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灰色关联分析及其应用研究.docx


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灰色关联分析及其应用研究.docx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
摘要
、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。
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洋细地 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
ABSTRACT
Grey incidence analysis is not only the important component 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 summarizedfas 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 and degree of grey slope incidence are improved and s

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  • 时间2021-06-12