基于广义联系度集成的基坑支护方案集对分析模型

The Set Pair Analysis Model of Foundation Pit Support Schemes Based on Integrally Generalized Connection Number

基坑支护方案比选决策是一个不确定性的多属性决策问题。基于集对分析理论,探讨了待选基坑支护方案与最佳方案、最差方案的联系度集成的决策模型,即应用待选方案集实测的评价指标值确定最佳方案与最差方案指标值,采用集对同反表达式描述待选方案与最佳方案、最差方案的联系度,并构建基于相对隶属度集成待选方案与最佳方案、最差方案距离的决策模型,以评定待选方案的合理性,以克服传统决策模型只考虑隶属最佳方案程度的缺陷。应用实例表明,该方法是可行的,且取得较好效果。

The optimization of foundation pit support schemes is an uncertainty problem of multi-attribute decision-making.Based on set pair analysis theory,the decision-making model using the integrated connection number between the scheme and the best scheme,as well as the scheme and the worst scheme is discussed.Namely,the best plan and the worst plan are firstly constructed based on the maximum and minimum values of each measured evaluation index.Then the connection relationship between the best plan and the worst plan is described by means of identical-contrary analysis.Finally,to overcome the defect of the traditional model under consideration only the relative membership degree to the best level,a generated relative membership degree model using the distance of the evaluation scheme to the best and worst plan is investigated to evaluate rationality.The results from practical example show that the proposed model used to select the foundation pit support schemes is feasible,and the result is good.