安玲学记(191)——精读期刊论文基于BWM和信息熵的混合权重模型

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今天小编为大家带来“精读期刊论文《基于MARCOS的二维语言直觉多属性群决策方法》的5.1基于BWM和信息熵的混合权重模型”。

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Today, the editor brings the "the 5.1 mixed weight model based on BWM and information entropy of the journal paper 'MARCOs-based two-dimensional language intuitive multi-attribute group decision Method'".

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一、内容摘要（Content summary）

本期推文将从思维导图、精读内容、知识补充三个方面介绍精读期刊论文《基于MARCOS的二维语言直觉多属性群决策方法》的基于BWM和信息熵的混合权重模型。

This issue of tweets will introduce the mixed weight model based on BWM and information entropy of the intensive reading journal paper "MARCOs-based two-dimensional language intuitive multi-attribute group decision Method" from three aspects: mind mapping, intensive reading content, and knowledge supplement.

二、思维导图（Mind Mapping）

三、精读内容（Detailed Reading Content）

在该章节的第一小节开始之前，作者首先对本文的多属性决策问题进行了问题假设并且给出了其流程图。

Before the first section of this chapter, the author first makes the problem hypothesis for the multi-attribute decision problem in this paper and gives its flow chart.

接下来将为大家介绍获取了决策评价信息后的阶段2的步骤，即基于BWM和信息熵的混合权重模型。

Next, we will introduce the steps of stage 2 after obtaining the decision evaluation information, that is, the mixed weight model based on BWM and information entropy.

首先是利用最优最劣方法（BWM）计算主观权重。具体步骤为：（1）确定最优和最劣属性；（2）利用1-9标度打分，确定最优属性与所有属性的偏好程度；（3）利用1-9标度打分，确定所有属性与最劣属性的偏好程度。（4）构建数学规划模型计算主观属性权重；（5）计算一致性比例并进行比较，如果符合则输出权重，不符合则转至步骤2进行调整。

First, the subjective weight is calculated using the best and worst method (BWM). The specific steps are: (1) Determine the optimal and worst attributes; (2) Using the 1-9 scale score to determine the preference degree of the optimal attribute and all attributes; (3) Use 1-9 scale scores to determine the degree of preference between all attributes and the worst attributes. (4) Construct mathematical programming model to calculate subjective attribute weight; (5) Calculate the consistency ratio and compare. If yes, output the weight; if no, go to Step 2 for adjustment.

然后是利用熵权法计算客观权重。具体步骤为：（1）将二维语言决策变量（2-DLIFV）评价矩阵转化为精确数评价矩阵；（2）计算各方案关于属性的熵；（3）计算属性的客观权重。

Then the objective weight is calculated by entropy weight method. The specific steps are as follows: (1) the evaluation matrix of 2-DLIFV is transformed into the exact number evaluation matrix; (2) Calculate the entropy of attributes of each scheme; (3) Calculate the objective weight of the attribute.

在得到属性的主、客观权重之后，利用主客观加权计算的方法得到混合权重。

After the subjective and objective weights of attributes are obtained, the mixed weights are obtained by using the subjective and objective weighting method.

四、知识补充——1-9标度（Knowledge Supplement - Scale 1-9）

1-9标度（也称为Liker特尺度）是一种常用的量表形式，用于评估人们对某一事物、观点或情感的态度或意见的程度。这种标度通常在问卷调查、满意度调查以及心理学研究中被广泛使用。

The 1-9 scale (also known as the Liker special scale) is a form of scale commonly used to assess the extent to which people have an attitude or opinion about a thing, idea, or emotion. This scale is commonly used in questionnaires, satisfaction surveys, and psychological studies.

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参考资料：ChatGPT、百度百科

参考文献：

许雷, 刘熠, 刘芳等. 基于MARCOS的二维语言直觉多属性群决策方法 [J]. 模糊系统与数学, 2022, 36(5): 128-141.

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文案| Ann

排版| Ann

审核| 姜疯雨火