基于AHP的优化决策模型研究

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。

Study on Optimization Model of decision- making based on AHP

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 pairwise 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.