基于组合权重的基坑支护方案模糊物元优选

Application of Fuzzy Matter-element Model Based on Coefficients of Entropy in Scheme Optimization of Supporting Projects of Deep Foundation Pit

针对深基坑支护方案优选决策多属性、确定性与不确定性共存的特点,从安全性、经济性和可行性3个角度出发,综合考虑影响支护方案的定量、非定量指标,选取技术先进性、类似方案成功率、稳定性、成本、工期、地质情况、环境条件和对环境的影响程度8个指标,建立了基坑支护方案的模型.在评价过程中,引用信息熵所反映数据本身的效用值来计算指标的熵权和层次分析法求得的专家权重来求得综合权重,用方案的各项评价指标及其相应的模糊量值构造复合模糊物元,通过计算与标准模糊物元之间的欧式贴近度来实现方案的排序与择优.以长沙某基坑支护方案为例证明了该方法应用于支护方案优选的有效性和可行性,研究表明该模型可有效地避免权重分配困难的问题,通过评价样本与评价标准之间的远近关系,得出待选方案的欧式贴近度分别为96.7%、84.3%和88.9%,从而选取方案一,进而为基坑支护方案综合评价提供了一种新思路.

Due to the condition of the multi-criteria and coexistence of certainty and various uncertainties involved in the problem to optimize supporting projects of deep foundation pit,based on the fuzzy matter-element theory and the concept of information entropy,an optimization model using multi-indexes to optimize supporting projects of deep pit was established.Considering the quantitative and non-quantitative factors of supporting projects of deep pit,eight major factors from the safety,economic and technical aspects were taken into account in the analysis,such as the technical advantage,success rate of similar schemes,stability,cast,construction period,geological conditions,environmental condition and influence degree of environment.During this process,the synthetic evaluation criterion weight was deterimined by combining the entropy weight and the decision—maker’s subjective evaluation criterion weight.The optimal supporting projects of deep foundation pit scheme was determined through calculating Euclid approach degreee（EAD） between the compound fuzzy matter—element and the standard fuzzy matter—element.The case of Huangshaping Lead-zinc Mine study indicates that this new procedure is effective and feasible for selection of alternatives of supporting projects of deep foundation pit treatment.It shows that this method can be abtained to solve the problem of weight allocation and it makes the weight allocation mole reasonable.The Hamming approach degree（EAD） of the supporting projects of deep foundation pit in a project of Changsha are 96.7%,84.3%and 88.9% respectively according to this model,and the first method becomes the best.So it’s a new approach to optimization of supporting projects of deep foundation pit.