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Optimisation of Treatment Scheme for Water Inrush Disaster in Tunnels Based on Fuzzy Multi-criteria Decision-Making in an Uncertain Environment

  • Zhu Wen
  • Ziming Xiong
  • Hao Lu
  • Yuanpu XiaEmail author
Research Article - Civil Engineering
  • 11 Downloads

Abstract

Water inrush is a common geological hazard encountered during tunnel construction. According to the characteristics of water inrush risk, a triangular intuitive fuzzy multi-criteria decision-making model based on prospect theory and evidential reasoning is proposed to optimise the necessary disaster treatment scheme. Firstly, since the attribute information is difficult to be quantified in tunnel engineering works, this study proposes a method based on a combination of linguistic descriptions and triangular fuzzy numbers, and then, triangular intuitive fuzzy numbers are constructed to quantify attribute information. Secondly, a method for dynamic reference points under a triangular intuitive information environment is proposed, and then, a prospective value decision matrix can be constructed. Thirdly, based on the existing research results related to fuzzy information entropy and cross-entropy, the new formulae for cross-entropy and entropy of triangular intuitive fuzzy information are proposed, and the attribute weights are determined by using the proposed method of cross-entropy and entropy. Fourthly, since evidence theory has significant advantages in information aggregation, multi-source decision information is aggregated by evidential reasoning. Finally, the proposed decision-making model is applied to the Yuelongmen tunnel project, and the expected effect is achieved: this also provides a reference for other risk decision-making problems in underground engineering.

Keywords

Fuzzy multi-criteria decision-making Tunnel Water inrush Prospect theory Evidential reasoning 

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Notes

Acknowledgements

We thank the anonymous peer reviewers for providing valuable suggestions leading to improvements in the written manuscript. This work was supported by the National Key Basic Research Programme (Grant No. 2013CB036005) and the National Natural Science Fund Youth Project (51608529).

Compliance with Ethical Standards

Author Contributions

YX conceived, designed, and performed the study. ZX and ZW collected and analysed the example used in the paper. YX and HL wrote and revised the paper together. The authors have read, and approved, the final published manuscript.

Conflict of interest

The authors declare no conflict of interest.

Data Availability

This theoretical paper does not rely on empirical data. All of the plots can be generated by following the equations and instructions provided in the paper.

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© King Fahd University of Petroleum & Minerals 2019

Authors and Affiliations

  1. 1.School of Mechanical EngineeringNanjing University of Science and TechnologyNanjingChina
  2. 2.State Key Laboratory of Disaster Prevention and Mitigation of Explosion and ImpactThe Army Engineering University of PLANanjingChina

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