中文摘要：

针对基坑支护方案影响因素的信息不完全性、模糊性以及影响因素与评价指标之间灰色关联性特点,综合应用灰色系统理论和多目标决策理论,以及无限方案多目标决策方法,确定有限方案多目标决策权系数的客观赋权法,建立基坑支护方案的灰色多目标决策优选模型。结合工程实例,对3种不同基坑支护方案进行优选。研究结果表明：拱型水泥土加刚架式钻孔桩空间组合支护方案为最优方案,实际工程采纳及实施效果良好;该决策模型科学、实用,可避免指标权重确定的主观随意性,可为类似工程提供参考。

英文摘要：

According to the characteristics of influencing factor of the support schemes for foundation pit, such as information incompleteness, fuzziness and their grey correlation, grey system theory, multi-objective decision-making theory and objective weighting method which principle is to use the method of unlimited schemes multi-index, were used to determine the weighting coefficient of limited schemes multi-index. Then, the grey multi-objective decision-making optimization model was established. Through the practical engineering, three different supporting schemes were chosen to optimize. The results show that the combination supporting scheme of arch cement-soil and steel bored pile is the best, and the application of project proves it is reasonable. The model is scientifical and effective, and the index weight is accurate and reliable without subjectivities. The model can provide reference for similar project.