| 不完备信息系统的灰色关联决策方法 |
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| 引用本文： | 罗党,刘思峰.不完备信息系统的灰色关联决策方法[J].应用科学学报,2005,23(4):408-412. |
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| 作者姓名： | 罗党 刘思峰 |
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| 作者单位： | 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 |
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| 基金项目： | 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 |
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| 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.
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| 关 键 词： | 空值 区间灰数 灰色系统 灰色关联度 熵 决策 |
| 文章编号： | 0255-8297(2005)04-0408-05 |
| 收稿时间： | 2004-04-29 |
| 修稿时间： | 2004-06-01 |
Grey Incidence Decision-Making with Incomplete Information |
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| LUO Dang,LIU Si-feng.Grey Incidence Decision-Making with Incomplete Information[J].Journal of Applied Sciences,2005,23(4):408-412. |
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| Authors: | LUO Dang LIU Si-feng |
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| Institution: | 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 |
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| Abstract: | Based on the grey system theory and maximum entropy principle, the grey incidence decision-making 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. |
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| Keywords: | grey system interval grey number grey incidence degree entropy null value decision-making |
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