喆学（97）：精读复刻论文数值分析(2)

摘要：This issue of the post will introduce the numerical analysis of the intensive reading and reproduction paper "Research on Green Su

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“喆学（97）：精读复刻论文

《考虑公平偏好和绿色创新的绿色供应链策略研究》

数值分析(2)”

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Today, the editor brings you the article

Zhexue (97): Intensive reading and reproduction

of the paper

"Research on green supply chain strategy

considering fairness preference and green innovation"

Numerical analysis(2)"

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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复刻论文《考虑公平偏好和绿色创新的绿色供应链策略研究》的数值分析。

This issue of the post will introduce the numerical analysis of the intensive reading and reproduction paper "Research on Green Supply Chain Strategies Considering Fairness Preferences and Green Innovation" from three aspects: mind mapping, intensive reading content, and knowledge supplement.

一、思维导图（Mind Maps）

二、精读内容（Intensive reading content）

为了画出更符合要求的图，我们需要将数据导入matlab并使用matlab画图。

In order to draw a graph that meets the requirements, we need to import the data into MATLAB and use MATLAB to draw the graph.

(1)绿色创新努力与制造商公平偏好(Green innovation efforts and manufacturers' fairness preferences)

在进行数学模型的转换和可视化过程中，我们首先利用了Tomatlab工具，将原本在Mathematica中构建的复杂数学表达式转换为Matlab可识别的形式。

In the process of converting and visualizing the mathematical model, we first used the Tomatlab tool to convert the complex mathematical expressions originally constructed in Mathematica into a form recognizable by Matlab.

我们使用这些转换后的表达式在Matlab中进行了赋值和绘图。我们定义了emMM和erRM两个函数，分别对应于转换后的两个数学表达式。然后，我们创建了一个从0到1的lambda值数组，并使用这些值来计算emMM和erRM的值。

We used these transformed expressions to perform assignments and plots in Matlab. We defined two functions, emMM and erRM, corresponding to the two transformed mathematical expressions. We then created an array of lambda values from 0 to 1 and used these values to calculate the values of emMM and erRM.

接下来，我们使用plot函数绘制了两个函数的图形，其中emMM用红色虚线表示，erRM用蓝色实线表示。通过设置线宽为2，我们可以清晰地展示这两个函数的变化趋势。最后，我们添加了图例、标题，以便更好地比较和分析结果。

Next, we use the plot function to plot the graphs of the two functions, where emMM is represented by a red dashed line and erRM is represented by a blue solid line. By setting the line width to 2, we can clearly show the changing trends of the two functions. Finally, we add legends and titles to better compare and analyze the results.

(2)需求量与制造商公平偏好(Demand and Manufacturers' Fair Preferences)

在进行数学模型的转换和可视化过程中，我们首先利用了Tomatlab工具，将原本在Mathematica中构建的复杂数学表达式转换为Matlab可识别的形式。

在这张图中，我们首先在Matlab中定义了一系列参数和函数qRM和qMM。接下来，我们使用Matlab的绘图功能来可视化这些函数。我们首先创建了一个新的图形窗口，然后使用plot函数绘制了qMM和qRM两个函数的图形。qMM用红色虚线表示，而qRM用蓝色实线表示，线宽都设置为2，以提高图形的可读性。

In this figure, we first define a series of parameters and functions qRM and qMM in Matlab. Next, we use Matlab's plotting function to visualize these functions. We first create a new graphics window and then use the plot function to plot the two functions qMM and qRM. qMM is represented by a red dashed line, while qRM is represented by a blue solid line. The line width is set to 2 to improve the readability of the graph.

三、知识补充（Knowledge supplement）

在Matlab中，plot 函数是用来绘制二维图形的基本函数。它可以根据提供的x和y坐标数据绘制点、线或两者的组合。以下是plot函数的一些常用格式和选项：

In Matlab, the plot function is a basic function used to draw two-dimensional graphics. It can draw points, lines, or a combination of both based on the provided x and y coordinate data. The following are some common formats and options of the plot function:

(1)基本用法：plot(x, y)，这里，x和y是相同长度的向量，plot将绘制从(x(1), y(1))到(x(end), y(end))的线段。plot(x, y, '.')，使用点 '.' 作为第三个参数，plot 将仅绘制点，不连接它们。plot(x, y, '-o')，使用 '-o' 作为第三个参数，plot 将绘制线条并通过点绘制圆圈。

(1) Basic usage: plot(x, y), where x and y are vectors of the same length, plot will draw a line from (x(1), y(1)) to (x(end), y(end)). plot(x, y, '.'), using the dot '.' as the third argument, plot will only draw the points without connecting them. plot(x, y, '-o'), using '-o' as the third argument, plot will draw lines and circles through the points.

(2)颜色和线型(Color and line type)

颜色: 可以通过在线条类型前添加颜色代码来改变线条颜色，例如 'r' 表示红色，'b' 表示蓝色。

Color: The line color can be changed by adding a color code before the line type, for example 'r' for red, 'b' for blue.

线型: 可以指定线型，如 '--' 表示虚线，'-.' 表示点划线。

Line type: You can specify the line type, such as '--' for dashed line, '-.' for dotted line.

线宽: 可以通过 'LineWidth' 属性设置线条的宽度，例如 'LineWidth', 2 将线条宽度设置为2。

Line width: You can set the line width using the 'LineWidth' property, for example 'LineWidth', 2 sets the line width to 2.

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