基于Rough Set理论的判断矩阵构造方法  

Constructed methods of judgment matrix based on rough set theory

作　　者：刘业政[1] 杨善林[1] 刘心报[1] 

机构地区：[1]合肥工业大学计算机网络系统研究所,合肥230009

出　　处：《系统工程学报》2002年第2期182-187,共6页Journal of Systems Engineering

基　　金：国家自然科学基金资助项目 ( 79970 0 5 8);安徽省自然科学基金资助项目 ( 990 436 45)

摘　　要：群决策支持系统 (GDSS)是利用信息技术 ,将多个决策者个人对该领域的理解及个人判断能力结合在一起 ,利用结构化决策分析技术 ,对半结构化和非结构化问题进行求解 .层次分析法是对定性问题作定量分析的一种简便而有效的方法 .提出了一种 GDSS环境下判断矩阵构造的新方法 :运用粗集理论 ,利用管理信息系统运行所积累的大量决策数据来分析各决策因素、决策者对决策目标的影响 ,并建立自学习系统 ,从而构造具有完全一致性的综合判断矩阵 .In the group decision support system(GDSS), personal judgement and comprehension of many decision-makers to a domain are combined by communication and computer techniques to solve semi-structure and non-structure problems using the decision analysis techniques of solving structure problems. Analytic Hierarchy Process(AHP) is a convenient and efficient method which analyzes quantificationally qualitative problems. Rough Set theory is often used to find the dependency between two attributes. From this, we will propose a new method in this paper based on rough set to construct the judgment matrices using the decision data in MIS. In this paper, the dependency of attribute is defined and the method of calculating dependency is also pointed out. Meanwhile, the construction of personal judgment matrices, decision-makers' relative importance and construction of combined judgment matrix are introduced. Furthermore, a constructed algorithm of judgment matrix, CAJM, is proposed. At last, this paper provides an application example to testify CAJM. The method is very efficient to re-decision especially.

关 键 词：群决策支持系统 群体层次分析法 判断矩阵 影响因素 ROUGHSET理论 粗集理论 计算机 

分 类 号：TP399[自动化与计算机技术—计算机应用技术] C934[自动化与计算机技术—计算机科学与技术]