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這裡是LearningYard學苑！
今天小編給大家帶來期刊論文精讀，
歡迎您的用心通路！
本期推文閱讀時長大約6分鐘，請您耐心閱讀。
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.
今天小編将從思維導圖、精讀内容、知識補充三個闆塊為大家帶來論文《屬性關聯的雙極容度多屬性決策 VIKOR方法》案例分析，接下來我們開始今天的學習吧！
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!
思維導圖
本節内容思維導圖如下所示：
A mind map of the contents of this section is shown below.
精讀内容
在前幾期推文中，我們對算例中的最小個體遺憾值Ri進行了計算，然後求解了不同折衷系數下的綜合評價值Q，接下來讓我們依據 VIKOR 對方案排序的判斷規則 ，對方案優劣順序進行判定。
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.
在步驟七中，主要是确定方案的排列順序，根據 Qi、 Si、Ri 對方案進行從大到小排序， 得到３個排序序列。
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.
接着是對比分析，原有基于模糊測度的屬性關聯多屬性決策vikor方法與本文所采用的方法結果不同，本文提出的屬性關聯的雙極容度多屬性決策vikor方法更能夠權衡不同方案的差異及描述決策者的心理，更加符合實際。
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.
最後是結論，本文結論描述如下所示：
Finally, the conclusion of this paper is described as follows:
知識補充
我們在學習本節内容的過程中提到了多屬性決策TOPSIS方法，接下來讓我們一起來了解一下吧!
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法根據有限個評價對象與理想化目标的接近程度進行排序的方法，是在現有的對象中進行相對優劣的評價。TOPSIS法是一種逼近于理想解的排序法，該方法隻要求各效用函數具有單調遞增（或遞減）性就行。TOPSIS法是多目标決策分析中一種常用的有效方法，又稱為優劣解距離法。
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：通過檢測評價對象與最優解、最劣解的距離來進行排序，若評價對象最靠近最優解同時又最遠離最劣解，則為最好；否則不為最優。其中最優解的各名額值都達到各評價名額的最優值。最劣解的各名額值都達到各評價名額的最內插補點。
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“負理想解”是TOPSIS法的兩個基本概念。所謂理想解是一設想的最優的解（方案），它的各個屬性值都達到各備選方案中的最好的值；而負理想解是一設想的最劣的解（方案），它的各個屬性值都達到各備選方案中的最壞的值。方案排序的規則是把各備選方案與理想解和負理想解做比較，若其中有一個方案最接近理想解，而同時又遠離負理想解，則該方案是備選方案中最好的方案。
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.
今天的分享就到這裡了。
如果您對今天的文章有獨特的想法，
歡迎給我們留言，
讓我們相約明天，
祝您今天過得開心快樂！
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!
參考資料：DeepL翻譯、百度百科
參考文獻：
[1]林萍萍,李登峰,江彬倩,餘高鋒,韋安鵬.屬性關聯的雙極容度多屬性決策VIKOR方法[J].系統工程理論與實踐,2021,41(08):2147-2156.
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