《几类犹豫模糊决策方法研究》精读

Intensive reading of

"Study on Methods for Hesitant Fuzzy Decision Making"

分享兴趣，传播快乐，

增长见闻，留下美好。

亲爱的您，

这里是LearingYard学苑！

今天小编为大家带来《几类犹豫模糊决策方法研究》精读。

欢迎您的用心访问！

本期推文阅读时长大约5分钟，请您耐心阅读。

Share interest, spread happiness,

increase knowledge, and leave beautiful.

Dear you,

this is the LearingYard Academy!

Today, the editor brings intensive reading of "Study on Methods for Hesitant Fuzzy Decision Making".

Welcome your visit!

The reading time of this tweet is about 5 minutes, please read it with patience.

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《几类犹豫模糊决策方法研究》案例分析及小结。

Today, the editor will bring you the case analysis and summary of "Study on Methods for Hesitant Fuzzy Decision Making" from three sections: mind map, intensive reading content, and knowledge supplementation.

01

思维导图

02

精读内容

案例：

Case:

计算步骤：

Calculation steps:

小结：

summary：

第五章针对残缺信息的PHMPR问题，提出了一种基于期望一致性的PHMPR群决策方法。首先，对于残缺信息的PHMPR矩阵，提出了基于期望一致性的PHMPR概率计算方法。该方法不仅能求出未知概率，而且还能得到方案的排序。但是，完整信息的PHMPR矩阵可能是不一致的，从而定义期望一致性指标ECI来评估PHMPR矩阵的期望一致性，同时给出了一个PHMPR矩阵不一致时的迭代优化算法来提高期望一致性水平，以及各方案的排序。最后，以养老院选择问题为例，验证该方法的可行性和有效性。

In the fifth chapter, a PHMPR group decision-making method based on expected consistency is proposed for the PHMPR problem of incomplete information. Firstly, for the PHMPR matrix of incomplete information, a PHMPR probability calculation method based on expected consistency is proposed. This method can not only find the unknown probability, but also get the ranking of schemes. However, the PHMPR matrix with complete information may be inconsistent, so the expected consistency index ECI is defined to evaluate the expected consistency of the PHMPR matrix, and an iterative optimization algorithm is given when the PHMPR matrix is inconsistent to improve the expected consistency level and the ranking of each scheme. Finally, taking the nursing home selection problem as an example, the feasibility and effectiveness of the method are verified.

03

知识补充

残缺信息

Incomplete information

随着社会的飞速发展，信息膨胀，由于决策者掌握信息有限等原因，对复杂事物的认识出现了不完全的特征，对事物的某方面无法给出准确地判断信息，导致决策信息的残缺。而且由于判断工作量过大、决策者利益冲突等实际情况，决策者对某些方面的判断信息会放弃，导致残缺判断。

With the rapid development of society, information expansion, due to the limited information of decision-makers, the understanding of complex things has incomplete characteristics, and some aspects of things cannot be accurately judged information, resulting in the incompleteness of decision-making information. Moreover, due to the actual situation such as excessive judgment workload and conflict of interest of decision-makers, decision-makers will give up their judgment information on certain aspects, resulting in incomplete judgment.

残缺数据补足方法

Methods for completing incomplete data

一般分为两类：单一填补方法和多重填补法。单一填补法是指对每个缺失值只进行一次填补进而得到其替代值的方法，主要包括均值填补、回归填补、就近填补、众数填补等。这类填补方法操作简单，节省时间，但填补误差较大。多重填补法，顾名思义，是指先对残缺值进行多次填补，进而得到补足值的方法，其中包括随机回归填补法、趋势得分法、期望最大化法等。这类方法能够较好地保持变量之间的关系，填补结果也更精确，但填补过程较复杂，收敛时间较长。

It is generally divided into two categories: single filling method and multiple filling method. The single filling method refers to the method of filling each missing value only once and obtaining its alternative value, mainly including mean filling, regression filling, nearest filling, mode filling, etc. This type of filling method is simple to operate and saves time, but the filling error is large. Multiple filling method, as the name implies, refers to the method of filling the incomplete value multiple times and then obtaining the supplementary value, including random regression filling method, trend scoring method, expectation maximization method, etc. This method can better maintain the relationship between variables and the filling results are more accurate, but the filling process is more complex and the convergence time is longer.

今天的分享就到这里了。

如果您对今天的文章有独特的想法，

欢迎给我们留言，

让我们相约明天。

祝您今天过得开心快乐！

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!

参考资料：Bing Microsoft Translator、CSDN、百度

参考文献：

[1]蒋沈庆. 几类犹豫模糊决策方法研究 [D]. 南京师范大学, 2021.

[2]董乾坤. 残缺信息评价问题的随机求解及其在可持续发展中的应用 [D]. 东北大学, 2019.

本文由LearningYard学苑原创，如有侵权请在后台留言！

文字|Zheng

排版|Zheng

审核|任务达人