基于组合加权的灰色聚类方法研究

利用方差最大化原理,结合灰色理论提出了一种基于指标白化权函数值的方差最大化的灰色聚类指标客观权重确定方法,反映了指标信息的重要性由聚类指标的差异程度体现.综合主观权重确定的最小平方法,建立了基于线性组合赋权模型,并通过实例对模型进行求解,验证了该模型的客观性与有效性.

Grey Clustering Method Research Based on Combinational Weight

Using the variance maximization principle and combining the grey theory,a method based on maximizing variances of the index whitenization weighting function is proposed to determine objective index weighting of grey clustering index,which has reflected the index information’s important degree manifests by the difference of cluster indexes.Then this paper combines the least-square method determining subjective weights and establishes objective empowering model based on the linear combination weighting.Finally,the objectivity and validity of this model have been werified through the solution of an example to the model.