基于格序决策理论的软土深基坑支护方案评价

摘要

为解决软土深基坑评价系统中混合型评价指标权重不明确以及多目标之间存在的不可公度性和矛盾性导致难以对各备选方案进行科学评价的问题,本文采用PCA方法、组合赋权法和格序决策理论对软土深基坑支护方案进行评价.首先,运用PCA方法,简化软土地质深基坑方案评价体系;其次,运用OWA算子和信息熵分别确定主客观权重,并结合博弈集结模型求得组合权重;最后,引入格序决策理论,结合加权Hausdorff(豪斯多夫)距离,依据各备选方案与正、负加权理想解之间的相对贴近度大小进行方案排序.工程实例分析表明:评价体系全面、合理,评价方法简单可行,提高了决策的可靠性,对类似软土深基坑支护方案的评价决策具有一定的借鉴意义.%In order to solve the problem that the mixed evaluation index weight is not clear and incommensurability and contradiction between multi-objective lead to the optimum selection of alternative is unscientific, in this paper, the PCA method, the combination weighting method and the lattice order decision theory are used to evaluate the supporting scheme of deep foundation pit of soft soil.Firstly ,using PCA method, the author simplified soft soil deep foundation pit project quality evaluation system.Secondly, this paper utilized OWA operator and information entropy to determine the subjective and objective weights, and used the game theory to gain the comprehensive weight.Finally, the author introduces the lattice order theory and combines the weighted hausdorff distance to determine the optimal order of the relative closeness degree between positive and negative weighted ideal solution.The engineering case analysis shows that the evaluation system is comprehensive and reasonable, and the evaluation method is simple and feasible, improving the reliability of evaluation decision.It has a certain reference value for the optimization of the similar soft soil deep foundation pit support program.