摘要
对于传统的AHP求解模型,存在难以识别比较矩阵中的不一致判断的情况。通过构造两阶段线性规划模型,在第一阶段求出一致性求解范围,利用该一致性范围作为第二阶段的限制条件,借助于LINDO或者MATLAB软件求出了最优的优先权矢量,并举例说明应用这个模型的计算过程。最后,通过具体实例对模型的灵敏性进行了分析,给出了不一致性判断的识别方法。
It is difficult to locate inconsistencies among a decision maker＇ s judgments in the traditional AHP. This paper firstly presents a two-stage linear programming model. In the first stage a linear program that provides a consistency bound for a specified pal rwise comparison matrix is formulated. In the second stage the Consistency bound is used for a linear program whose solution is a priority vector by means of LINDO or MATLAB. Secondly, a numerical example is given to illustrate the solution of this model. Lastly, the sensitivity analysis is performed on inputs to the model in a numerical example and a technique is used to detect inconsistency.
出处
《微计算机信息》
北大核心
2006年第01X期263-265,共3页
Control & Automation
基金
河南省自然科学基金项目资助
项目编号为:0511013300
关键词
AHP
线性规划
灵敏性分析
层次分析法
Analytic hierarchy process
Linear programming
Sensitivity analysis
