灰色熵权聚类决策方法研究

针对传统灰色定权聚类方法中权重是事先给定的,不具有客观性的问题,借鉴信息熵的思想,提出了基于熵权确定权重的方法,构造了基于熵权的灰色定权聚类评估方法的算法。该算法利用系统状态数据为依据通过计算熵来得到决策权重。以实际问题为背景进行了算例实证研究。结果表明该方法计算简单,权重确定客观,对灰色聚类决策理论进行了补充和完善。

Study on grey entropy weight clustering decision-making

The weight is given before clustering process in traditional grey fixed weight clustering decision,while it is not an objective method.And study on how to get the weight of different indexes scientifically has not thought much.Based on the definitions of entropy,a method of getting weight is proposed,and then corresponding algorithm of grey fixed weight clustering decision-making is given.This method uses the state data of system for calculating entropy and getting decision weight.Taken a practical problem as a sample,an empirical study is proposed.The results show that the method is superior to traditional one.It is easy to calculating,and its way to get weight is objective.So it is an effective development to grey clustering decisionmaking theory.