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今天小编为大家带来《概率语言环境下考虑决策者行为的多属性决策方法及应用研究》的VIKOR多属性决策方法部分。
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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）
今天小编将从“思维导图、精读内容、知识补充”三个板块，解读分享《概率语言环境下考虑决策者行为的多属性决策方法及应用研究》的VIKOR多属性决策方法部分。
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 思维导图（Mind mapping）
3 精读内容（Intensive reading content）
第二部分的第二小节为概率不确定语言后悔欣喜值。传统的后悔理论通常用于两个备选方案之间的选择，这在现如今更加复杂的现实情况下往往不能达成很好的结果，所以作者将基于后悔理论的方法拓展到了概率不确定语言环境下，多个方案间选择最优的问题，以更好地解决现实问题。
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表示备选方案，x表示备选方案的结果，则可以得出概率不确定语言术语集的表示方法和决策者对方案A的综合感知效用。综合感知效用中，R表示决策者的后悔欣喜值，基于其不同值而分别代表后悔值和欣喜值。
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.
在不同属性下正负理想解的计算也有所不同，作者在此罗列了在效益型属性和成本型属性下的正负理想解的计算公式。通过计算概率不确定语言的得分函数，可得到后悔值与欣喜值的具体值。
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.
最终可得到属性值相较于正负理想解的折中后悔欣喜值，其中k表示决策者的决策偏好，k的不同取值分别表示决策者的决策偏向，分别表示悲观、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.
为了体现属性权重的影响，最后还要将属性与后悔函数构建的概率不确定语言后悔欣喜矩阵进行结合，得到概率不确定总体感知效用矩阵。
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 知识补充（Knowledge supplement）
什么是效用及其特点？
What is utility and its characteristics?
效用是指商品或者劳务给人们带来的满足程度，它是消费者在消费商品或者服务时所感受到的一种心理感受。效用是消费者在消费商品或服务时所获得的总的利益，包括物质的、心理的、身体上的和金钱上的利益。效用有主观性和综合性的特点，其受客观条件的影响，随时间动态变化，且不可比较。
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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参考资料：
翻译：ChatGPT 3.5
文字：
https://www.zhihu.com/question/643741838/answer/3408314666
参考文献：杨雅旭. 概率语言环境下考虑决策者行为的多属性决策方法及应用研究 [D]. 保定: 河北大学, 2023.
本文由LearningYard学苑整理并发出，如有侵权请后台留言沟通。
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