基于指数标度的层次分析法在桥梁评定中的应用

Application of Exponential Scale of AHP in Bridge Evaluation

针对层次分析法中1-9标度存在的问题,根据心理学上韦伯-费希纳定律,引入指数标度及对应的随机一致性检验指标,应用到桥梁技术状况评定中。以钢管混凝土拱桥为例,依据相同的重要性关系评语,分别以指数标度和1-9标度构造判断矩阵,计算出各个构件权重系数。计算结果表明:指数标度能较为准确地反映出钢管混凝土拱桥构件之间的重要性关系。

For problems of 1-9 scale in the Analytical Hierarchy Process（AHP）,exponential scale and corresponding indicator of random consistency test were employed to evaluate bridge technology condition based on the Weber-Fechner＇s Law.Taking concrete filled steel tubular（CFST） arch bridge as an example,weight of each component could be calculated after judging matrix of exponential scale and 1-9 scale based on the same importance to relations.Calculation results indicated that exponential scale could accurately reflect the relationship among components of CFST arch bridge.