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中文摘要：
针对传统层次分析法（AHP）的缺陷,提出基于群决策的改进AHP方法,应用到桥梁状态评估中。首先,引入指数区间数标度方法,建立元素为指数区间数的判断矩阵,并建立一套求解指数区间数判断矩阵指标权重的优化算法;然后,引入基于加权集值统计的专家群决策理论,讨论基于判断偏好信息的专家权重计算方法以及判断矩阵的集结,得到专家群体决策矩阵;最后,构建某钢箱梁斜拉桥的综合评估AHP模型,采用本文方法进行指标权重计算,论证方法的可行性与实用性。本文方法弱化了单一专家评判过程中的主观不确定性,为桥梁的管理养护提供了更加科学可信的决策依据。
英文摘要：
An improved analytic hierarchy process （AHP） method based on the group decision theory was applied to bridge condition assessment for the defects in the traditional AHP. First, exponential-interval scale was introduced to establish judgment matrix whose elements were exponential-interval numbers, and an optimization algorithm of weights computing of the exponential-interval number judgment matrix was given. Then group decision theory on the basis of expert-weighting set-valued statistics was employed. The approaches of confirming expert weights concerning the judgment preference information and the aggregation of the judgment matrix were discussed, to obtain the expert-group decision matrix. Finally, a comprehensive evaluation AHP model for a certain steel box girder cable-stayed bridge was established, and the index weights were calculated, which demonstrates the feasibility and practicability of this method. The method weakens the subjective uncertainty in single-expert judgment, providing a more scientific and reliable decision-making basis for bridge maintenance and management.
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