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应用科学学报 ›› 2005, Vol. 23 ›› Issue (4): 408-412.

• 论文 • 上一篇    下一篇

不完备信息系统的灰色关联决策方法

罗党1,2, 刘思峰1   

  1. 1. 南京航空航天大学经济管理学院, 江苏南京 210016;
    2. 华北水利水电学院, 河南郑州 450011
  • 收稿日期:2004-04-29 修回日期:2004-06-01 出版日期:2005-07-31 发布日期:2005-07-31
  • 作者简介:罗党(1959-),男,河南汝南人,副教授,博士,E-mail:iamld99@163.com;刘思峰(1955-),男,河南平舆人,教授,博导.
  • 基金资助:
    国家自然科学基金(70473037);河南省自然科学基金(2003120001);河南省科技攻关(0524490021)资助项目

Grey Incidence Decision-Making with Incomplete Information

LUO Dang1,2, LIU Si-feng1   

  1. 1. College of Economics and Management, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, China;
    2. North China Institute of Water Conservancy and Hydroelectric Power, Zhengzhou 450011, China
  • Received:2004-04-29 Revised:2004-06-01 Online:2005-07-31 Published:2005-07-31

PDF

97

被引次数

42

摘要： 基于灰色系统理论的思想和方法,运用分析技巧和熵极大化准则,对不完备信息系统下灰色关联决策方法进行了研究.首先提出了灰色区间关联系数公式,将经典灰色关联决策由清晰数的情况推广到了区间灰数的情况.其次研究了方案目标值有空缺的情况,给出了填补空缺的方法和理论依据,建立了基于满意度水平下的灰色区间关联算法.给出的算法使决策方法更具柔性,决策结果更加贴近于实际.

关键词: 空值, 区间灰数, 灰色系统, 灰色关联度, 熵, 决策

Abstract: Based on the grey system theory and maximum entropy principle, the grey incidence decisionmaking with incomplete information is discussed by using analytical technique.A incidence degree coefficient formula for interval grey numbers is constructed, which extends classical grey incidence decision-making to the case of interval grey numbers.The case of project objective value with nullity is then discussed and the theory and method are given to fulfill the null values.Based on the satisfactory degree, an algorithm is established for grey interval incidence decision-making.This algorithm makes the decision-makig method more flexible and the result more practical.An example is used to demonstrate the rationality, practicability and validity of the algorithm.

Key words: entropy, null value, decision-making, grey system, interval grey number, grey incidence degree

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