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亲爱的您，
这里是LearningYard学苑！
今天小编给大家带来期刊论文精读，
欢迎您的用心访问！
本期推文阅读时长大约6分钟，请您耐心阅读。
Share interest, spread happiness, increase knowledge, and leave beautiful.
Dear you,
this is the LearningYard Academy!
Today, the editor brings you intensive reading of journal papers,
welcome your visit!
This tweet usually takes about 6 minutes to read. Please be patient and read.
今天小编将从思维导图、精读内容、知识补充三个板块为大家带来论文《属性关联的双极容度多属性决策 VIKOR方法》步骤四，接下来我们开始今天的学习吧！
Today, the editor will bring you the paper "The Bipolar Tolerance Multiple Attribute Decision Making VIKOR Method of Attribute Association" from three sections: mind mapping, intensive reading content, and knowledge supplement. Step 4, let's begin today's study!
思维导图
本节内容思维导图如下所示：
A mind map of the contents of this section is shown below.
精读内容
在前两期推文中，我们学习了Shapley值的含义、基本符号定义以及公式推导和案例分析等内容，接下来让我们回到论文，仔细观察论文步骤四中Shapley值的相关内容，对公式中的参数进行理解和分析。
In the previous two tweets, we learned about the meaning of Shapley values, basic symbol definitions, formula derivation, and case analysis. Next, let's return to the paper and carefully observe the relevant content of Shapley values in Step 4 of the paper to understand and analyze the parameters in the formula.
首先，论文中的特征函数结合了双极容度的性质，将收益函数换成了双极容度公式。
Firstly, the characteristic function in the paper combines the properties of bipolar capacitance and replaces the income function with a bipolar capacitance formula.
其次，在利用容度理论处理属性间关联时，关键步骤是确定属性和属性集的容度值。现有对容度值的计算方法一般可以分为两个大类：一类是利用最优算法计算，主要有Marichal熵法、最小方差法等；另一类是根据专家或决策者对属性的偏好信息，依据AHP方法或菱形成对比较法确定属性的重要度和属性间的关联度，再利用容度的概念及其相关性质计算属性集的容度值。其中使用最多的方法就是依据专家的意见和容度的性质确定属性集的容度值。
Secondly, when using the content theory to process the association between attributes, the key step is to determine the content values of attributes and attribute sets. The existing methods for calculating capacity values can generally be divided into two categories: one is to use optimal algorithms, mainly including Marichal entropy method, minimum variance method, and so on; The other is to determine the importance of attributes and the correlation between attributes based on the preference information of experts or decision-makers, using AHP method or rhombus formation pair comparison method, and then calculate the content value of attribute sets using the concept of content and its related properties. The most commonly used method is to determine the content value of an attribute set based on expert opinions and content properties.
这里，我们先根据公式求解权重如下：
Here, we first calculate the weight according to the formula as follows:
知识补充
接下来，和小编一起了解一下计算权重的几种方法吧！
计算权重是一种常见的分析方法，在实际研究中，需要结合数据的特征情况进行选择，比如数据之间的波动性是一种信息量，那么可考虑使用CRITIC权重法或信息量权重法；也或者专家打分数据，那么可使用AHP层次法或优序图法。
列出常见的9类权重计算方法，如下图所示：
Next, let's learn about several methods of calculating weights with the editor!
Calculation of weight is a common analysis method. In actual research, it needs to be selected according to the characteristics of data. For example, if the volatility between data is an information quantity, then CRITIC weight method or information quantity weight method can be considered; Or expert scoring data, then AHP hierarchy method or priority chart method can be used.
List 9 common weight calculation methods, as shown in the figure below:
这9类权重计算的原理各不相同，接下来我们一起来了解一下Dematel混合求权重的操作。
Dematel其是一种运用图论和矩阵工具解释问题的系统分析方法。其通过系统中各要素之间的逻辑关系和直接影响矩阵，可以计算出每个要素对其它要素的影响度以及被影响度，从而计算出每个要素的原因度与中心度，作为构造模型的依据，从而确定要素间的因果关系和每个要素在系统中的地位。
The principles for calculating these 9 types of weights are different. Next, let's take a look at the operation of Dematerial mixing to calculate weights.
Dematel is a systematic analysis method that uses graph theory and matrix tools to explain problems. Through the logical relationship and direct impact matrix between various elements in the system, it is possible to calculate the degree of influence and degree of influence of each element on other elements, thereby calculating the degree of cause and centrality of each element, as the basis for constructing a model, to determine the causal relationship between elements and the position of each element in the system.
SPSSAU操作
SPSSAU operation
- 点击SPSSAU综合评价里面的‘DEMATEL’按钮。如下图：
- Click the 'DEMATEL' button in the SPSSAU comprehensive evaluation. As shown below:
- 拖拽数据后点击开始分析
- Click to start analysis after dragging data
今天的分享就到这里了。
如果您对今天的文章有独特的想法，
欢迎给我们留言，
让我们相约明天，
祝您今天过得开心快乐！
That's it for today's sharing.
If you have a unique idea about today’s article,
welcome to leave us a message,
let us meet tomorrow,
I wish you a nice day today!
参考资料：DeepL翻译、百度百科
参考文献：
[1]林萍萍,李登峰,江彬倩,余高锋,韦安鹏.属性关联的双极容度多属性决策VIKOR方法[J].系统工程理论与实践,2021,41(08):2147-2156.
文案 |Yuan
排版 |Yuan
审核 |Qian