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MATLAB熵权法求权重,只需要换数据矩阵即可
function weights = EntropyWeight(R)
R=[11362.52 0.09 0.16 0.46 248826.93 61764.00 1175.46
13945.94 0.09 0.12 0.46 366749.75 67492.00 2006.30
6494.10 0.09 0.18 0.46 575484.13 55450.00 3179.81
2786.58 0.09 0.37 0.46 240453.22 47127.00 1007.70
3652.31 0.09 0.31 0.46 75097.81 56304.00 327.20
6912.91 0.09 0.16 0.46 644265.29 62325.00 3026.29
2935.47 0.09 1.53 0.46 58023.36 36317.00 524.05
2391.79 0.09 0.50 0.46 85780.50 37608.00 648.44
7819.17 0.09 0.78 0.46 177058.92 33394.00 1017.59
1853.59 0.09 0.53 0.46 111322.02 38794.00 602.38
1808.17 0.09 0.57 0.46 190963.75 40598.00 602.52
2589.79 0.09 0.46 0.46 21279.54 42350.00 193.81
3376.00 0.09 0.47 0.46 36360.11 33247.00 186.12
2579.29 0.09 0.59 0.46 47103.23 35117.00 170.41
2619.82 0.09 0.54 0.46 39441.33 33878.00 173.00
1891.67 0.09 0.62 0.46 26745.35 35603.00 89.49
9801.85 0.09 0.54 0.33 46605.99 68322.00 477.37
2086.82 0.09 0.54 0.33 46392.12 59776.00 214.72
4778.78 0.09 0.54 0.33 46602.17 81910.00 476.95
3513.29 0.09 0.54 0.33 46524.19 59876.00 370.50
3403.71 0.09 0.54 0.33 46441.96 80160.00 276.55
1868.82 0.09 0.54 0.33 46337.36 65905.00 153.04
13158.74 0.09 0.54 0.33 46670.46 65627.00 793.26
14141.25 0.09 0.54 0.33 46726.57 65660.00 905.81
9218.84 0.09 0.54 0.33 46601.10 64136.00 706.10
12796.40 0.09 0.54 0.33 46687.52 59946.00 826.54
5986.84 0.09 0.54 0.33 46725.63 61338.00 932.11
4530.30 0.09 0.54 0.33 46532.35 53579.00 569.98
16752.88 0.09 0.54 0.33 50614.56 77166.00 7292.01
7057.39 0.09 0.54 0.33 46497.62 57925.00 517.08
5511.34 0.09 0.54 0.33 46540.33 59071.00 566.65
2281.52 0.09 0.54 0.33 46428.45 50660.00 443.35
34128.95 0.08 1.01 0.36 18758.94 21599.00 142.45
34741.39 0.08 1.01 0.36 18759.61 21599.00 142.45
24750.51 0.08 1.01 0.36 18757.34 21599.00 142.45
35925.81 0.08 1.01 0.36 18752.49 21599.00 142.45
24405.34 0.08 1.01 0.36 18756.66 21599.00 142.45
40710.14 0.08 1.01 0.36 18760.75 21599.00 142.45
46971.87 0.08 1.01 0.36 18756.38 21599.00 142.45
33221.32 0.08 1.01 0.36 18755.51 21599.00 142.45
24023.14 0.08 2.69 0.36 12855.70 21661.00 170.99
30590.70 0.08 0.76 0.36 32293.26 23120.00 229.68
15652.29 0.08 1.24 0.36 21935.16 21937.00 124.78
14916.38 0.08 0.98 0.36 11623.95 21577.00 88.29
22973.37 0.08 0.71 0.36 7892.65 19603.00 69.68
21458.16 0.08 0.44 0.36 11196.69 20781.00 80.61
19155.98 0.08 0.44 0.36 10356.69 19741.00 102.79
18941.57 0.08 0.48 0.36 15122.14 21256.00 141.40
20675.96 0.08 3.18 0.36 18487.01 22390.00 192.74
22612.26 0.08 0.49 0.36 22001.18 20367.00 164.87
18318.47 0.08 0.97 0.36 26521.92 22325.00 163.90
33541.61 0.04 0.85 0.35 33855.71 24735.00 292.51
27040.05 0.04 0.66 0.35 18876.03 24520.00 233.79
20489.79 0.03 0.85 0.31 28068.29 20545.00 178.80
27140.40 0.09 0.88 0.36 24801.21 20298.00 166.90
35900.02 0.09 0.91 0.36 21534.93 20050.00 155.00
27251.66 0.09 0.93 0.36 18269.22 19803.00 143.11
15143.84 0.10 0.96 0.36 15008.83 19555.00 131.21
16351.72 0.09 1.17 0.36 14168.86 18531.00 105.00
17837.20 0.09 0.90 0.36 16056.77 19988.00 147.15
25991.64 0.09 0.75 0.36 11501.53 21044.00 147.86
13648.25 0.09 0.72 0.36 10888.90 18835.00 113.01
12772.75 0.09 0.87 0.36 11375.24 16883.00 111.60
41941.21 0.09 1.13 0.36 11873.96 22350.00 183.13
10432.26 0.09 0.41 0.36 17618.56 17581.00 94.02
35564.24 0.09 0.62 0.36 17875.61 17845.00 93.64
20762.02 0.09 0.82 0.36 18136.38 18110.00 93.27
22089.70 0.09 1.03 0.36 18398.57 18374.00 92.89
18384.29 0.09 1.23 0.39 18656.43 18639.00 92.51
16824.37 0.09 1.44 0.39 18919.83 18903.00 92.14
13857.14 0.09 0.51 0.39 10358.63 19212.00 88.65
8712.90 0.09 0.61 0.39 3931.13 18264.00 41.97
10800.31 0.09 0.52 0.39 9950.91 18665.00 47.97
9815.43 0.09 0.71 0.39 2976.86 17366.00 25.69
8765.56 0.09 0.82 0.39 10452.28 21363.00 76.10
8437.01 0.09 0.83 0.41 6894.72 16625.00 40.63
14200.33 0.09 1.53 0.41 6617.49 18893.00 67.65
15355.90 0.09 1.34 0.41 5375.72 20796.00 66.54
19694.06 0.09 1.27 0.41 11843.69 22027.00 115.03
14524.43 0.09 1.30 0.41 13185.32 21891.00 93.58
13915.71 0.09 0.95 0.41 6578.46 20627.00 75.59
15002.81 0.09 0.83 0.41 3888.06 21750.00 48.92
26875.82 0.09 0.84 0.41 5516.55 22427.00 57.36
17270.00 0.09 0.86 0.41 7131.54 23104.00 65.82
28461.40 0.09 0.87 0.41 8752.89 23780.00 74.28
17462.28 0.09 0.88 0.41 10377.55 24457.00 82.74
9584.35 0.09 0.89 0.41 12001.96 25134.00 91.21
20661.31 0.09 1.03 0.41 27222.89 23300.00 157.11
13223.84 0.09 1.22 0.41 13171.20 23778.00 87.25
24004.08 0.09 1.19 0.41 17142.58 24447.00 119.48
11964.47 0.09 1.16 0.41 21120.92 25117.00 151.71
31521.15 0.09 1.13 0.41 25090.65 25786.00 183.94
25748.12 0.09 1.10 0.41 29062.75 26456.00 216.16
64098.05 0.09 1.08 0.32 33039.35 27125.00 248.39
40595.71 0.09 1.05 0.32 37016.57 27794.00 280.62
92481.81 0.09 1.02 0.32 40982.50 28464.00 312.85
42747.30 0.09 0.99 0.32 44960.00 29133.00 345.07
30212.83 0.09 1.44 0.32 34264.08 27574.00 266.78
38703.82 0.09 0.98 0.32 23858.67 26679.00 231.36
55126.42 0.09 1.53 0.32 20080.43 28890.00 323.43
27766.68 0.09 1.13 0.32 33748.45 26726.00 284.99
35325.51 0.03 1.01 0.32 35028.65 28329.00 430.80
64724.68 0.07 1.75 0.32 52218.37 29861.00 778.65
25183.91 0.09 1.47 0.32 42626.49 28675.00 569.06
31261.57 0.09 1.19 0.32 33039.59 27490.00 359.47
20184.92 0.09 0.91 0.32 23453.39 26304.00 149.89
13603.83 0.09 0.95 0.32 16285.64 25481.00 94.11
30375.86 0.09 0.89 0.32 26044.01 31134.00 137.81
11886.79 0.09 1.07 0.32 26671.14 27409.00 108.27
13504.87 0.09 1.12 0.32 30758.77 27671.00 161.75
37169.03 0.09 0.97 0.32 12626.07 30010.00 85.48
31276.35 0.04 1.61 0.38 41929.52 31565.00 299.70
43333.13 0.05 1.01 0.34 45599.36 32398.00 445.10
20406.04 0.09 1.05 0.36 40563.31 29869.00 382.17
34238.25 0.09 1.10 0.36 35531.95 27340.00 319.24
14120.59 0.09 1.14 0.36 30495.98 24811.00 256.31
10873.24 0.09 1.18 0.36 25465.47 22282.00 193.38
14448.28 0.09 1.23 0.36 20431.18 19753.00 130.45
9076.50 0.09 1.27 0.36 15394.59 17224.00 67.55
8036.60 0.09 0.67 0.36 7758.83 11647.00 36.76
10114.31 0.09 0.55 0.36 17879.54 22059.00 102.86
6075.27 0.09 0.86 0.36 19239.31 14462.00 62.52
13764.62 0.09 0.91 0.36 19721.86 19919.00 84.36
11573.04 0.09 0.60 0.36 10486.33 19863.00 54.22
13626.06 0.09 2.52 0.36 10891.81 17190.00 68.84
10830.84 0.09 0.98 0.36 13608.16 19879.00 49.83
6841.56 0.09 1.01 0.36 20008.54 21020.00 65.39
10521.20 0.09 0.97 0.36 19015.13 16976.00 100.56
6037.35 0.09 1.14 0.36 23596.68 15138.00 53.59
9275.53 0.09 0.89 0.36 23308.27 19578.00 68.77
9057.86 0.09 1.17 0.36 11604.69 18721.00 42.75
8923.55 0.09 0.80 0.36 9537.00 17553.00 40.66
13761.91 0.09 0.90 0.36 21148.07 23724.00 79.90
21268.47 0.04 0.57 0.33 38793.99 25678.00 199.94
13363.37 0.04 0.66 0.31 56555.92 21081.00 245.14
14453.60 0.03 0.63 0.31 19953.36 18820.00 100.48
11829.70 0.05 0.81 0.31 25918.16 22456.00 117.61
42106.02 0.09 0.79 0.35 20710.88 23063.00 143.40
39036.31 0.09 0.77 0.35 15510.26 23671.00 169.20
17448.52 0.09 0.75 0.35 10312.59 24278.00 194.99
22126.41 0.09 0.75 0.35 17698.17 24370.00 155.29
20331.93 0.09 1.48 0.35 16303.14 24154.00 121.54
9421.45 0.09 0.73 0.35 13905.69 18593.00 38.50
15151.44 0.09 0.98 0.35 6178.98 20689.00 134.43
21301.02 0.09 0.70 0.35 16627.69 24393.00 140.47
12718.77 0.09 0.79 0.35 12064.65 22451.00 92.67
13941.15 0.09 0.66 0.35 9286.81 22364.00 73.81
16282.98 0.09 0.77 0.35 20645.03 21077.00 165.22
22383.11 0.09 0.81 0.35 3183.80 22771.00 84.82
17067.94 0.04 0.70 0.35 23174.98 23088.00 170.60
35053.31 0.06 0.74 0.35 63517.72 26003.00 406.74
28555.88 0.04 0.71 0.34 28140.10 24690.00 213.42
16641.66 0.03 0.76 0.37 25640.67 24302.00 215.61
16935.67 0.09 0.88 0.39 23386.75 22016.00 147.95
11584.39 0.09 1.00 0.39 21138.10 19730.00 80.30
10563.10 0.09 1.04 0.39 9866.77 14252.00 47.92
13502.05 0.09 0.97 0.39 9416.34 15026.00 40.86
10535.47 0.09 1.00 0.39 13169.64 17009.00 46.84
17123.04 0.09 1.01 0.39 21080.59 19711.00 92.63
10125.69 0.09 0.99 0.39 21605.53 17745.00 98.09
13593.04 0.09 1.20 0.39 19453.01 18648.00 122.12
9836.46 0.09 1.00 0.39 9859.09 17787.00 55.22
14690.64 0.09 1.30 0.39 19927.82 22880.00 88.20
13076.99 0.04 1.19 0.34 20086.00 17666.00 111.69
16422.92 0.09 1.59 0.33 16774.12 18830.00 109.92
17859.30 0.09 1.99 0.33 13468.03 19993.00 108.16
18747.08 0.61 2.40 0.33 10159.22 21157.00 106.40
15159.39 0.09 1.38 0.33 7830.20 17528.00 57.35
12845.10 0.09 2.45 0.33 13588.20 19032.00 76.58
9188.39 0.09 1.02 0.33 5956.94 16774.00 28.32
9036.53 0.09 1.29 0.33 14774.03 18745.00 83.16
6525.98 0.09 1.50 0.33 15053.83 17868.00 43.03
7644.43 0.09 1.28 0.33 30219.57 20374.00 49.37
13572.81 0.09 0.68 0.33 30130.54 19564.00 172.96
7907.85 0.09 1.62 0.33 13964.61 17662.00 54.00
8809.85 0.09 0.92 0.33 4204.58 16545.00 22.25
6884.81 0.09 0.63 0.33 4395.32 17906.00 41.94
8451.63 0.09 0.73 0.33 9975.39 17799.00 51.96
6860.03 0.09 1.47 0.33 12573.16 16592.00 62.02
17084.94 0.09 0.44 0.43 24736.75 20923.00 116.02
8757.34 0.09 0.44 0.43 11789.12 18564.00 56.52
11177.14 0.04 0.87 0.43 16002.85 17613.00 86.64
28221.33 0.03 1.12 0.43 26836.63 22040.00 198.69
21430.99 0.09 0.99 0.43 22229.78 22619.00 189.80
22511.88 0.09 0.87 0.43 17626.13 23198.00 180.91
38587.94 0.09 0.75 0.43 13019.17 23776.00 172.02
18652.20 0.09 0.63 0.43 8416.53 24355.00 163.13
26649.48 0.07 0.51 0.43 3808.58 24934.00 154.25
7903.55 0.09 0.76 0.43 9380.44 20937.00 114.25
15837.99 0.09 0.50 0.36 9487.30 24743.00 133.14
7446.30 0.09 0.69 0.36 15728.01 20089.00 130.47
28856.62 0.09 0.84 0.36 18659.60 14343.00 200.37
19235.99 0.09 0.79 0.36 27623.27 24992.00 212.31
11655.61 0.09 0.68 0.36 8179.83 17943.00 89.23
13067.49 0.09 0.91 0.36 14362.08 23357.00 215.03
15548.11 0.09 0.84 0.36 5396.09 12744.00 64.97
14707.39 0.09 0.84 0.36 13146.07 19238.00 96.00
13035.52 0.09 0.73 0.36 4508.10 15931.00 72.36
14001.60 0.09 0.69 0.36 9622.65 18250.00 96.76
6848.03 0.09 0.72 0.36 12581.10 20001.00 137.44
11884.95 0.09 0.71 0.36 10642.14 20372.00 114.32
39681.91 0.03 2.49 0.36 43859.16 26861.00 453.98
]
[rows,cols]=size(R);%计算原始指标数据矩阵的行列数
K=1/log(rows); %计算K值
P=zeros(rows,cols);%初始化矩阵
sumBycols=sum(R,1);
for i=1:rows %进行循环
for j=1:cols
P(i,j)=R(i,j)./sumBycols(1,j);
end
end
lnPij=zeros(rows,cols);
for i=1:rows
for j=1:cols
if P(i,j)==0
lnPij(i,j)=0;
else
lnPij(i,j)=log(P(i,j));
end
end
end
Hj=-K*(sum(P.*lnPij,1)); % 计算熵值Hj
weights=(1-Hj)/(cols-sum(Hj));
end
2018-02-02
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