面板数据灰色关联模型的研究及其应用

(3)The mapping form of the new panel data was come up with, which applied the grid method to describe the geometric characteristics of penal data in three-dimensional space. Considering the similarity and proximity of the segments respectively, the grid was then split into segments. Utilizing the slope of the line segment in space to construct the similar grid incidence coefficient, the grey similar grid incidence model was gained via the arithmetic mean method. Using the area covered by segments and bottom to build up the close grid incidence coefficient, the grey close grid incidence model was proposed using the arithmetic mean method. Finally, the quality of these two models was discussed.
(4) Applying the grey grid incidence model to evaluate the 3E systematic development level of Nanjing city and selecting seven typical cities to compare with each other, that Nanjing should greatly enhance the utilizing efficiency of resources was concluded based on the comparing result. Therefore, the feasibility and effectiveness of the proposed model was proved and verified by the instance, which could be expressed that the grey grid incidence model has good effects and practical values.
（4）运用灰色网格关联度模型对南京市 3E 系统发展水平进行评价，选取了 7 个典型城市 进行对比。验证了方法的可行性和有效性，说明灰色网格关联度模型具有良好效果。 关键词：灰色系统，灰色关联，面板数据，网格，相似，接近
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面板数据灰色关联模型研究及其应用
Abstract
For some of the problems that exist in the grey incidence model with respect to panel data, the classic grey incidence theory was expanded, this dissertation established the panel data grey incidence model based on the point distance. According to the geometric characteristics of the grid, grey grid incidence model that maps panel data to the grid structure in the space based on similar perspective and close perspective were constructed. The specific content of the research is mainly reflected in the following aspects.
第二章 灰色关联理论简介...........................................................................................................10 2.1 灰色关联算子集.............................................................................................................. 10 2.2 灰色关联模型.................................................................................................................. 13 2.2.1 邓氏关联度...........................................................................................................13 2.2.2 斜率关联度...........................................................................................................14 2.2.3 基于相似性和接近性视角的新型灰色关联度 ................................................... 15
(1) Define the definition of the panel data and classify it into three categories which were listed in a matrix. Referring to the idea of the single index series initialization, the incidence operator set of panel data was built up in accordance with the characteristics of panel data.
（保密的学位论文在解密后适用本承诺书）
作者签名： 日 期：
南京航空航天大学硕士学位论文
摘要
针对灰色关联模型应用在面板数据中存在的一些问题，将经典灰色关联理论进行拓展，构 建了基于点距离的面板数据灰色关联模型；将面板数据映射为空间中的网格结构，根据网格的 几何特性分别构建了基于相似视角和接近视角的灰色网格关联模型。研究的具体内容主要体现 在以下几个方面：
Keywords: Grey system; Grey incidence; Panel data; Grid; Similar; Close
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南京航空航天大学硕士学位论文
目录
第一章 绪论 .................................................................................................................................... 1 1.1 选题背景与研究意义........................................................................................................1 1.2 国内外研究现状................................................................................................................ 2 1.2.1 灰色关联分析模型.................................................................................................3 1.2.2 灰色关联模型的性质.............................................................................................4 1.2.3 灰色关联模型和面板数据模型的应用.................................................................5 1.2.4 研究现状评述.........................................................................................................6 1.3 本文主要内容、技术路线及创新点................................................................................7 1.3.1 主要内容................................................................................................................. 7 1.3.2 技术路线................................................................................................................. 7 1.3.3 文章结构................................................................................................................. 8 1.3.4 创新点..................................................................................................................... 9
A Thesis in System Engineering
by Liu Zhen Advised by Prof. Dang Yaoguo Submitted in Partial Fulfillment of the Requirements for the Degree of Master of Management
（1）明确了面板数据的定义，并将其分为三类，分别用矩阵表示。参考单指标数列初始化 思想，根据面板数据的特性，构建了面板数据的关联算子集；
（2）将邓氏关联度中的点概念引申至三维空间，构建了基于点距离的面板数据灰色关联度 模型，讨论了该模型的性质，并通过实例验证其有效性；
（3）提出新的面板数据序列映射形式，用网格法描述面板数据在三维空间中的几何特性。 将网格拆分为线段，分别考虑线段间的相似性和接近性。利用线段在空间中的斜率，构造相似 网格关联系数，得到灰色相似网格关联度模型；利用线段与底面所围成的面积，构造接近网格 关联系数，得到灰色接近网格关联度模型，并讨论了两个模型的性质；
(2) Extending the point concept of DENG incidence to the three-dimensional space, the grey incidence model using data based on point distance was proposed, the quality of the model was discussed and examples were presented to illustrate the effectiveness of proposed model.
Nanjing University of Aeronautics and Astronautics The Graduate School
College of Economics and Management
Research on Grey Incidence Model of Panel Data and its Applications
Nov, 2012
承诺书
本人声明所呈交的硕士学位论文是本人在导师指导下进 行的研究工作及取得的研究成果。除了文中特别加以标注和致 谢的地方外，论文中不包含其他人已经发表或撰写过的研究成 果，也不包含为获得南京航空航天大学或其他教育机构的学位 或证书而使用过的材料。
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