基于不确定AHP的桥梁加固方案模糊综合评价

为了使桥梁加固方案的模糊评价更为可靠，针对已有评价方法中评价指标模糊处理过于简化以及层次分析法（AHP）确定指标权重主观性强的问题，确立了新的评价指标体系、评价等级与评价指标分级标准；根据模糊数学理论，构建了指标的隶属函数和桥梁加固方案二级模糊综合评价模型；运用群组决策思想，建立了基于专家可信度的不确定型AHP法来计算指标的权重区间，并引入相对优势度分析法将指标的权重区间转换为数字权重，进而对指标进行赋权；结合模糊综合评判法，建立出基于不确定型AHP法的模糊综合评价模型，并运用于工程实例的计算与分析.研究结果表明:方法适用于桥梁加固方案的模糊评价，与工程实际相吻合，具有较高的可行性与合理性. 

Fuzzy Comprehensive Evaluation of Bridge Reinforcement Scheme Based on Uncertain AHP

To enable the fuzzy evaluation of the bridge reinforcement scheme to be more reliable and solve the problem that the fuzzy process of the evaluation index was too simplistic and the analytic hierarchy process（AHP）had a strong subjectivity when determining the weight of the evaluation index in the existing evaluation methods, a new evaluation index system, evaluation grade, and evaluation index classification standard were established. According to the fuzzy mathematics theory, the membership function of the index and the two-level fuzzy comprehensive evaluation model of the bridge reinforcement scheme were constructed. Based on the group decision making principle, an uncertain AHP method based on expert credibility was established to calculate the weight interval of the evaluation index. The relative weight analysis method was used to convert the weight range of the index into digital weight, and then the evaluation index was weighted. Further, combined with the fuzzy comprehensive evaluation method, a fuzzy comprehensive evaluation model based on the uncertain AHP method was established and applied to the calculation and analysis of engineering examples. The results show that the method is suitable for the fuzzy evaluation of a bridge reinforcement scheme, which is consistent with engineering practice and has high feasibility and rationality.