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.