模糊数学实验报告

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1、数学实验报告实验序号：模糊数学日期：2013年10月06日班级姓名学号实验名称不同白酒的相似关系与聚类问题背景描述：不同白酒的好坏以及他们成分之间的相似关系和聚类实验目的：熟练利用模糊数学的相似关系和聚类来进行数据分析，解决一些实际问题。实验原理与数学模型：由于计算机内存的原因，我选择了50种白酒，通过对他们含有成分的统计。运用这些数据，对这50种白酒进行了相似关系的比较，和聚类。每一种白酒，我都选择了12种成分的统计。然后通过“绝对值减数法”，建立相似矩阵。接着求相似矩阵的传递闭包矩阵，也就是他的等价矩阵。最

2、后进行聚类分析，绘制出聚类图。实验所用软件及版本：MATLAB１５主要内容（要点）：50种白酒12种成分的统计结果如下：固定的酸度挥发性酸度柠檬酸剩余糖氯化物自由二氧化硫总二氧化硫密度pH硫酸盐酒精质量170.270.3620.70.045451701.00130.458.8626.30.30.341.60.049141320.9943.30.499.5638.10.280.46.90.0530970.99513.260.4410.1647.20.230.328.50.058471860.99563.190.4

3、9.9657.20.230.328.50.058471860.99563.190.49.9668.10.280.46.90.0530970.99513.260.4410.1676.20.320.1670.045301360.99493.180.479.66870.270.3620.70.045451701.00130.458.8696.30.30.341.60.049141320.9943.30.499.56108.10.220.431.50.044281290.99383.220.45116118.10.27

4、0.411.450.03311630.99082.990.56125128.60.230.44.20.035171090.99473.140.539.75137.90.180.371.20.0416750.9923.180.6310.85146.60.160.41.50.044481430.99123.540.5212.47158.30.420.6219.250.04411721.00022.980.679.75166.60.170.381.50.032281120.99143.250.5511.47176.3

5、0.480.041.10.04630990.99283.240.369.66186.20.660.481.20.02929750.98923.330.3912.88197.40.340.421.10.033171710.99173.120.5311.36206.50.310.147.50.044341330.99553.220.59.55216.20.660.481.20.02929750.98923.330.3912.88226.40.310.382.90.038191020.99123.170.351172

6、36.80.260.421.70.049411220.9933.470.4810.58247.60.670.141.50.074251680.99373.050.519.35256.60.270.411.30.052161420.99513.420.471062670.250.3290.046562450.99553.250.510.46276.90.240.3510.052351460.9933.450.441062870.280.398.70.051321410.99613.380.5310.56297.4

7、0.270.481.10.047171320.99143.190.4911.66307.20.320.3620.033371140.99063.10.7112.37318.50.240.3910.40.044201420.99743.20.53106328.30.340.141.10.0427470.99343.470.410.26337.40.250.362.050.05311000.9923.190.4410.86346.20.120.341.50.045431170.99393.420.5196355.8

8、0.270.214.950.044221790.99623.370.3710.25367.30.280.431.70.08211230.99053.190.4212.85376.50.390.235.40.051251490.99343.240.351053870.330.321.20.053381380.99063.130.2811.26397.30.240.3917.950.057