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均衡接近度灰关联分析方法

A Grey Correlational Analysis by the Method of Degree of Balance and Approach

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【作者】 张岐山邓聚龙邵勇

【Author】 Zhang QishanDept.of Autom,Contr.& Eng.,H.U.S.T.,Wuhan 430074,China.; Deng Julong; Shao Yong

【机构】 华中理工大学自动控制工程系

【摘要】 在实践中经常会碰到有均衡接近性要求的问题,而传统的灰关联分析方法可能产生局部点关联倾向,在引入灰熵概念的基础上,定义了均衡度的概念,把原灰关联度与均衡度相结合给出了实现均衡接近性的灰关联分析方法。

【Abstract】 It is pointcd out that the tendency of the local point correlation may occur in the conven-tional methods of grey correlation analysis. By introducing the concept of grey entropy de-fined in finite information space, some theorems are developed and the relation between thegrey entropy and the sequential balancing is analyzed.The larger the grey entropy is, thebetter the balance of the series will be. The degree of balance is defined as the ratio of the ac-tual entropy to its maximum value and is the measure of the sequential balancing, The largerthe degree of balance is,the better the balance of the sequence will be. The product of thedegree of balance with the grey correlational level is defined as the degree of approach of thebalance and the grey correlational analysis in connection with it is given. With this method,not only can the local point correlational tendency be eliminated, but also abundant informa-tion provided by point correlational coefficients can be fully utilized.

  • 【文献出处】 华中理工大学学报 ,JOURNAL OF HUAZHONG UNIVERSITY OF SCIENCE AND TECHNOLOGY , 编辑部邮箱 ,1995年11期
  • 【分类号】N945.1
  • 【被引频次】43
  • 【下载频次】546
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