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今天小編為大家帶來《機率語言環境下考慮決策者行為的多屬性決策方法及應用研究》的VIKOR多屬性決策方法部分。
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Today, the editor brings the VIKOR method of the article "Research on multi-attribute decision making method and its application considering decision makers' behavior in probabilistic linguistic environment".
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1 内容摘要（Content summary）
今天小編将從“思維導圖、精讀内容、知識補充”三個闆塊，解讀分享《機率語言環境下考慮決策者行為的多屬性決策方法及應用研究》的VIKOR多屬性決策方法部分。
Today, the editor will interpret and share the VIKOR method of the article "Research on multi-attribute decision making method and its application considering decision makers' behavior in probabilistic linguistic environment" from the three sections of "mind map, intensive reading content, and knowledge supplement".
2 思維導圖（Mind mapping）
3 精讀内容（Intensive reading content）
第二部分的第二小節為機率不确定語言後悔欣喜值。傳統的後悔理論通常用于兩個備選方案之間的選擇，這在現如今更加複雜的現實情況下往往不能達成很好的結果，是以作者将基于後悔理論的方法拓展到了機率不确定語言環境下，多個方案間選擇最優的問題，以更好地解決現實問題。
The second subsection of Part Two discusses the regret-joy value in the context of probabilistic uncertain linguistic environments. Traditional regret theory is typically applied to the choice between two alternative options, which often fails to produce satisfactory results in complex real-world situations. Therefore, the author extends the application of regret theory to the problem of selecting the optimal choice among multiple options in a probabilistic uncertain linguistic environment, aiming to better address real-world problems.
使用A表示備選方案，x表示備選方案的結果，則可以得出機率不确定語言術語集的表示方法和決策者對方案A的綜合感覺效用。綜合感覺效用中，R表示決策者的後悔欣喜值，基于其不同值而分别代表後悔值和欣喜值。
In the representation of a probabilistic uncertain linguistic term set, denoted as A for alternative options and x for the outcomes of alternative options, the author establishes a comprehensive perceived utility of the decision-maker towards option A, incorporating regret and joy values represented by different values of R in the comprehensive perceived utility.
在不同屬性下正負理想解的計算也有所不同，作者在此羅列了在效益型屬性和成本型屬性下的正負理想解的計算公式。通過計算機率不确定語言的得分函數，可得到後悔值與欣喜值的具體值。
The calculation of positive and negative ideal solutions differs under different attributes. The author lists the formulas for calculating positive and negative ideal solutions under benefit-type and cost-type attributes. By calculating the scoring function of probabilistic uncertain linguistic terms, specific values of regret and joy can be obtained.
最終可得到屬性值相較于正負理想解的折中後悔欣喜值，其中k表示決策者的決策偏好，k的不同取值分别表示決策者的決策偏向，分别表示悲觀、欣喜和中立。
Ultimately, a compromise regret-joy value relative to the positive and negative ideal solutions is obtained for each attribute, where k represents the decision-maker's decision preference. Different values of k represent different decision biases of the decision-maker, representing pessimism, optimism, and neutrality respectively.
為了展現屬性權重的影響，最後還要将屬性與後悔函數建構的機率不确定語言後悔欣喜矩陣進行結合，得到機率不确定總體感覺效用矩陣。
To incorporate the influence of attribute weights, the attributes are combined with the regret-joy matrix constructed by the regret function to obtain the overall perceived utility matrix for probabilistic uncertain linguistic environments.
4 知識補充（Knowledge supplement）
什麼是效用及其特點？
What is utility and its characteristics?
效用是指商品或者勞務給人們帶來的滿足程度，它是消費者在消費商品或者服務時所感受到的一種心理感受。效用是消費者在消費商品或服務時所獲得的總的利益，包括物質的、心理的、身體上的和金錢上的利益。效用有主觀性和綜合性的特點，其受客觀條件的影響，随時間動态變化，且不可比較。
Utility refers to the degree of satisfaction that goods or services bring to individuals. It is a psychological feeling experienced by consumers when consuming goods or services. Utility encompasses the total benefits that consumers derive from consuming goods or services, including material, psychological, physical, and monetary benefits. Utility has the characteristics of subjectivity and comprehensiveness. It is influenced by objective conditions, dynamically changes over time, and cannot be compared.
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參考資料：
翻譯：ChatGPT 3.5
文字：
https://www.zhihu.com/question/643741838/answer/3408314666
參考文獻：楊雅旭. 機率語言環境下考慮決策者行為的多屬性決策方法及應用研究 [D]. 保定: 河北大學, 2023.
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