重,用置信度识别准则进行评判;用建立的模型对15组实测数据逐一进行检验,正确率为100%。将建立的模型对待分类的8个样本进行测试,并与实测结果进行比较。研究结果表明:预测等级与实际结果较吻合,比较客观地反映了膨胀土分类的复杂状况。
Based on unascertained measurement theory,a classification model of expansive soil was established,including five indexes reflecting the shrink and expansion of expansive soil,i.e.,content of clay grain,content of silt grain,liquid limit,plastic limit and plasticity index.The indexes functions of unascertained measure of 15 sets of expansive soil samples were established,and the centre of the classified was indicated by using the average of classification of samples.The weight of indexes was calculated by entropy weight theory,and a prediction for the classification of residual expansive soils was carried out using the rules of credible recognition.Each of the 15 sets of expansive soil samples was tested according to the model,and the correct rate is 100%.The other 8 sets of expansive soil samples were predicted by using this model.The results show that the predicted classification is consistent with the actually measured ones.Therefore,the classification model,reflecting the complexity situation of expansive soil objectively,is effective and available to the classification of the grade of shrink and expansion for the expansive soils.
Based on unascertained measurement theory,a classification model of expansive soil was established,including five indexes reflecting the shrink and expansion of expansive soil,i.e.,content of clay grain,content of silt grain,liquid limit,plastic limit and plasticity index.The indexes functions of unascertained measure of 15 sets of expansive soil samples were established,and the centre of the classified was indicated by using the average of classification of samples.The weight of indexes was calculated by entropy weight theory,and a prediction for the classification of residual expansive soils was carried out using the rules of credible recognition.Each of the 15 sets of expansive soil samples was tested according to the model,and the correct rate is 100%.The other 8 sets of expansive soil samples were predicted by using this model.The results show that the predicted classification is consistent with the actually measured ones.Therefore,the classification model,reflecting the complexity situation of expansive soil objectively,is effective and available to the classification of the grade of shrink and expansion for the expansive soils.
引文
[1]汪明武,金菊良,李丽.可拓学在膨胀土胀缩等级评判中的应用[J].岩土工程学报,2003,25(6):754-757.WANG Ming-wu,JIN Ju-liang,LI Li.Application of extension method to the evaluate of grade shrinkage and expansion for the expensive soil[J].Chinese Journal of Geotechnical Engineering,2003,25(6):754-757.
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[8]马文涛.支持向量机方法在膨胀土分类中的应用[J].岩土力学,2005,26(11):1790-1792.MA Wen-tao.Application of support vector machine to classification of expansive soils[J].Rock and Soil Mechanics,2005,26(11):1790-1792.
[9]宫凤强,李夕兵.膨胀土胀缩等级分类中的距离判别分析法[J].岩土工程学报,2007,29(3):463-466.GONG Feng-qiang,LI Xi-bing.Distance discriminant analysis to the classification of the grade of shrink and expansion for the expansive soils[J].Chinese Journal of Geotechnical Engineering,2007,29(3):463-466.
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[14]万玉成.未确知性在预测与决策问题中的应用[D].南京:东南大学经济管理学院,2004:22-27.WAN Yu-cheng.Study on the applications of unascertained in forecasting and decision making[D].Nanjing:Shool of Economics and Management,Southeast University,2004:22-27.
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[16]董陇军,李夕兵,宫凤强.开采地面沉陷预测的未确知聚类预测模型[J].中国地质灾害与防治学报,2008,19(2):95-99.DONG Long-jun,LI Xi-bing,GONG Feng-qiang.Predicting surface subsidence induced by mining based on unascertained clustering method[J].The Chinese Journal of Geological Hazard and Control,2008,19(2):95-99.
[17]董陇军,王飞跃.基于未确知测度的边坡地震稳定性综合评价[J].中国地质灾害与防治学报,2007,18(4):74-78.DONG Long-jun,WANG Fei-yue.Comprehensive evaluation on seismic stability of slopes based on unascertained measurement[J].The Chinese Journal of Geological Hazard and Control,2007,18(4):74-78.
[18]宫凤强,李夕兵,董陇军,等.基于未确知测度理论的采空区危险性评价研究[J].岩石力学与工程学报,2008,27(2):323-330.GONG Feng-qiang,LI Xi-bing,DONG Long-jun,et al.Underground goaf risk evaluation based on uncertainty measurement theory[J].Chinese Journal of Rock Mechanic and Engineering,2008,27(2):323-330.
[2]谭罗荣,张海英,邵梧敏,等.风干含水量W65用作膨胀土分类指标的可行性研究[J].工程地质学报,1994,2(1):15-26.TAN Luo-rong,ZHANG Hai-ying,SHAO Wu-min,et al.The practicability research on use of air dry moisture content W65 as identification index of swelling soil[J].Journal of Engineering Geology,1994,2(1):15-26.
[3]马桂芝.应用塑性图对陕西特别土的判别[J].西安地质学院学报,1995,17(2):87-89.MA Gui-zhi.The application of plasticity chart to shanxi special soils distribution[J].Journal of Xi’an College of Geology,1995,17(2):87-89.
[4]李玉花,冯晓腊,严应征.灰色聚类法在膨胀土分类中的应用[J].岩土力学,2003,24(2):304-306.LI Yu-hua,FENG Xiao-la,YAN Ying-zheng.Application of gray clustering procedure to classification of expansive soils[J].Rock and Soil Mechanics,2003,24(2):304-306.
[5]黄卫,钟理,钱振东.路基膨胀土等级的模糊综合评判[J].岩土工程学报,1999,21(4):408-413.HUANG Wei,ZHONG Li,QIAN Zheng-dong.Fuzzy judgement about the grade shrink and expansion for the expensive soil in grade[J].Chinese Journal of Geotechnical Engineering,1999,21(4):408-413.
[6]易顺民,晏同珍.膨胀土判别与分类的人工神经网络方法[J].地质科技情报,1995,14(3):91-94.YIN Shun-min,YAN Tong-zhen.Artificial neural network method for discrimination and classification of expansive soil[J].Geological Science and Technology Information,1995,14(3):91-94.
[7]傅鹤林,范臻辉,刘宝琛.利用人工神经网络模型判定膨胀土等级[J].中国铁道科学,2002,23(5):118-120.FU He-lin,FAN Zhen-hui,LIU Bao-chen.Determination of expanded clay with artificial neutral network model[J].China Railway Science,2002,23(5):118-120.
[8]马文涛.支持向量机方法在膨胀土分类中的应用[J].岩土力学,2005,26(11):1790-1792.MA Wen-tao.Application of support vector machine to classification of expansive soils[J].Rock and Soil Mechanics,2005,26(11):1790-1792.
[9]宫凤强,李夕兵.膨胀土胀缩等级分类中的距离判别分析法[J].岩土工程学报,2007,29(3):463-466.GONG Feng-qiang,LI Xi-bing.Distance discriminant analysis to the classification of the grade of shrink and expansion for the expansive soils[J].Chinese Journal of Geotechnical Engineering,2007,29(3):463-466.
[10]丁加明,王永和,丁力行.基于粗集不相容系统的膨胀土分类规则提取[J].中南大学学报:自然科学版,2006,37(2):396-400.DING Jia-ming,WANG Yong-he,DING Li-xing.Generating expansive soil classification rule based on rough sets in consistent decision system solution of single tunnel inside broken rock mass[J].Journal of Central South University:Science and Technology,2006,37(2):396-400.
[11]刘开第,吴和琴,庞彦军,等.不确定信息数学处理及应用[M].北京:科学出版社,1999.LIU Kai-di,WU He-qin,PANG Yan-jun,et a1.Mathematics treatment and application of unascertained information[M].Beijing:Science Press,1999.
[12]刘开第,吴和琴,王念鹏,等.未确知数学[M].武汉:华中理工大学出版社,1997.LIU Kai-di,WU He-qin,WANG Nian-peng,et a1.Unascertained maths[M].Wuhan:Huazhong University of Science and Technology Press,1997.
[13]刘开第,庞彦军,孙光勇,等.城市环境质量的未确知侧度评价[J].系统工程理论与实践,1999,19(12):52-58.LIU Kai-di,PANG Yan-jun,SUN Guang-yong,et a1.The unascertained measurement evaluation on a city’s environmental quality[J].Systems Engineering Theory&Practice,1999,19(12):52-58.
[14]万玉成.未确知性在预测与决策问题中的应用[D].南京:东南大学经济管理学院,2004:22-27.WAN Yu-cheng.Study on the applications of unascertained in forecasting and decision making[D].Nanjing:Shool of Economics and Management,Southeast University,2004:22-27.
[15]曹庆奎,刘开展,张博文.用熵计算客观型指标权重的方法[J].河北建筑科技学院学报,2000,17(3):40-42.CAO Qing-kui,LIU Kai-zhan,ZHANG Bo-wen.Calculation method of objective index weight by entropy[J].Journal of Hebei Institute of Architectural Science and Technology,2000,17(3):40-42.
[16]董陇军,李夕兵,宫凤强.开采地面沉陷预测的未确知聚类预测模型[J].中国地质灾害与防治学报,2008,19(2):95-99.DONG Long-jun,LI Xi-bing,GONG Feng-qiang.Predicting surface subsidence induced by mining based on unascertained clustering method[J].The Chinese Journal of Geological Hazard and Control,2008,19(2):95-99.
[17]董陇军,王飞跃.基于未确知测度的边坡地震稳定性综合评价[J].中国地质灾害与防治学报,2007,18(4):74-78.DONG Long-jun,WANG Fei-yue.Comprehensive evaluation on seismic stability of slopes based on unascertained measurement[J].The Chinese Journal of Geological Hazard and Control,2007,18(4):74-78.
[18]宫凤强,李夕兵,董陇军,等.基于未确知测度理论的采空区危险性评价研究[J].岩石力学与工程学报,2008,27(2):323-330.GONG Feng-qiang,LI Xi-bing,DONG Long-jun,et al.Underground goaf risk evaluation based on uncertainty measurement theory[J].Chinese Journal of Rock Mechanic and Engineering,2008,27(2):323-330.
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