How to calculate the information entropy and utility value of entropy method?

One 、 application

Entropy is a measure of uncertainty . The more information , The less uncertainty , The smaller the entropy ; The less information , The greater the uncertainty , The greater the entropy . Therefore, the information carried by entropy is used to calculate the weight , Combined with the variation degree of each index , Using the tool of information entropy , Calculate the weight of each index , Provide basis for multi index comprehensive evaluation .

Two 、 operation

SPSSAU operation

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

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

Nonnegative translation ： Because the calculation process of entropy method requires that there should be no 0 Or negative numbers , Otherwise, the result cannot be calculated . therefore SPSSAU This function is provided in the entropy method .

3、 ... and 、 Data processing

In order to eliminate the influence of dimensionality , Data processing is required before analysis .

（1） Positive indicators ：（X-Min）/(Max-Min)

（2） Reverse indicators ：（Max-X）/(Max-Min)

（PS： There are many dimensionless methods ,SPSSAU They are all available . Common treatment methods include standardization 、 normalization 、 Interval, etc .）

Four 、 analysis

Put data into analysis box ,SPSSAU The system automatically generates analysis results , as follows ：

Calculation formula

1. Information entropy e

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

(2) Calculate the information entropy of each index （ Column ）

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

2. Information utility value d

3. Weight factor

5、 ... and 、 summary

Use the entropy method to measure X1 Wait a total 5 Item for weight calculation , As can be seen from the table above ：X1, X2, X3, X4, X5 in total 5 term , Their weight values are 0.311, 0.185, 0.352, 0.112, 0.040. There are certain differences in the weight of each item , among X3 The maximum weight of this item is 0.352, as well as X5 The lowest weight of this item is 0.040.

6、 ... and 、 Analysis and suggestion

SPSSAU Analysis and suggestion