一类改进的灰色绝对关联度模型的性质及其应用

The Properties and Applications of an Improved Grey Absolute Relational Mode

摘要: 文章研究灰色系统中一类改进的灰色绝对关联度模型的性质及其应用。根据广义灰色关联分析理论，采用构造最大值点零化像的方法提出改进的灰色绝对关联度模型的方法。改进的灰色绝对关联度模型具有差序列符号的确定性、规范性、偶对称性、接近性等性质。初步的实例验证表明，改进的灰色关联度模型能真实地反映序列曲线的关联程度，所得关联分析结果较为客观可靠，且易于在计算机上实现。

Abstract: This paper studies the properties and applications of an improved grey absolute relational degree model for grey relational analysis in grey systems. Based on the theory of generalized grey correla-tion analysis, an improved grey absolute correlation degree model is proposed by constructing the zero image of the maximum point. The improved grey absolute relational degree model has the properties of difference sequence symbols such as determinacy, normality, even symmetry and proximity. The preliminary example shows that the improved grey relational degree model can truly reflect the correlation degree of the sequence curve, and the obtained correlation analysis re-sults are more objective and reliable, and are easy to be realized on the computer.