基于互反判断矩阵的专家群体判断一致性分析  

Method for consensus analysis in group experts' judgments based on multiplicative judgment matrices

作　　者：陈侠[1] 樊治平[1] 刘香芹[2] 陈岩[1] 

机构地区：[1]东北大学工商管理学院,辽宁沈阳110004 [2]沈阳航空工业学院,辽宁沈阳110034

出　　处：《系统工程与电子技术》2007年第7期1078-1081,共4页Systems Engineering and Electronics

基　　金：国家自然科学基金(70371050);教育部高等学校优秀青年教师教学科研奖励计划(教人司[2002]123);教育部高等学校博士学科点专项科研基金(20040145018)资助课题

摘　　要：针对群决策中基于互反判断矩阵形式偏好信息的专家群体判断一致性问题,提出了一种分析方法。首先,给出了有关互反判断矩阵及其相容性和一致性的若干定义;然后,通过定义各个方案的一致性指标及专家群体判断一致性指标,给出了基于互反判断矩阵的专家群体判断一致性的判别方法及专家群体判断不一致的调整方法。最后,通过算例说明了所提的分析方法。An analytic method is proposed to solve the problem of group experts＇ judgment consistency based on the preference information about multiplicative judgment matrices. First, several concepts of the multiplicative judgment matrix and its compatibility and consistency are introduced. Then, a judgment approach to the consensus of group experts＇ judgment and the improving approach to the non-consensus of group experts＇ judgment are also provided based on definitions of the consensus level of the preference of each alternative and the consensus index of group experts＇ judgment. Finally, a numerical example is given to illustrate the use of the proposed method.

关 键 词：群决策 互反判断矩阵 一致性 相容性 

分 类 号：N945.25[自然科学总论—系统科学] C945[经济管理]