灰色关联分析及其应用的研究（工商管理）.pdf

南京航空航天大学
硕士学位论文
灰色关联分析及其应用的研究
姓名:孙玉刚
申请学位级别:硕士
专业:管理科学与工程
指导教师:党耀国
20071201
南京航空航天大学硕士学位论文
摘要
灰色关联分析不仅是灰色系统理论的重要组成部分也是灰色系统分析预
测和决策的基石随着灰色系统理论在各个方面的推广应用对灰色关联分析
的关注也越来越多
本文对灰色关联分析相关理论及其应用进行了研究和总结就灰色关联分析
模型存在的一些不足进行了探讨针对灰色T型关联度模型和灰色斜率关联度模
型进行了研究和改进以期更好地将灰色关联度模型应用于实际问题的分析中
本文的研究工作主要有以下几个方面
首先系统地总结了国内外对灰色关联分析的理论与应用研究成果以及本文
的主要研究内容
其次对灰色关联度模型及其存在的问题进行了系统地阐述与总结详细地
分析了其中的原因给出了一般结论并对数据变换技术进行了研究
再次从模型自身理论上存在的不足和在实际应用中受到的一些限制入手
根据灰色关联度的特性对灰色 T 型关联度模型和灰色斜率关联度模型进行了改
进使其克服现有模型存在的一些缺陷比改进前的关联度模型更具有优越性
最后将改进的关联度模型应用于江苏省科技投入与经济增长的关联分析
验证了所建模型的有效性与实用性

关键词灰色系统灰色关联分析模型改进科技投入经济增长
i
灰色关联分析及其应用的研究
ABSTRACT
Grey incidence analysis is not only the ponent of grey system theory,
but also the cornerstone of analysis, modeling, forecasting and decision-making of
grey system. With grey system theory is promoted and applied in each aspect, more
and more people will pay attention to grey incidence analysis.
In this dissertation, grey incidence analysis theory and its application are studied
and summarized, some shortages of the existing grey incidence analysis models are
discussed, grey T's correlation degree and degree of grey slope incidence are
improved and studied in order that the grey incidence models are well applied to
analyze the practical problem. In conclusion, the work of this dissertation is mainly
composed of the following several aspects:
Firstly, the domestic and overseas research achievements of grey incidence analysis
theory and its application are systematically summarized as well as the main research
content of this dissertation.
Secondly, grey incidence degree and their existing problems are systematically
expounded and summarized, the reasons are analyzed in detail and the general
conclusions are given, and the data transformation technology is studied.
Thirdly, according to the theoretical shortages of the models themselves and the
restriction in application, grey T's correlation degree an