层次分析法在多目标决策中的应用

由于定量型多目标决策的各指标值均为数量，因而按９度法建立各指标下的判断矩阵就很困难，限制了层次分析法在这一领域的运用，作者对此做了较深入的研究，认为层次分析法求解定量型多目标决策问题是可行的。为了便于构造判断阵，将决策中的所有指标分为正向指标、逆向指标和中心指标三类，同时给出了构造这三类指标的判断矩阵的方法，而且构造出来的判断矩阵自然满足一致性要求。给出的方法简单有效，并扩展了层次分析法的应用领域

Application of AHP on Multiple Criteria Decision Making

Because the values of all criteria are numeric for a quantitative multi attribute decision making (QMADM),it is difficult to construct the judgement matrix of each criterion by 9-scale method, which has limited the application of analytic hierarchy process (AHP) in this field. This paper has made a study of the problem in detail,and come to the conclusion that it is completely feasible for using AHP to solve QMADM. In order to establish the judgement matrix of each criterion,the paper classfies all criteria in QMADM into three classes:the positive correlation criteria,the negative correlation criteria and the centre correlation criteria by criterion nature. Meamwhile,the paper has also given the algorithm to structure the judgement matrix, and the judgement matrix thus established meets naturally the requirements of consistency. The proposed algorithm is simple and useful,and extends the area of AHP applications.