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

# 数学代写|图论代考GRAPH THEORY代写|MATH7331 Application of if Min-Tolerance Graph

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|Application of if Min-Tolerance Graph

Consider a group of employees each scheduled to work for a fixed interval of time in a company. Each employee is each assigned to a single work for their entire work interval. A conflict arises if two employees are assigned to work on the same work station at the same time. Then a tolerance arises in a natural way. Let three employees $p_1, p_2, p_3$ are assigned for the same work and their time intervals be $\mathscr{I}_1=[2,4], \mathscr{I}_2=[6,9], \mathscr{I}_3=[11,14]$. These are taken as core of the intervals. The time interval $[2,4]$ means the working time of an employee from 2 a.m. to 4 a.m. (say). Also, assume that they are working inactively as well as actively in the time intervals $[1,6],[3,10],[8,15]$, which are taken as the support of the intervals.
Then $h\left(\mathscr{I}_1 \cap \mathscr{I}_2\right)=(0.6,0.4), h\left(\mathscr{I}_2 \cap \mathscr{I}_3\right)=(0.5,0.5), h\left(\mathscr{I}_1 \cap \mathscr{I}_3\right)=(0,0)$, which is shown in Fig.9.15.

Since the time intervals intersect, the tolerance needs to be considered. Let $\mathscr{T}_1, \mathscr{T}_2, \mathscr{T}_3$ be the tolerances. Therefore,
$C L\left(\mathscr{T}_1\right)=1, C L\left(\mathscr{T}_2\right)=2, C L\left(\mathscr{T}_3\right)=3$ and $S L\left(\mathscr{T}_1\right)=2, S L\left(\mathscr{T}_2\right)=1, S L\left(\mathscr{T}_3\right)=$ 1 , and, $\mu\left(p_1, p_2\right)=(0.4,0.27), \mu\left(p_2, p_3\right)=(0.25,0.25)$ and $\mu\left(p_1, p_3\right)=(0,0)$. Then there is a relation between the employees $p_1$ and $p_2 ; p_2$ and $p_3$. But there is no relation between the employees $p_1$ and $p_3$. Then the corresponding IF min-tolerance graph is shown in Fig.9.16.

## 数学代写|图论代写GRAPH THEORY代考|Intuitionistic Fuzzy Max-Tolerance Graphs

Like min-tolerance graph one can define max-tolerance graph by defining the function $\phi$ as $\phi(x, y)=\max {x, y}$. Then the IF $\phi$-TG is said to be intuitionistic fuzzy max-tolerance graph (IFMxTG).

Definition 9.66 An IF $\phi$-TG is said to be intuitionistic fuzzy max-tolerance graph if $\phi(x, y)=\max {x, y}$ for any $x, y$.
The following example describes an IFMxTG.
Example 9.14 Let us consider three IFIs $\mathscr{I}_1, \mathscr{I}_2, \mathscr{I}_3$ with corresponding IFTs $\mathscr{T}_1$, $\mathscr{T}_2, \mathscr{T}_3$. Let $[2,4],[6,9],[11,14]$ be the cores and $[0,6],[5.5,12],[10.5,16]$ be the supports of the IFIs respectively. For these three IFIs, we consider three nodes $p_1, p_2, p_3$.

Therefore, $C L\left(\mathscr{T}_1\right)=2, C L\left(\mathscr{T}_2\right)=1, C L\left(\mathscr{T}_3\right)=3$ and $S L\left(\mathscr{T}_1\right)=0.2, S L\left(\mathscr{T}_2\right)$ $=0.4, S L\left(\mathscr{T}_3\right)=0.7$
Then $h\left(\mathscr{I}_1 \cap \mathscr{I}_2\right)=(0.2,0.8), h\left(\mathscr{I}_2 \cap \mathscr{I}_3\right)=(0.43,0.56)$.
The graph has three nodes for three IFIs and two arcs. The membership and nonmembership values of the arcs are $\mu\left(p_1, p_2\right)=(0.04,0.16), \mu\left(p_2, p_3\right)=(0.23$, $0.30)$

## 数学代写|图论代写GRAPH THEORY代考|Application of if MinTolerance Graph

$\mu\left(p_1, p_2\right)=(0.4,0.27), \mu\left(p_2, p_3\right)=(0.25,0.25)$ 和 $\mu\left(p_1, p_3\right)=(0,0)$. 然后是员工之间的关系 $p_1$ 和 $p_2 ; p_2$ 和 $p_3$. 但是员工之间没有关系 $p_1$ 和 $p_3$. 然后相应的 IF 最小容差图如图 $9.16$ 所示。

## 数学代写|图论代写GRAPH THEORY代考|Intuitionistic Fuzzy MaxTolerance Graphs

$\mu\left(p_1, p_2\right)=(0.04,0.16), \mu\left(p_2, p_3\right)=(0.23,0.30)$

## 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。