模糊层次分析方法在石拱桥加固方案优选中的应用研究

在构建评价指标体系的基础上，从构造区间数表达的比较判断矩阵、求解区间数权向量、各层元素对总目标的合成权重、备选方案排序等几方面，阐述了模糊层次分析原理及方法。结合具体的实际加固工程，针对几种实用加固技术，详细介绍了如何运用模糊层次分析方法对石拱桥加固方案进行优选，如何通过数学原理对多种桥梁加固方案进行优选，可望对桥梁加固系统化、规范化、理论化的发展起到一定的促进作用。

Application of FAHP for Stone Arch Bridge Strengthening Scheme Optimization

Based on structuring the appraisal target system,the principles and methods of the Fuzzy Analytic Hierarchy Process(FAHP) was described in aspects of structuring the comparative judgment matrix described by interval numbers,solving both the interval weight vector and the comprehensive weights of the general target determined by various layers,and selecting the strengthening proposal out of the various schemes.By an actual project of strengthening stone arch bridge,application of the principles and methods of the FAHP to determine the optimal proposals was introduced.From the paper,it is visual to know how to select the optimal proposal from the various schemes by mathematical principle.It will promote the development of the systemization,standardization and theorization of bridge strengthening.