熵权法(例子带步骤)

1、原始数据科科室室X X1 1X X2 2X X3 3X X4 4X X5 5X X6 6X X7 7X X8 8A A100901008490100100100B B10010078.610090100100100C C7510085.710090100100100D D10010078.61009010094.4100E E1009010010010090100100F F1001001001009010010085.7G G10010078.61009010055.6100H H87.510085.7100100100100100I I10010092.910080100100100J J

2、10090100100100100100100K K10010092.910090100100100数据标准化 Y YX X1 1X X2 2X X3 3X X4 4X X5 5X X6 6X X7 7X X8 8A A1.000.001.000.000.501.001.001.00B B1.001.000.001.000.501.001.001.00C C0.001.000.331.000.501.001.001.00D D1.001.000.001.000.501.000.871.00E E1.000.001.001.001.000.001.001.00F F1.001.001.001.0

3、00.501.001.000.00G G1.001.000.001.000.501.000.001.00H H0.501.000.331.001.001.001.001.00I I1.001.000.671.000.001.001.001.00J J1.000.001.001.001.001.001.001.00K K1.001.000.671.000.501.001.001.00求求和和：9.508.006.0010.006.5010.009.8710.00P PxjxjX X1 1X X2 2X X3 3X X4 4X X5 5X X6 6X X7 7X X8 8A A0.110.000.

4、170.000.080.100.100.10B B0.110.130.000.100.080.100.100.10C C0.000.130.060.100.080.100.100.10D D0.110.130.000.100.080.100.090.10E E0.110.000.170.100.150.000.100.10F F0.110.130.170.100.080.100.100.00G G0.110.130.000.100.080.100.000.10H H0.050.130.060.100.150.100.100.10I I0.110.130.110.100.000.100.100.

5、10J J0.110.000.170.100.150.100.100.10K K0.110.130.110.100.080.100.100.10LnPLnPxjxjX X1 1X X2 2X X3 3X X4 4X X5 5X X6 6X X7 7X X8 8A A-2.250.00-1.790.00-2.56-2.30-2.29-2.30B B-2.25-2.080.00-2.30-2.56-2.30-2.29-2.30C C0.00-2.08-2.90-2.30-2.56-2.30-2.29-2.30D D-2.25-2.080.00-2.30-2.56-2.30-2.42-2.30E E

6、-2.250.00-1.79-2.30-1.870.00-2.29-2.30F F-2.25-2.08-1.79-2.30-2.56-2.30-2.290.00G G-2.25-2.080.00-2.30-2.56-2.300.00-2.30H H-2.94-2.08-2.90-2.30-1.87-2.30-2.29-2.30I I-2.25-2.08-2.19-2.300.00-2.30-2.29-2.30J J-2.250.00-1.79-2.30-1.87-2.30-2.29-2.30K K-2.25-2.08-2.19-2.30-2.56-2.30-2.29-2.30P Pxjxj*L

7、nP*LnPxjxjX X1 1X X2 2X X3 3X X4 4X X5 5X X6 6X X7 7X X8 8A A-0.240.00-0.300.00-0.20-0.23-0.23-0.23B B-0.24-0.260.00-0.23-0.20-0.23-0.23-0.23C C0.00-0.26-0.16-0.23-0.20-0.23-0.23-0.23D D-0.24-0.260.00-0.23-0.20-0.23-0.21-0.23E E-0.240.00-0.30-0.23-0.290.00-0.23-0.23F F-0.24-0.26-0.30-0.23-0.20-0.23-

8、0.230.00G G-0.24-0.260.00-0.23-0.20-0.230.00-0.23H H-0.15-0.26-0.16-0.23-0.29-0.23-0.23-0.23I I-0.24-0.26-0.24-0.230.00-0.23-0.23-0.23J J-0.240.00-0.30-0.23-0.29-0.23-0.23-0.23K K-0.24-0.26-0.24-0.23-0.20-0.23-0.23-0.23-2.29-2.08-2.00-2.30-2.25-2.30-2.30-2.30-0.417030.95各指标的信息熵E Ej jX X1 1X X2 2X X3

9、 3X X4 4X X5 5X X6 6X X7 7X X8 8信息熵0.950.870.840.960.940.960.960.96权重W Wj jW W1 1W W2 2W W3 3W W4 4W W5 5W W6 6W W7 7W W8 8权重0.080.220.270.070.110.070.070.07X Xli*WiX X1 1X X2 2X X3 3X X4 4X X5 5X X6 6X X7 7X X8 8A A7.578559 19.72428 27.13738 5.509738 9.467793 6.559212 6.611572 6.559212B B7.578559 2

10、1.91587 21.32998 6.559212 9.467793 6.559212 6.611572 6.559212C C5.683919 21.91587 23.25674 6.559212 9.467793 6.559212 6.611572 6.559212D D7.578559 21.91587 21.32998 6.559212 9.467793 6.559212 6.241324 6.559212E E7.578559 19.72428 27.13738 6.559212 10.51977 5.903291 6.611572 6.559212F F7.578559 21.91

11、587 27.13738 6.559212 9.467793 6.559212 6.611572 5.621245G G7.578559 21.91587 21.32998 6.559212 9.467793 6.559212 3.676034 6.559212H H6.631239 21.91587 23.25674 6.559212 10.51977 6.559212 6.611572 6.559212I I7.578559 21.91587 25.21063 6.559212 8.415816 6.559212 6.611572 6.559212J J7.578559 19.72428

12、27.13738 6.559212 10.51977 6.559212 6.611572 6.559212K K7.578559 21.91587 25.21063 6.559212 9.467793 6.559212 6.611572 6.559212科科室室得得分分A A95.71B B93.14C C93.17D D92.77E E95.84F F98.01G G90.21H H95.17I I95.97J J97.81K K97.02X X9 910010010010080100100100100100100X X9 91.001.001.001.000.001.001.001.001.001.001.0010.00原始数据数据标准化X X9 90.100.100.100.100.000.100.100.100.100.100.10X X9 9-2.30-2.30-2.30-2.300.00-2.30-2.30-2.30-2.30-2.30-2.3