Abstract
A slope stability evaluation method is proposed combining group decision theory, the analytic hierarchy process and fuzzy comprehensive evaluation. The index weight assignment of each evaluation element is determined by group decision theory and the analytic hierarchy process, and the membership degree of each indicator is determined based on fuzzy set theory. According to the weights and memberships, the membership degrees of the criterion layer are obtained by fuzzy operations to evaluate the slope stability. The results show that (1) the evaluation method comprehensively combines the effects of multiple factors on the slope stability, and the evaluation results are accurate; (2) the evaluation method can fully leverage the experience of the expert group and effectively avoid evaluation errors caused by the subjective bias of a single expert; (3) based on a group decision theory entropy model, this evaluation method can quantitatively evaluate the reliability of expert decisions and effectively improve the efficiency of expert group discussion; and (4) the evaluation method can transform the originally fuzzy and subjective slope stability evaluation into a quantitative evaluation.
Similar content being viewed by others
References Cited
Azarafza, M., Asghari-Kaljahi, E., Ghazifard, A., et al., 2020. Application of Fuzzy Expert Decision-Making System for Rock Slope Block-Toppling Modeling and Assessment: A Case Study. Modeling Earth Systems and Environment, 5(5): 10. https://doi.org/10.1007/s40808-020-00877-9
Bahrami, Y., Hassani, H., Maghsoudi, A., 2020. Landslide Susceptibility Mapping Using AHP and Fuzzy Methods in the Gilan Province, Iran. GeoJournal, 97(6). https://doi.org/10.1007/s10708-020-10162-y
Bar, N., Kostadinovski, M., Tucker, M., et al., 2020. Rapid and Robust Slope Failure Appraisal Using Aerial Photogrammetry and 3D Slope Stability Models. International Journal of Mining Science and Technology, 30(5): 651–658. https://doi.org/10.1016/j.ijmst.2020.05.013
Bi, R. N., Ehret, D., Xiang, W., et al., 2012. Landslide Reliability Analysis Based on Transfer Coefficient Method: A Case Study from Three Gorges Reservoir. Journal of Earth Science, 23(2): 187–198. https://doi.org/10.1007/s12583-012-0244-7
Cheng, Y. M., Lansivaara, T., Wei, W. B., 2007. Two-Dimensional Slope Stability Analysis by Limit Equilibrium and Strength Reduction Methods. Computers and Geotechnics, 34(3): 137–150. https://doi.org/10.1016/j.compgeo.2006.10.011
Cho, S. E., 2013. First-Order Reliability Analysis of Slope Considering Multiple Failure Modes. Engineering Geology, 154: 98–105. https://doi.org/10.1016/j.enggeo.2012.12.014
Daftaribesheli, A., Ataei, M., Sereshki, F., 2011. Assessment of Rock Slope Stability Using the Fuzzy Slope Mass Rating (FSMR) System. Applied Soft Computing, 11(8): 4465–4473. https://doi.org/10.1016/j.asoc.2011.08.032
Deng, D. P., 2020. Limit Equilibrium Solution for the Rock Slope Stability under the Coupling Effect of the Shear Dilatancy and Strain Softening. International Journal of Rock Mechanics and Mining Sciences, 134: 104421. https://doi.org/10.1016/j.ijrmms.2020.104421
Deng, C., Hu, H. X., Zhang, T. L., et al., 2020. Rock Slope Stability Analysis and Charts Based on Hybrid Online Sequential Extreme Learning Machine Model. Earth Science Informatics, 13(3): 729–746. https://doi.org/10.1007/s12145-020-00458-5
Gao, Y. K., Bao, N., Zhang, Y. H., et al., 2011. Research on Index System of Rock Slope Safety Evaluation for Open Pit Mine. Procedia Engineering, 26: 1692–1697. https://doi.org/10.1016/j.proeng.2011.11.2355
Gu, C. Y., Qiu, W. H., 1992. Complex Entropy and Its Application—Bayes-E Decesion Procedure. Chinese Journal of Aeronautics, 5(3): 159–165
Griffiths, D. V., Fenton, G A., 2004. Probabilistic Slope Stability Analysis by Finite Elements. Journal of Geotechnical and Geoenvironmental Engineering, 130(5): 507–518. https://doi.org/10.1061/(asce)1090-0241(2004)130:5(507)
He, H. Y., Hu, T., Zhao, J., 2012. Risk Assessment Indexes System of High Rock Slope Based on AHP. Journal of Central South University (Science and Technology), 43(7): 2861–2868 (in Chinese with English Abstract)
Hong, Y. Y., Qiu, W. H., 2000. An Integrated Arithmetic of AHP and GEM. Chinese Journal of Management Science, 8(4): 36–42. https://doi.org/10.16381/j.cnki.issn1003-207x.2000.04.007 (in Chinese with English Abstract)
Hu, X. L., Tang, H. M., Li, C. D., et al., (2012. Stability of Huangtupo Riverside Slumping Mass II# under Water Level Fluctuation of Three Gorges Reservoir. Journal of Earth Science, 23(3): 326–334. https://doi.org/10.1007/s12583-012-0259-0
Hwang, C. L., Lin, M. J., 2012. Group Decision Making under Multiple Criteria: Methods and Applications. Springer-Verlag Berlin Heidelberg, New York. https://doi.org/10.1007/978-3-642-61580-1
Iqbal, J., Dai, F. C., Hong, M., et al., 2018. Failure Mechanism and Stability Analysis of an Active Landslide in the Xiangjiaba Reservoir Area, Southwest China. Journal of Earth Science, 29(3): 646–661. https://doi.org/10.1007/s12583-017-0753-5
Jiang, S. H., Li, D. Q., Cao, Z. J., et al., 2015. Efficient System Reliability Analysis of Slope Stability in Spatially Variable Soils Using Monte Carlo Simulation. Journal of Geotechnical and Geoenvironmental Engineering, 141(2): 04014096. https://doi.org/10.1061/(asce)gt.1943-5606.0001227
Kayastha, P., Dhital, M. R., De Smedt, F., 2013. Application of the Analytical Hierarchy Process (AHP) for Landslide Susceptibility Mapping: A Case Study from the Tinau Watershed, West Nepal. Computers & Geosciences, 52: 398–408. https://doi.org/10.1016/j.cageo.2012.11.003
Li, S. J., Gao, H., Xu, D. M., et al., 2012. Comprehensive Determination of Reinforcement Parameters for High Cut Slope Based on Intelligent Optimization and Numerical Analysis. Journal of Earth Science, 23(2): 233–242. https://doi.org/10.1007/s12583-012-0250-9
Lin, Z. Z., Wen, F. S., Xue, Y. S., et al., 2010. Black-Start Decision-Making in Smart Grids Using Multi-Attribute Group Eigenvalue Method. Automation of Electric Power Systems, 34(5): 18–23. https://doi.org/10.1109/ccece.2010.5575154 (in Chinese with English Abstract)
Liu, S. Y., Shao, L. T., Li, H. J., 2015. Slope Stability Analysis Using the Limit Equilibrium Method and Two Finite Element Methods. Computers and Geotechnics, 63: 291–298. https://doi.org/10.1016/j.compgeo.2014.10.008
Liu, Z. B., Shao, J. F., Xu, W. Y., et al., 2014. An Extreme Learning Machine Approach for Slope Stability Evaluation and Prediction. Natural Hazards, 73(2): 787–804. https://doi.org/10.1007/s11069-014-1106-7
Liu, Z. B., Shao, J. F., Xu, W. Y., et al., 2013. Estimation of Elasticity of Porous Rock Based on Mineral Composition and Microstructure. Advances in Materials Science and Engineering, 2013(6): 1–10. https://doi.org/10.1155/2013/512727
Lu, L., Wang, Z. J., Song, M. L., et al., 2015. Stability Analysis of Slopes with Ground Water during Earthquakes. Engineering Geology, 193: 288–296. https://doi.org/10.1016/j.enggeo.2015.05.001
Mao, Z. J., An, N., Li, R. T., et al., 2020. Treatment Effect Analysis on Shallow Buried Bias Slope Section of Tunnel Based on Fuzzy Comprehensive Evaluation. Geotechnical and Geological Engineering, 38(5): 4463–4477. https://doi.org/10.1007/s10706-020-01302-9
Ni, W. D., Tang, H. M., Liu, X., et al., 2014. Dynamic Stability Analysis of Wedge in Rock Slope Based on Kinetic Vector Method. Journal of Earth Science, 25(4): 749–756. https://doi.org/10.1007/s12583-014-0462-2
Park, H. J., Um, J. G., Woo, I., et al., 2012. Application of Fuzzy Set Theory to Evaluate the Probability of Failure in Rock Slopes. Engineering Geology, 125: 92–101. https://doi.org/10.1016/j.enggeo.2011.11.008
Peng, H. H., Wang, G., Ma, Z. Y., 2011. Research on Calculation Method of Fuzzy-Random Risk for Instability of Gravity Dam Foundation. Dam & Safety, (4): 1–9 (in Chinese with English Abstract)
Qiao, J. G., Chen, C., 2015. Research on Local Standards System of Port & Waterway Engineering based on the Characteristic Roots Theory. Standard Science, (3): 14–17 (in Chinese with English Abstract)
Qiu, W. H., 1997. An Eigenvalue Method on Group Decision. Applied Mathematics and Mechanics, 18(11): 1099–1104. https://doi.org/10.1007/bf00132804
Qiu, W. H., 1995. An Entropy Model on Group Decision System. Control and Decision, 10(1): 50–54 (in Chinese with English Abstract)
Ray, A., Kumar, V., Kumar, A., et al., 2020. Stability Prediction of Himalayan Residual Soil Slope Using Artificial Neural Network. Natural Hazards, 103(3): 3523–3540. https://doi.org/10.1007/s11069-020-04141-2
Rozos, D., Bathrellos, G. D., Skillodimou, H. D., 2011. Comparison of the Implementation of Rock Engineering System and Analytic Hierarchy Process Methods, Upon Landslide Susceptibility Mapping, Using GIS: A Case Study from the Eastern Achaia County of Peloponnesus, Greece. Environmental Earth Sciences, 63(1): 49–63. https://doi.org/10.1007/s12665-010-0687-z
Saaty, T. L., 1979. Applications of Analytical Hierarchies. Mathematics and Computers in Simulation, 21(1): 1–20. https://doi.org/10.1016/0378-4754(79)90101-0
Saaty, T. L., 1990. How to Make a Decision: The Analytic Hierarchy Process. European Journal of Operational Research, 48(1): 9–26. https://doi.org/10.1016/0377-2217(90)90057-1
Shannon, C. E., 1948. A Mathematical Theory of Communication. Bell System Technical Journal, 27(4): 623–656 https://doi.org/10.1002/j.1538-7305.1948.tb00917.x
Shi, D. Y., Teng, X. Y., Zhong, Y. G., 2015. The Recognition of Postgraduates’ Innovative Ability Evaluation Index Based on GEM. Heilongiang Researches on Higher Education, (9): 149–152 (in Chinese with English Abstract)
Sun, H. Y., Zhong, J., Zhao, Y., et al., (2013. The Influence of Localized Slumping on Groundwater Seepage and Slope Stability. Journal of Earth Science, 24(1): 104–110. https://doi.org/10.1007/s12583-013-0307-4
Sinha, S., Singh, T. N., Singh, V. K., et al., 2010. Epoch Determination for Neural Network by Self-Organized Map (SOM). Computational Geosciences, 14(1): 199–206. https://doi.org/10.1007/s10596-009-9143-0
Suh, J., Choi, Y., Roh, T. D., et al., 2011. National-Scale Assessment of Landslide Susceptibility to Rank the Vulnerability to Failure of Rock-Cut Slopes along Expressways in Korea. Environmental Earth Sciences, 63(3): 619–632. https://doi.org/10.1007/s12665-010-0729-6
Tan, F. L., Hu, X. L., He, C. C., et al., 2018. Identifying the Main Control Factors for Different Deformation Stages of Landslide. Geotechnical and Geological Engineering, 36(1): 469–482. https://doi.org/10.1007/s10706-017-0340-7
Yu, J., Wen, T., 2012. Evaluation of the Service Level for Bus Based on Group Eigenvalue Method. Journal of Hunan City University (Natural Science), 21(1): 39–42 (in Chinese with English Abstract)
Yuan, W., Li, J. X., Li, Z. H., et al., 2020. A Strength Reduction Method Based on the Generalized Hoek-Brown (GHB) Criterion for Rock Slope Stability Analysis. Computers and Geotechnics, 117: 103240. https://doi.org/10.1016/j.compgeo.2019.103240
Zadeh, L. A., 1965. Fuzzy Sets. Information and Control, 8(3): 338–353. https://doi.org/10.1016/s0019-9958(65)90241-x
Zang, T. L., He, Z. Y., Qian, Q. Q., 2015. Distribution Network Service Restoration Multiple Attribute Group Decision-Making Using Entropy Weight and Group Eigenvalue. In: Third International Conference on Intelligent System Design and Engineering Applications, Hong Kong. 602–606. https://doi.org/10.1109/isdea.2012.146
Zhang, Y. H., Li, H. X., Sheng, Q., et al., 2010. Study of Stability Gradation of Highway Rock Slopes Based on Fuzzy Comprehensive Evaluation. Rock and Soil Mechanics, 31(10): 3151–3156. https://doi.org/10.3969/j.issn.1000-7598.2010.10.02 (in Chinese with english Abstract)
Zhao, J. J., Huang, R. Q., Xiang, X. Q., 2004. Twi-Fuzzy Comprehensive Evaluation for Slope Stability of a Hydroelectric Station. Hydrogeology and Engineering Geology, 31(2): 45–49 (in Chinese with English Abstract)
Acknowledgments
This study was supported by the National Key Research and Development Program of China (No. 2017YFC1501302), the National Natural Science Foundation of China (No. 41630643) and the Fundamental Research Funds for the Central Universities (No. CUGCJ1701). The final publication is available at Springer via https://doi.org/10.1007/s12583-020-1101-8.
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Xia, P., Hu, X., Wu, S. et al. Slope Stability Analysis Based on Group Decision Theory and Fuzzy Comprehensive Evaluation. J. Earth Sci. 31, 1121–1132 (2020). https://doi.org/10.1007/s12583-020-1101-8
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s12583-020-1101-8