基于组合加权的余弦-灰色关联分析模型及其应用

Yin Pei, L. Yian
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引用次数: 1

摘要

针对传统灰色关联模型评价方法权重单一、关联度仅与距离相关的问题,在现有改进方法的基础上,提出了一种基于加权-改进灰色关联相结合的评价方法。为了提高灰度关联的准确性和可信度,本文提出的算法结合了前人研究的改进方法动态确定分辨系数,采用改进的熵权法和变异系数法进行客观加权组合,将传统的灰度关联分析与余弦分析相结合。排序法,综合运用多种改进方法对灰色关联法进行改进。以无锡市GDP与产业结构的相关性分析为例,验证了改进模型的可行性和有效性。
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Cosine-grey Correlation Analysis Model Based on Combination Weighting and Its Application
Aiming at the problem that the traditional gray correlation model evaluation method has a single weight and the correlation degree is only related to distance, based on the existing improved methods, an evaluation method based on combined weighting-improved gray correlation is proposed. In order to increase the accuracy and credibility of the gray correlation, the proposed algorithm combines the improved methods of previous studies to dynamically determine the resolution coefficient, uses the improved entropy weight method and the coefficient of variation method to objectively weight the combination, combines traditional gray correlation analysis and cosine. Sorting method, comprehensively using multiple improvement methods to improve the gray correlation method. A case study of the correlation analysis of Wuxi's GDP and industry structure confirms that improving the model is feasible and effective.
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