Application of intuitionistic fuzzy set TOPSIS to evaluation of seismic stability of slopes

doi:10.16265/j.cnki.issn1003-3033.2017.06.025

Abstract

Abstract: In order to evaluate seismic stability of rock and soil slopes correctly, based on the intuitionistic fuzzy set TOPSIS, an evaluation model for seismic stability of slopes was built. By comprehensive consideration of qualitative and quantitative indicators, six indexes were identified, including the characteristics of the geotechnical body, the characteristics of the neotectonics, slope height, slope angle, the annual average precipitation, and site seismic intensity. For the fuzziness of qualitative indicators and index weights, intuitionistic fuzzy sets were used to represent them. A seismic stability evaluation model of slope was built based on TOPSIS. The model was used to evaluate the seismic stability of 16 slopes. The evaluation results conform with the actual situation. The results show that the evaluation model of seismic stability of rock slope based on intuitionistic fuzzy set TOPSIS can be used to deal with the fuzziness of weights of indexes and qualitative indexes, and evaluation results obtained by using the model are more accurate than those by the catastrophe progression method, the attribute mathematical theory, the grey clustering method, the comprehensive index method, and the fuzzy factors method.

Key words: slopes, seismic stability, intuitionistic fuzzy set, hesitancy degrees, technique for order preference by similarity to ideal solution(TOPSIS)

CLC Number:

X913.4

WU Shuliang, HUO Liang, YAN Rongfu. Application of intuitionistic fuzzy set TOPSIS to evaluation of seismic stability of slopes[J]. China Safety Science Journal, 2017, 27(6): 145-150.

References

[1] 罗亦泳,张立亭,鲁铁定,等.露天矿边坡变形预测的协同进化多核相关向量机模型[J].中国安全科学学报,2016,26(11):110- 114.
LUO Yiyong, ZHANG Liting, LU Tieding, et al.Forecasting of slope deformation in open-pit mine based on CEPSO-MK-RVM[J]. China Safety Science Journal, 2016,26(11):110- 114.
[2] WINES D. A comparison of slope stability analyses in two and three dimensions[J]. Journal of the Southern African Institute of Mining and Metallurgy,2016, 116(5): 399-406.
[3] ACHARYA K P, BHANDARY N P, DAHAL R K, et al. Seepage and slope stability modelling of rainfall-induced slope failures in topographic hollows[J]. Geomatics Natural Hazards & Risk,2016, 7(2): 721-746.
[4] 刘丽峰,朱明,岳鑫,等.用神经网络分析露天矿边坡稳定性[J].金属矿山,2008(9):38-39,56.
LIU Lifeng, ZHU Ming, YUE Xin, et al. Application of neural network in analyzing open-pit slope stability[J]. Metal Mine, 2008(9): 38-39,56.
[5] 王新民,康虔,秦健春,等.层次分析法-可拓学模型在岩质边坡稳定性安全评价中的应用[J].中南大学学报:自然科学版,2013, 44(6):2 455-2 462.
WANG Xinmin, KANG Qian, QIN Jianchun, et al. Application ofAHP-extenics model to safety evaluation of rock slope stability[J]. Journal of Central South University:Science and Technology, 2013, 44(6): 2 455-2 462.
[6] 王余庆,高艳平,辛鸿博.用灰色聚类方法预测边坡地震稳定性研究[J].工业建筑,2002, 32(6):44-47.
WANG Yuqing, GAO Yanping, XIN Hongbo. A research on prediction of seismic stability of slopes by grey clustering method[J]. Industrial Construction, 2002, 32(6): 44-47.
[7] 方国华,黄显峰.多目标决策理论、方法及其应用[M].北京:科学出版社,2011:55-62.
FANG Guohua, HUANG Xianfeng.Multi-objective decision theory and its application[M]. Beijing: Science Press, 2011:55-62.
[8] 李登峰.直觉模糊集决策与对策分析方法[M].北京:国防工业出版社,2012:12-36.
LI Dengfeng. Intuitionistic fuzzy set decision and game analysis methodologies[M]. Beijing: National Defense Industry Press, 2012:12-36.
[9] 马毅,王希良,刘振,等.基于模糊因素的岩质边坡地震稳定性多模型组合评价[J]. 岩土力学,2011,32(增1):624-629.
MA Yi, WANG Xiliang, LIU Zhen, et al. Multiple model combination evaluation of seismic stability of rock slopes based on fuzzy factors[J]. Rock and Soil Mechanics, 2011, 32 (S1): 624- 629.
[10] 文畅平,杨果林.基于属性数学理论的岩土边坡地震稳定性评价[J].中国铁道科学,2010, 31(5):8-14.
WEN Changping, YANG Guolin. The seismic stability evaluation of the rock and soil slope based on the attribute mathematical theory[J]. China Railway Science, 2010, 31(5): 8-14.
[11] 高科,李夕兵,宫凤强.基于突变级数法的边坡地震稳定性综合评价[J].地下空间与工程学报,2009, 5(2):406-411.
GAO Ke, LI Xibing, GONG Fengqiang. Integrative evaluation of seismic stability of slopes based on catastrophe progression method[J]. Chinese Journal of Underground Space and Engineering, 2009, 5(2): 406-411.
[12] 邢清华,刘付显.直觉模糊集隶属度与非隶属度函数的确定方法[J].控制与决策,2009, 24(3):393-397.
XING Qinghua, LIU Fuxian. Method of determining membership and nonmembership function in intuitionistic fuzzy sets[J]. Control and Decision, 2009, 24(3): 393-397.