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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》案例分析，接下来我们开始今天的学习吧！
Today's small edition will bring you the case study of the paper "Bipolar Tolerance Multi Attribute Decision Making VIKOR Method of Attribute Association" from three parts: mind mapping, intensive reading and knowledge supplement. Let's start 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
在前几期推文中，我们对算例中的最小个体遗憾值Ri进行了计算，然后求解了不同折衷系数下的综合评价值Q，接下来让我们依据 VIKOR 对方案排序的判断规则 ，对方案优劣顺序进行判定。
In the previous tweets, we calculated the minimum individual regret value Ri in the example, and then solved the comprehensive evaluation value Q under different compromise coefficients. Next, let's judge the order of the alternatives according to the VIKOR judgment rules for the ranking of alternatives.
在步骤七中，主要是确定方案的排列顺序，根据 Qi、 Si、Ri 对方案进行从大到小排序， 得到３个排序序列。
In Step 7, the main task is to determine the arrangement order of the schemes. The schemes are sorted from the largest to the smallest according to Qi, Si and Ri, and three sorting sequences are obtained.
接着是对比分析，原有基于模糊测度的属性关联多属性决策vikor方法与本文所采用的方法结果不同，本文提出的属性关联的双极容度多属性决策vikor方法更能够权衡不同方案的差异及描述决策者的心理，更加符合实际。
Then it is a comparative analysis. The original attribute association multi-attribute decision making vikor method based on fuzzy measure is different from the method used in this paper. The bipolar tolerance multi-attribute decision making vikor method proposed in this paper can more weigh the differences of different schemes and describe the psychology of decision makers, which is more practical.
最后是结论，本文结论描述如下所示：
Finally, the conclusion of this paper is described as follows:
知识补充
我们在学习本节内容的过程中提到了多属性决策TOPSIS方法，接下来让我们一起来了解一下吧!
In the process of learning this section, we mentioned the TOPSIS method of multi-attribute decision-making. Next, let's have a look!
TOPSIS （Technique for Order Preference by Similarity to an Ideal Solution ）法是C.L.Hwang和K.Yoon于1981年首次提出，TOPSIS法根据有限个评价对象与理想化目标的接近程度进行排序的方法，是在现有的对象中进行相对优劣的评价。TOPSIS法是一种逼近于理想解的排序法，该方法只要求各效用函数具有单调递增（或递减）性就行。TOPSIS法是多目标决策分析中一种常用的有效方法，又称为优劣解距离法。
The TOPSIS (Technique for Order Preference by Similarity to an Ideal Solution) method was first proposed by C.L. Hwang and K. Yoon in 1981. TOPSIS is a method of ranking according to the proximity of a limited number of evaluation objects to the ideal goal, which is to evaluate the relative advantages and disadvantages of the existing objects. TOPSIS method is a sort method that approximates the ideal solution. This method only requires monotonic increasing (or decreasing) of each utility function. TOPSIS method is a commonly used and effective method in multi-objective decision analysis, also known as the superior and inferior solution distance method.
原理：通过检测评价对象与最优解、最劣解的距离来进行排序，若评价对象最靠近最优解同时又最远离最劣解，则为最好；否则不为最优。其中最优解的各指标值都达到各评价指标的最优值。最劣解的各指标值都达到各评价指标的最差值。
Principle: sort by detecting the distance between the evaluation object and the optimal solution and the worst solution. If the evaluation object is closest to the optimal solution and is farthest from the worst solution, it is the best; Otherwise, it is not optimal. Each index value of the optimal solution reaches the optimal value of each evaluation index. Each index value of the worst solution reaches the worst value of each evaluation index.
TOPSIS法其中“理想解”和“负理想解”是TOPSIS法的两个基本概念。所谓理想解是一设想的最优的解（方案），它的各个属性值都达到各备选方案中的最好的值；而负理想解是一设想的最劣的解（方案），它的各个属性值都达到各备选方案中的最坏的值。方案排序的规则是把各备选方案与理想解和负理想解做比较，若其中有一个方案最接近理想解，而同时又远离负理想解，则该方案是备选方案中最好的方案。
In TOPSIS method, "ideal solution" and "negative ideal solution" are two basic concepts. The so-called ideal solution is a hypothetical optimal solution (scheme), and its attribute values reach the best of the alternatives; The negative ideal solution is the worst solution (scheme) of an assumption, and its attribute values reach the worst value among the alternatives. The rule of scheme ranking is to compare each alternative with the ideal solution and negative ideal solution. If one of the alternatives is closest to the ideal solution, but is far away from the negative ideal solution, then this option is the best one among the alternatives.
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That's it for today's sharing.
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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.
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