混合型指标基坑支护方案优选的改进TOPSIS法  

Improved TOPSIS decision method for optimizing mixed indexes supporting schemes for foundation pit

作　　者：郑绍羽[1] 李素芹[1] 

机构地区：[1]武汉大学土木建筑工程学院工程管理系,副教授湖北武汉430072

出　　处：《中国安全科学学报》2014年第5期98-103,共6页China Safety Science Journal

摘　　要：由于基坑支护方案属性指标类型的多样性,优选决策矩阵中会出现精确数与区间数共存的情况,为解决这类混合型指标基坑支护方案决策问题,建立基于博弈论组合赋权和改进的逼近理想解技术(TOPSIS)的决策模型。首先,采用信息熵和层次分析法(AHP)分别确定客观权重和主观权重;然后引入博弈论集结理论将主客观权重科学化组合,得到综合权重。最后,采用改进的TOPSIS法进行基坑支护方案优选,并结合工程实例进行验证。结果表明:运用博弈论组合赋权和改进的TOPSIS法选出方案4是最佳支护方案,与工程实际优选结果一致。In order to solve the mixed index decision making problem in the optimization of supporting schemes for foundation pit,which results from the diversity of evaluation indexes,a decision making model was built,which was based on both combination weighting and improved TOPSIS. In the first,the information entropy method and AHP method were used to determine objective weights and subjective weights.Then the aggregation theory based on game theory was introduced to make a scientific portfolio,which considers subjective weights and objective weights. So a comprehensive weight was obtained. Finally,an improved TOPSIS decision method was used to make the optimization of supporting schemes for a foundation pit,and a certain actual engineering program was used to verify this model. The result shows that the fourth scheme is selected as best one by using the improved TOPSIS decision method and game theory. The optimization result conforms to the actual engineering.

关 键 词：博弈论组合赋权 混合型指标 改进的逼近理想解技术(TOPSIS) 基坑支护 方案优选 

分 类 号：TU753[建筑科学—建筑技术科学]