摘要
将传统的层次分析法由“点”标度扩展到区间标度,得到区间标度层次分析法.基于区间判断矩阵的权向量的可行域,对其进行一致性检验.并讨论了区间向量的标准化问题,建立了求解区间判断矩阵的区间权向量的线性规划模型.通过两个线性规划模型,自下而上计算各方案相对于各指标的组合区间权重,并给出了区间层次总排序的算法.算例验证了方法的有效性.
The interval scales analytic hierarchy process （AHP） is obtained by extending exact scales of the original AHP to interval scales. The feasible region of weight vectors of the interval judgment matrix is defined. By this means consistency check of interval judgment matrix is made. Normalization of interval vectors is studied, and linear programming model is built by which the interval weight vector is obtained. By two linear programming models, from bottom to top, the combined interval weight of every alternative relative to each criteria is gained. The algorithm of synthesized rank is given. An example is given which illustrates the full steps of interval scales analytic hierarchy process based on linear programming and shows the efficiency of the method.
出处
《哈尔滨工业大学学报》
EI
CAS
CSCD
北大核心
2007年第2期334-336,共3页
Journal of Harbin Institute of Technology
基金
天津大学管理学院青年教师科研基金资助项目
关键词
线性规划
区间判断矩阵
区间标度
层次分析法
linear programming
interval judgment matrix
interval scales
the analytic hierarchy process
