一种灰色关联度的改进方法

在回顾和总结已有关联度方法的基础上,提出了一种同时考察评价对象与理想值之间相似性和相近性的综合关联度,包括改进型斜率关联度和近似面积关联度,分别给出了两种关联系数和关联度的计算方法,并详细论述了二者几何关系和量值关系,便于决策者根据不同偏好选取不同权重;该综合关联度满足一致性和规范性要求,经过均值比变换后也可满足无量纲化保序性;最后,通过典型算例验证了方法的有效性。

An Improvement Method of Grey Incidence Degree Mode

On the basis of analyzing and summarizing the method of grey incidence degree mode,an integrative grey incidence degree mode is proposed,which includes the improved grey slope incidence degree and the modified grey area incidence degree.It measure about the similarity of developing trend and the closing of the amount between two series at the same time.The relations between geometry and quantity is illustrated to help decision maker to confirm the value according to preference.The integrative grey incidence degree mode satisfied to the uniform and standard properties,at last,this method is illustrated by an example, and a conclusion about how to adjust weights is discussed.