双基点迭代赋权法在桥梁工程中的应用

指标权重的准确与否是解决评估问题的关键因素之一，但主、客观赋权法存在各自弊病.因此，提出一种基于双基点分析的群决策赋权法.通过层次分析采集专家主观权重，并以其均值作为初始正基点，将各权重序列相对于正基点标准化后构造最小欧式距离的优化问题，解得专家可信度并修正主观权重.将修正后的权重作为正基点多次迭代，直到结果收敛于最优权重.通过引入实例验证了权重的迭代削弱了偏差过大的权重对最终赋权结果的影响，将可信度与主观权重融合的过程兼顾了主、客观赋权法各自的优点，提高了赋权结果的科学性.

Application of Double Base Point Iterative Weighting Method in Bridge Engineering

Accuracy of the indicator weight is one of the keys to the assessment problem and the subjective and objective weighting methods have their own drawbacks. Thus， a group decision-making weighting method based on double base point analysis is proposed. The subjective weights of experts are collected by AHP. Taking the subjective weighted average as the initial positive and negative basis， the weight sequence is normalized relative to the positive base. The minimum Euclidean distance is constructed to solve the expert credibility and correct the subjective weights. The revised weight is repeated as a positive basis point until the result converges to the optimal weight. A case study verifies that the iteration of weight weakens the influence of over-ambiguous weight on the final weighting result. The process of merging credibility and subjective weight takes into account the respective advantages of the subjective and objective weighting methods， and it improves the scientificity of the empowerment results.