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一类灰色区间聚类决策方法
引用本文:罗党.一类灰色区间聚类决策方法[J].郑州大学学报(理学版),2007,39(1):119-124.
作者姓名:罗党
作者单位:华北水利水电学院管理与经济学院,郑州,450011
基金项目:国家自然科学基金;河南省科技攻关项目
摘    要:以灰色决策分析理论为基础,探讨了经典灰色聚类决策方法的优势和不足.提出了基于理想方案的灰色区间聚类方法及其相关概念,建立了灰色区间关联系数公式和灰色区间相对关联系数公式.运用分析技巧,构建了灰色区间聚类决策算法.灰色区间关联系数公式是经典灰色关联系数公式的推广,而灰色区间聚类决策是经典灰色聚类决策方法的拓展.实例说明了所提出的灰色聚类决策方法的合理性及其算法的有效性.

关 键 词:灰色系统理论  区间灰数  灰色关联系数  灰色聚类决策
文章编号:1671-6841(2007)01-0119-06
修稿时间:05 15 2006 12:00AM

The Method for Grey Interval Clustering Decision
LUO Dang.The Method for Grey Interval Clustering Decision[J].Journal of Zhengzhou University:Natural Science Edition,2007,39(1):119-124.
Authors:LUO Dang
Institution:School of Management and Economics, North China Institute of Water Conservancy and Hydroelectric Power, Zhengzhou 450011, China
Abstract:Based on grey decision analysis theory the advantage and disadvantage of classical grey clustering decisionare discussed.Firstly,introduce a method based onideal project for grey interval clustering decision together withsome relational concepts,which consist of incidence coefficient formula and relative incidence coefficient formula forinterval grey numbers.Secondly,a grey interval clustering decision arithmetic mentioned above is put forward.Then,it is pointed out that greyinterval incidence coefficient formulais ani mprovement of classic greyincidence co-efficient formula,while the method for greyinterval clustering decisionis generalization of method for classical greyclustering decision.Finally,an example is given to illustrate the rationality of grey interval clustering decision andthe validity of relational arithmetic.
Keywords:grey system theory  interval grey number  grey incidence coefficient  grey clustering decision
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