灰色熵权聚类决策方法研究_米传民.pdfVIP

28 12 Vol. 28 No. 12 2006 12 Systems Engineering and Electronics Dec. 2006 : 1001-506X(2006) 12- 182 -0 米传民, 刘思峰, 党耀国, 方志耕 ( 南京航空航天大学经济与管理学院, 江苏 南京210016) : 针对传统灰色定权聚类方法中权重是事先给定的, 不具 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 : 灰色定权聚类; 决策; 熵; 权重 : C9 4; N945 : A Study on grey entropy weight clustering decision-making M I Chuan-min, LIU S-i feng, DAN G Yao-guo, FANG Zh-i geng ( Coll. of Economics M anagement, N anj ing Univ . of A er onautics A stronautics , N anj ing 210016 , China Abstract: T he w eight is given before clustering process in traditional grey f ixed weight clustering dec-i sion, while it is not an objective method. A nd study on how to get the w eight of different indexes scientif ical- ly has not thought much . Based on the def initions of entropy, a method of getting weight is proposed, and then corresponding algorithm of grey fixed weight clustering decision-making is given. T his method uses the state data of system for calculating entropy and getting decision w eight. T aken a practical problem as a sam- ple, an empirical study is proposed. T he result s show that the method is superior to traditional one. It is easy to calculating, and its way to get w eight is objective. So it is an effective development to grey clustering decision- making theory. Key words: grey fixed weight clustering; decision-making; entropy; weight 0 [ 5 10] [ 1] , , , / 0 / 0 , ,