The Variations of the Largest Eigenvalue While Regular Reciprocal Matrices under Disturbances

摘要：

While making decision by Analytic Hierarchy Process(AHP), the consistency of judgement matrix must be checked. If it cant pass the test, some entries of the judgement matrix should be adjusted,and the consistency should be tested again.It is difficult for us to gain the consistency ratio by the largest eigenvalue,but we can easily gain the trend of the consistency ratio by the variation of the largest eigenvalue. Therefore,the variations of the largest eigenvalue is important for the test of consistency. This paper gives the variations of the largest eigenvalue while consistent matrices and regular reciprocal matrices under disturbances.

关键词： AHP disturbance regular reciprocal matriz consistent matriz variation

作者: Qiming Feng

作者单位: Fundamental Teaching Department, Wuxi Vocational Institute of Commercial Technology, Wuxi 21415 3,China

会议类型: 国际会议

会议名称: The Third International Workshop on Applied Matriz Theory(第三届国际矩阵分析与应用会议)

会议地点: 杭州

会议语种:英文

页码: 415-417

在线出版日期: 2009-07-09（万方平台首次上网日期，不代表论文的发表时间）