自动化学报2005,Vol.31Issue(3):434-439,6.
区间数判矩阵权重求解的集成模型研究
Integration of Weights Model of Interval Numbers Comparison Matrix
摘要
Abstract
Consistency and the weights estimation model of the interval number comparison matrix (INCM) in the analytical hierarchy process is studied under uncertainty decision-making case. Based on the weights feasible region, the local consistency definition and the local satisfactory consistency definition are given. Then, a computational model set up to test whether the INCM has the local satisfactory consistency or not. Moreover, the consistency degree based on the random crisp comparison matrix is defined as an effective index to test the consistency. Next, the upper range model, the lower range model, and the possible value model are put forward which can solve the problem that some existing approaches do not consider the consistency and its effect on the weights. According to the property of these models, a genetic algorithm is developed.关键词
Analytical hierarchy process/interval number comparison matrix/weights feasibleregion/integration weights model/genetic algorithmKey words
Analytical hierarchy process/interval number comparison matrix/weights feasibleregion/integration weights model/genetic algorithm分类
信息技术与安全科学引用本文复制引用
朱建军,刘士新,王梦光..区间数判矩阵权重求解的集成模型研究[J].自动化学报,2005,31(3):434-439,6.基金项目
Supported by the "863" Program of Computer Integrated Manufacturing System (2002AA412010), DoctorStartup Fund of Liaoning Province (20021011), the Natural Science Foundation of Shenyang (1022036-1-04) (2002AA412010)