优化灰色关联分析模型

D. Luo, Bao-Lei Wei, Yuwen Li
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引用次数: 2

摘要

在灰色关联模型的绝对关联度、相对关联度、综合关联度、相似关联度和紧密关联度的基础上,分析了某些情况下定量结果与定性结果矛盾的原因。针对这一问题,深入分析了灰色关联模型的误差来源,提出了一种分段测量序列曲线关系紧密度的新方法。给出了优化模型的算法,性能较好。扩展了灰色关联分析的应用范围,使其具有理论和实际应用意义。通过数值算例验证了所建优化模型的合理性和有效性,各种灰色关联度的优化程度保持一致。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
The optimization grey incidence analysis models
On the basis of the absolute degree, relative degree, synthetic degree, similitude degree and close degree of grey incidence models, we analyzed the reason for the contradiction between the quantitative and the qualitative results in some cases. Aimed at this reason, the error sources of grey incidence models are deeply analyzed and a novel method that measures the closeness of a relationship between sequence curves sectionally is proposed. The algorithms of optimization models are given, and the properties are better. The application scope of grey incidence analysis is extended, making it meaningful to theory and practical application. A numerical example is used to demonstrate the rationality and validity of the optimization models, and the several kinds of optimization degrees of grey incidence maintain consistency.
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