层次分析的区间估计

A Range Estimation on Priority Vectors in AHP

提出了利用数学规划和约束锥的方法 ,对层次分析法权重向量进行区间估计的理论和模型 .该模型把决策者的偏好信息视为一种约束 ,而非传统模型中的确定权重向量 .这个模型能更好地反映出决策者的偏好和决策过程中的不确定性 ,具有较好的鲁棒性 .算例结果表明 ,该模型是主观决策问题的有效的分析方法 .

In this paper it is shown that due to limitation on information,knowledge and ability in decision-making and discontinuity of comparison scale,there are inevitably some uncertainty and deviation in pairwise comparison matrices Analytic Hiorarohy Process(AHP). Applying linear programming and restraint cone,we present a new model to conduct range estimation on priority weight vectors in AHP in this paper. In this model,Decision-maker's subjective preference is reflected in term,of preference restraint rather than a specific weight priority vector as in conventional models. Comparing with cited methods,the model is more robust and provides more information on decision makers' preference and uncertainty. Numerical example shows the effectiveness and validity to apply this model in subjective decision-making.