基于Reny熵的灰色聚类决策方法研究  

Study on Grey Clustering Decision Methods that Based on Reny Entropy

作　　者：吴正朋[1] 张友萍[2] 李梅[1] 

机构地区：[1]中国传媒大学理学院应用数学系,北京100024 [2]南京航天航空大学经济与管理学院,南京210006

出　　处：《中国传媒大学学报（自然科学版）》2011年第3期63-66,58,共5页Journal of Communication University of China：Science and Technology

基　　金：国家重点基础研究专项经费(G19990328);国家广电总局科研基金(BG0103)资助项目

摘　　要：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。借鉴传统的shannon信息熵的思想,本文提出了基于Reny熵权确定权重的方法。构造了基于构造了基于Reny熵权的灰色定权聚类评估方法的算法。该方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。On account of the weight of traditional grey fixed weight clustering methords which is given in advance and does not have objective problems,the passage proves out a method of decicling weight that based on Reny entropy,owing to the thinking of traditional Shannon entropy of information,and construct methods that based on Reny entropy.The algorithem makes use of system state data,throughing calculating entropy to have decision weight,and makes example stheric syndrome research on the background of practical problem.The result proves that the method is easy in calculating and the weight decision is objective,and also complement and perfect grey clustering decision theory.

关 键 词：灰色定权聚类 权重Reny熵 决策 

分 类 号：O241.4[理学—计算数学]