基于综合权重可拓理论的结构损伤评估方法研究

Research on structural damage assessment based on integrated weight extension theory

为了使可拓评价理论评价指标权重系数的取值更加合理,引入了指标重要性相关法(CRITIC法)来计算各指标的客观权重,并利用层次分析法(AHP法)计算各指标的主观权重,通过博弈论方法对主、客观权重进行集成,建立了一种更加合理的综合权重。文末以4个框架结构为例,采用本文方法及其他几种方法对其进行了地震损伤评估对比分析,结果表明综合权重克服了可拓评价理论中单一权重的不足,具有较大的优越性。

In order to get the more reasonable weights of evaluation indexes of extension theory, the criteria impor- tance through inter-criteria correlation （CRITIC） method is introduced to calculate the objective weights while the analytic hierarchy process （AHP） method is used to calculate the subjective weights. The integrated weights of in- dexes for extension assessment theory are established by combining the subjective and objective weights via game theory. Finally, taking four frame structures as example, the comparative analysis of seismic damage assessment is carried out by t^e proposed method and several other methods. The results indicate that the integrated weight of ex- tension evaluation theory overcomes the limitation of single weight, which has more advantages.