周一分享(五十三):博士论文《几类犹豫模糊决策方法研究》

《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》第四章积性概率犹豫信息集成及其群决策方法中的积性概率犹豫集、积性概率犹豫元、积性概率犹豫元标准化、积性概率犹豫元的得分函数与偏差函数、积性概率犹豫元之间的Hausdorff距离。

Today, the editor will bring you the Hausdorff distance between the score function and the bias function and the product probability hesitation element in the group decision-making method in the fourth chapter of "Research on Several Types of Hesitant Fuzzy Decision Making Methods" in the three sections of mind map, intensive reading content and knowledge supplementation.

01

思维导图

第四章积性概率犹豫信息集成及其群决策方法的基础知识思维导图如下图所示：

Chapter 4 The basic knowledge of product probability hesitation information integration and group decision-making method The mind map is shown in the following figure:

02

精读内容

积性概率犹豫集（PHMS）与积性概率犹豫元（PHME）的定义及例子：

Definitions and examples of Integral Probabilistic Hesitation Set (PHMS) and Integrally Probabilistic Hesitant Element (PHME):

当总的概率小于1时，对积性概率犹豫集的定义进行修正，得到广义的积性概率犹豫元（G-PHME）。

When the total probability is less than 1, the definition of the integral probability hesitation set is modified to obtain the generalized integral probability hesitation element (G-PHME).

积性概率犹豫元标准化（A-PHME）的方法及例子：

Definition and examples of the correlation product probabilistic hesitation element (A-PHME):

积性概率犹豫元的得分函数与偏差函数的定义：

Definition of the score function and bias function of the product probability hesitation element:

积性概率犹豫元的比较法则及例子：

Comparative rules and examples of the hesitant element of product probability:

积性概率犹豫元之间的Hausdorff距离定义、性质、例子：

Hausdorff distance definitions, properties, examples between integrally probabilistic hesitation elements:

03

知识补充

那么公式中的Π是什么意思呢？上面提到的Hausdorff距离是什么呢？

What does Π mean in the formula? What is the Hausdorff distance mentioned above?

Π是求积符号。∏是希腊字母，即π的大写形式，在数学中表示求积运算或直积运算，形式上类似于Σ。

Π is the product symbol. ∏ is the Greek alphabet, the uppercase form of π, which in mathematics means the product operation or the direct product operation, similar in form to Σ.

Hausdorff距离：

Hausdorff distance:

今天的分享就到这里了。

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祝您今天过得开心快乐！

That's it for today's sharing.

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welcome to leave us a message,

let us meet tomorrow.

I wish you a happy day today!

参考资料：Bing Microsoft Translator

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.

本文由LearningYard学苑原创，如有侵权请在后台留言！

[2]曹健,杨志强,刘晨晨.基于Hausdorff距离的光纤陀螺阈值滤波算法[J].金属矿山,2020(04):171-177.DOI:10.19614/j.cnki.jsks.202004027.

文字|Zheng

排版|Zheng

审核|任务达人