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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 .
This paper proposes a theory and model of interval estimation based on analytic hierarchy process (AHP) using mathematical programming and constrained cone method, which considers the preference information of decision makers as a constraint rather than the weight vector in the traditional model The model can better reflect the decision-maker’s preferences and the uncertainty in the decision-making process, and has good robustness.Examples show that this model is an effective analytical method for subjective decision-making.