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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MULTIMOORA多属性决策方法部分。
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Share interest, spread happiness, increase knowledge, and leave beautiful.
Dear, this is the LearingYard Academy!
Today, the editor brings the MULTIMOORA method of the article "Research on multi-attribute decision making method and its application considering decision makers' behavior in probabilistic linguistic environment".
Welcome to visit!
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MULTIMOORA多属性决策方法部分。
Today, the editor will interpret and share the MULTIMOORA 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）
在基于概率语言术语集的改进MULTIMOORA多属性决策方法部分，作者首先介绍了MULTIMOORA方法，这种方法于2006年被初步提出，2010年进行了进一步地改进和提升。
In the section on the improved MULTIMOORA multi-attribute decision-making method based on probability language terms, the author first introduces the MULTIMOORA method, which was initially proposed in 2006 and further refined and enhanced in 2010.
MULTIMOORA方法最初包括比率分析法和参考点法两种方法，在后续的完善中，增添了完全相乘法，使得MULTIMOORA方法成为了一种综合三种方法，集三种方法优点为一身的好方法。
The MULTIMOORA method originally consisted of two methods: ratio analysis and reference point method. In subsequent improvements, the fully multiplicative method was added, making the MULTIMOORA method a comprehensive approach that integrates the advantages of the three methods into one.
MULTIMOORA方法的运算较为简单，通过多种决策方法，决策者可以更加直接地给出决策信息并进行聚合，从而得到三种方法集成从属方案排序，最终得到较为合理的决策结果。
The computation of the MULTIMOORA method is relatively straightforward. Through multiple decision-making methods, decision-makers can more directly provide decision information and aggregate it to obtain a ranking of integrated subordinate schemes based on the three methods, ultimately leading to a more reasonable decision result.
MULTIMOORA方法中的三种方法可分别得出最优方案排序，都有其独特的计算方法。
Each of the three methods in the MULTIMOORA method can derive optimal scheme rankings, each with its unique calculation method.
使用MULTIMOORA方法计算出的最终方案排名，是将三个子系统的方案排序结果基于占优理论进行综合分析得来的。根据平等、传递、支配等原则将三种排序结果进行综合，计算每个备选方案在每个位置上的概率值，将数值与排序结果进行整合，即可得到最终的排序。
The final scheme ranking calculated using the MULTIMOORA method is obtained through comprehensive analysis based on the dominance theory of the scheme rankings from the three subsystems. Following principles such as equality, transitivity, and dominance, the three ranking results are integrated by calculating the probability value of each alternative scheme at each position, integrating the numerical values with the ranking results to obtain the final ranking.
基于概率语言术语集的改进MULTIMOORA方法将三个子系统扩展到了概率语言环境中，进行概率语言术语的一些相关计算。计算中相较于普通情况下更加考虑属性权重的重要性，同时利用了组合权重法消除概率语言矩阵的不同指标维度对决策计算造成的一些负面影响。
The improved MULTIMOORA method based on probability language terms extends the three subsystems to the probability language environment, performing some related calculations of probability language terms. In these calculations, the importance of attribute weights is considered more significantly compared to ordinary situations, while the combination weight method is used to eliminate some negative effects caused by the different index dimensions of the probability language matrix on decision calculations.
此方法的决策步骤大致分为获取评估信息、选取参考方案、构建优化模型和方案排序等。
The decision steps of this method roughly involve obtaining evaluation information, selecting reference schemes, constructing optimization models, and scheme ranking, among others.
4 知识补充（Knowledge supplement）
什么是数学建模？
What is mathematical modeling?
数学建模，就是根据实际问题来建立数学模型，对数学模型来进行求解，然后根据结果去解决实际问题。
Mathematical modeling is the process of establishing mathematical models based on real-world problems, solving these models, and then using the results to address real-world issues.
当需要从定量的角度分析和研究一个实际问题时，人们就要在深入调查研究、了解对象信息、做出简化假设、分析内在规律等工作的基础上，用数学的符号和语言作表述来建立数学模型。
When there's a need to analyze and study a real-world problem from a quantitative perspective, people typically delve into detailed investigations, gather information about the subject, make simplifying assumptions, analyze underlying patterns, and then use mathematical symbols and language to formulate mathematical models.
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参考资料：
翻译：ChatGPT 3.5
文字：数学建模（数学分支）_百度百科 (baidu.com)
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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