基于AHP-博弈赋权与VIKOR理论的深基坑支护方案决策方法

Decision-making of Deep Foundation Pit Support Scheme Based on AHP-Game Weighting Theory and VIKOR Theory

针对深基坑工程支护方案决策过程中的模糊不确定问题,提出了一种基于AHP-博弈赋权VIKOR理论的深基坑支护方案决策方法。利用层次分析法(AHP)分析深基坑支护方案决策体系中各评价指标的相对重要性程度,以此确定主观权重;采用改进熵权理论计算评价指标的信息熵和差异系数以确定评价指标的客观权重,并通过线性组合系数以获得最优组合权重;并利用VIKOR理论求出各方案的总体效用值和个别遗憾值,以折衷的方式获得综合效益最大的深基坑工程支护方案。经某深基坑工程实例论证表明:此方法操作简单,计算简便,实用性强,为深基坑工程支护方案决策提供了可靠依据。

Aiming at the fuzzy and uncertain problems in the decision-making process of the deep foundation pit support scheme,a deep foundation pit support scheme decision-making method based on the AHP-game weighting and VIKOR theory is proposed.The Analytic Hierarchy Process(AHP)is used to analyze the relative importance of each evaluation index that determines the subjective weight in the decision-making system of the deep foundation pit support scheme.The improved entropy weight theory is used to calculate the information entropy and the difference coefficient of the evaluation index that determines the objective weight of the evaluation index.And the linear combination coefficient is used to obtain the optimal combination weight.Finally,the VIKOR theory is used to determine the overall utility value and individual regret value of each scheme,and the deep foundation pit support scheme with the largest comprehensive benefit is obtained in a compromise way.The demonstration of a deep foundation pit project shows that the method is easy to be operated and calculated,and has strong practicability.This provides a reliable basis for the decision-making of the deep foundation pit support schemes.