What are the indicators of entropy weight TOPSIS method?

One 、 application

informally , Entropy weight TOPSIS Method is to use entropy weight method to get new data newdata（ The weight calculated by data entropy weight method ）, Then use the new data newdata Conduct TOPSIS Law Research .

Two 、 operation

SPSSAU operation

（1） Click on SPSSAU Comprehensive evaluation ‘ Entropy weight TOPSIS’ Button . Here's the picture

（2） Drag and drop the data and click start analysis

3、 ... and 、 Data processing

Four 、 Case background

  The current is 6 A national economic and Technological Development Zone , Respectively in the government system 4 The score value on each index . The larger the number, the better the index . At present, we hope to use entropy weight TOPSIS Can't evaluate 6 The ranking of government affairs systems in the development zones . The data in this example are all positive indicators , Therefore, no forward or reverse processing is required ; If there are negative indicators in the indicators ; You need to make all the data ‘ Forward ’, Do positive processing for positive indicators , Negative indicators are treated in reverse . The raw data are as follows ：

5、 ... and 、 The results of the analysis

SPSSAU The resulting analysis results are as follows

1. Summary of weight calculation results by entropy method

（1） Information entropy e

Computation first j Item... Under this indicator i Proportion of sample values

Calculate the information entropy of each index （ Column ）

In style ,k=1/ln(n);

（2） Information utility value d

（3） Weight factor

analysis 1

The table above shows 4 The weight value of each government system index , It is obvious that the indicators 3 More weight . But the weight size is just the process value , Entropy TOPSIS The focus is... Analysis TOPSIS Method to calculate the relative proximity . The weight value is multiplied by the data , Get new data newdata, The process is SPSSAU Done automatically , utilize newdata Conduct TOPSIS By the method of calculation .

2. TOPSIS Evaluate the calculation results

（1） Distance of positive ideal solution D+

In style , Optimal scheme  ,  For matrix A Medium element .

（2） Negative ideal solution distance D-

In style , Worst case scenario ;

（3） Relative proximity C

analysis 2

  Finally, from the above table ： Evaluation object 4, Development Zone 4, Its relative proximity C Highest value , Therefore, it shows that the development zone 4 The best performance in the government system ; The second is the development zone 3, Relative proximity C get up 0.814. area for development 1 Our government system is the worst .

3. Positive and negative ideal solutions

（1） Positive ideal solution A+

The maximum value in the indicator data ; example ：MC_ Government system indicators 1 by 0.024;

（2） Negative ideal solution A-

The maximum value in the indicator data ; example ：MC_ Government system indicators 1 by 0.018;

analysis 3

  The positive and negative ideal solution is the process value of calculating the positive and negative ideal distance value , Generally do not pay too much attention to . It represents the best or worst value corresponding to an index , Here is the maximum or minimum value .