岩土工程研究

基于联系累积前景理论的基坑支护方案决策

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  • 合肥工业大学 土木与水利工程学院,安徽 合肥 230009
汪明武,男,1972年生,博士,教授,博士生导师,主要从事土工抗震、非饱和土、智能岩土工程及不确定性分析等方面的研究与教学工作。

收稿日期: 2016-01-01

  网络出版日期: 2018-06-09

基金资助

国家自然科学基金(No.41172274,No.71273081)

Decision-making model of supporting schemes of foundation pit based on cumulative prospect theory and connection number

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  • School of Civil and Hydraulic Engineering, Hefei University of Technology, Hefei, Anhui 230009, China

Received date: 2016-01-01

  Online published: 2018-06-09

Supported by

This work was supported by the National Natural Science Foundation of China (41172274, 71273081)

摘要

基坑支护方案决策受决策者的风险态度和指标的随机模糊性影响与控制,是一个复杂的不确定性决策难题。应用联系数与累积前景理论的耦合方法,探讨了基坑支护方案的联系累积前景理论优选新模型,即首先基于原始规范化的决策信息确定正、负理想方案,再基于联系数理论定量统一描述待选方案与正、负理想方案间的确定和不确定关系,以构建基于联系前景效用价值函数的综合决策模型,并求解最优的权向量,确定合理的基坑支护方案。实例应用和与其他方法结果对比表明,文中方法应用于基坑支护方案优选是有效可行的,且能定量表达待选方案与理想方案间的联系和转化态势,避免了基坑支护方案决策过程的非理性。

本文引用格式

汪明武,赵奎元,朱其坤,蒋 辉,金菊良 . 基于联系累积前景理论的基坑支护方案决策[J]. 岩土力学, 2016 , 37(S2) : 622 -628 . DOI: 10.16285/j.rsm.2016.S2.078

Abstract

The decision-making of retaining schemes of foundation pit is a complex and uncertainty problem since it involves the fuzziness and uncertainty of influenced factors and the risk attitude of decision makers. A novel coupling model using cumulative prospect theory and the connection number is introduced here to determinate the optimal scheme for the foundation pit supporting system. In the model, the positive and negative ideal schemes are first specified from the original and normalized information. And then the set pair analyses are carried out to analyze certainty and uncertainty relationships between proposed schemes and the positive and negative ideal schemes. A prospect value function and a comprehensive decision-making model are described to specify the weight sectors and the optimal scheme. The results from the case study and comparison with other methods show that the proposed model used to select the foundation pit support schemes is effective and feasible. It also enables us to analyze the certainty and uncertainty relationships between proposed schemes and the positive and negative ideal schemes, and transformation trend from a uniform way and avoid the irrationality during the decision-making process.
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