Posted on Categories:Graph Theory, 图论, 数学代写

# 数学代写|图论代考GRAPH THEORY代写|MS-E1050 Traffic Light Signaling Using Fuzzy Graph Coloring

avatest™

## avatest™帮您通过考试

avatest™的各个学科专家已帮了学生顺利通过达上千场考试。我们保证您快速准时完成各时长和类型的考试，包括in class、take home、online、proctor。写手整理各样的资源来或按照您学校的资料教您，创造模拟试题，提供所有的问题例子，以保证您在真实考试中取得的通过率是85%以上。如果您有即将到来的每周、季考、期中或期末考试，我们都能帮助您！

•最快12小时交付

•200+ 英语母语导师

•70分以下全额退款

## 数学代写|图论代写GRAPH THEORY代考|Traffic Light Signaling Using Fuzzy Graph Coloring

In traffic light signaling, red color is used to indicate ‘stop’, green is used to indicate ‘go’, and the third color (usually amber) is used to indicate that the route is open, but needs attention. Consequently, this third light does not indicate how much risk is there on the route. It creates a dilemma as it is hard to figure out which route is more crowded than the other. Large number of traffic needs to be controlled using these lights at all time. Also, some paths collide precariously as compared to different routes. The terms “crowder”, “caution” can not be represented by a crisp graph or FGs with crisp vertices and hence a crisp graph or a FG with crisp vertices does not represent the traffic light signaling properly.

In traffic light signaling, red and green colors are used. Here, a modified approach is used for traffic light management.

In the proposed approach, the end vertices of a strong edge are colored by red and green colors and the end vertices of a weak edge are colored by fuzzy colors.

The traffic light signaling system can be modeled using a FG as described below: For each route a vertex is considered and the membership value of the vertex is the degree of crowdedness of the corresponding route. An edge is drawn between two (vertices) routes if they intersect. The membership value of an edge denotes the probability of accident when the corresponding routes are opened. Obviously, the resultant graph is a $\mathrm{FG}$, i.e. any traffic light signaling system can be modeled by a FG. Now, the red signal indicates full stoppage of the route and green color means the route is fully open. Fuzzy red symbolizes some danger rather than full closing of the route and fuzzy green will symbolize little less safety than full green signal. In such $\mathrm{FG}$, strong edges express that two routes corresponding to the end vertices can not be opened simultaneously. Therefore, when one route is opened, the other is closed. A weak edge in the $\mathrm{FG}$ represents little less danger between the routes of the corresponding vertices. In this case, if one end vertex is colored with red (or green), then another end vertex must be colored with fuzzy green (or fuzzy red).

## 数学代写|图论代写GRAPH THEORY代考|Selection of Job

The edge coloring of FG can also be used to represent the job selection problem efficiently. Nowadays, organizations/companies are designing good web sites to advertise for their vacant posts with detailed information such as post name, salary structure, eligibility criteria, terms \& conditions, etc. Potential candidates can understand which companies are appropriate as per his/her expertise.

Suppose $M$ web sites are available from $M$ organizations mentioning the above details. Again, we assume that $N$ number of candidates have registered for jobs with their curriculum vitae and other details. For the entire processes, the organizations and candidates are considered as vertices. If the minimum eligibility criteria of a company is fulfilled by a candidate then an edge is drawn between them (see Fig. 10.9).

Now the membership values of the vertices corresponding to the companies may depend on the following issues.

Salary, company brand value, product value, job security, medical facility, car facility, insurance facility, accommodation facility, service rule, service hours, job responsibility, etc.

The membership values of vertices corresponding to the candidates depend on following parameters – academic qualification, experience, languages known, communication skill, age, salary requirement, compensation, behavior, etc.

The membership values of edges are computed based on the matching of criteria of the companies with the profile of the applicants. The relationship between companies and applicants is constructed as a fuzzy bipartite graph $\mathscr{G}_B$.

Till now, we talked about the formation of the FG for the companies and applicants.
Now, we give a detailed explanation of the selection process.

## 数学代写|图论代写GRAPH THEORY代考|Selection of Job

FG 的边缘着色也可以用来有效地表示工作选择问题。如今，组织/公司正在设计好的网站来为他们的空缺职位 做广告，其中包含职位名称、薪资结构、资格标准、条款 \条件等详细信息。潜在候选人可以根据自己的情况了 解哪些公司是合适的专业知识。

## MATLAB代写

MATLAB 是一种用于技术计算的高性能语言。它将计算、可视化和编程集成在一个易于使用的环境中，其中问题和解决方案以熟悉的数学符号表示。典型用途包括：数学和计算算法开发建模、仿真和原型制作数据分析、探索和可视化科学和工程图形应用程序开发，包括图形用户界面构建MATLAB 是一个交互式系统，其基本数据元素是一个不需要维度的数组。这使您可以解决许多技术计算问题，尤其是那些具有矩阵和向量公式的问题，而只需用 C 或 Fortran 等标量非交互式语言编写程序所需的时间的一小部分。MATLAB 名称代表矩阵实验室。MATLAB 最初的编写目的是提供对由 LINPACK 和 EISPACK 项目开发的矩阵软件的轻松访问，这两个项目共同代表了矩阵计算软件的最新技术。MATLAB 经过多年的发展，得到了许多用户的投入。在大学环境中，它是数学、工程和科学入门和高级课程的标准教学工具。在工业领域，MATLAB 是高效研究、开发和分析的首选工具。MATLAB 具有一系列称为工具箱的特定于应用程序的解决方案。对于大多数 MATLAB 用户来说非常重要，工具箱允许您学习应用专业技术。工具箱是 MATLAB 函数（M 文件）的综合集合，可扩展 MATLAB 环境以解决特定类别的问题。可用工具箱的领域包括信号处理、控制系统、神经网络、模糊逻辑、小波、仿真等。