摘要
为科学合理地确定最佳桥梁加固方案,将组合赋权-TOPSIS 这一有效解决多目标决策问题
的模型引入桥梁加固方案优选,建立了能全面反映加固方案经济性、可靠性、技术性的评价指标
体系,利用层次分析法(AHP) 和熵值法综合确定指标权重,同时考虑了决策者的主观意向和客
观实际,在一定程度上避免了主观随意性。应用TOPSIS 法构造多目标决策的理想解与负理想
解,计算各方案的欧氏距离和相对贴近度,以靠近理想解和远离负理想解作为评价各方案优劣的
依据。最后,结合工程实例详细介绍了采用组合赋权-TOPSIS 解决桥梁加固方案优选的具体步
骤,计算结果表明选出的最优方案与实际采用的相同,验证了组合赋权-TOPSIS 法在桥梁加固方
案优选决策过程中的合理性和适用性。
Abstract
In order to scientifically determine the optimal scheme of bridge reinforcement, the combina⁃
tion weighting-TOPSIS model which was effective to solve the problem of multi-objective decision was
introduced into the scheme optimization of bridge reinforcement. Evaluation index system which could
reflect economy, reliability, technicality of the reinforcement scheme was established, the analytic hierar⁃
chy process (AHP) and entropy value method were used to determine index weight which considered the
decision-makers′ subjective intention and objective reality at the same time, which avoided the subjec⁃
tive randomness partly. TOPSIS method was applied to construct ideal solution which negative ideal solu⁃
tion of multi-objective decision. Euclidean distance and relative closeness degree were calculated to
choose the answer which was closer to the ideal solution and away from the negative ideal solution as the
basis for evaluating the merits and inferiorities of the schemes. In the end, the concrete steps of using
combination weighting-TOPSIS model to solve the optimization of the bridge reinforcement scheme were
introduced in detail with the combination of the engineering examples. The results show that the optimal
scheme is same to the actual one, which verifies that the combination weighting -TOPSIS method is rational and applicative in decision-making process of the bridge reinforcement scheme optimization.
关键词
桥梁加固 /
方案优选 /
组合赋权 /
层次分析法 /
熵值法
Key words
bridge reinforcement /
scheme optimization /
combination weighting /
AHP /
entropy method
赵丹.
基于组合赋权-TOPSIS模型的桥梁加固方案优选[J]. 交通运输研究. 2015, 1(4): 95-100
ZHAO Dan.
Scheme Optimization of Bridge Reinforcement Based on CombinationWeighting-TOPSIS Model[J]. Transport Research. 2015, 1(4): 95-100
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