摘要
研究了区间数互补判断矩阵的一致性;定义了区间数互补判断矩阵的完全一致性、强一致性、一致性和满意一致性的概念;讨论了定义之间的关系;给出了强一致性判别方法以及3种一致性和满意一致性的判别方法.最后用算例验证了所提出方法的有效性和适用性.
The consistency problem of the interval complementary comparison matrix is studied in this paper. Some conceptions concerning the consistency of interval complementary comparison matrix including perfect consistency, strong consistency, consistency and satisfactory consistency are defined, and the relations between these definitions are discussed. A method for testing strong consistency, three methods for testing consistency and a method for testing satisfactory consistency are proposed. Finally, a numerical example illustrates the effectiveness and practicality of the proposed methods.
出处
《控制与决策》
EI
CSCD
北大核心
2009年第5期723-728,733,共7页
Control and Decision
基金
国家自然科学基金项目(70571087)
南京师范大学科研启动基金项目(2008101XGQ0109)
关键词
不确定层次分析法
区间数
互补判断矩阵
一致性
Uncertain type of the analytical hierarchy process
Interval numbers
Complementary matrix
Consistency