Application of Fuzzy Set Theory to Evaluate the Stability of Slopes

Article Preview

Abstract:

An artificial intelligence tools, Adaptive Neuro Fuzzy Inference System (ANFIS), was used in this study to predict the stability of slopes. Data used in this study were 300 various designs of slope. Those designs were created by using Slope/W which calculated factors of safety using various limit equilibrium methods (LEM) such as Bishop, Spencer and Morgenstern-Price. The input parameters consisted of height of slope, H (1–10 m), unit weight of slope material, γ (15-22 kN/m3), angle of slope, θ (11.31°-78.69°), coefficient of cohesion, c (0-50 kN/m2) and internal angle of friction, (20°- 40°) and the output parameter is the factor of safety. To build the fuzzy inference system, 243 rules were used at 60 epochs. The number of membership function for the any input was three and the type of membership function for output was linear. ANFIS obtained regression square (R2) of one for Bishop, one for Janbu, one for Morgenstern-Price and one for Ordinary. The result proved that ANFIS may possibly predict the safety factor with good precision and nearly to the target data.

You might also be interested in these eBooks

Info:

Periodical:

Pages:

566-571

Citation:

Online since:

July 2014

Export:

Price:

Permissions CCC:

Permissions PLS:

Сopyright:

© 2014 Trans Tech Publications Ltd. All Rights Reserved

Share:

Citation:

* - Corresponding Author

[1] Lee, W.A., Thomas, S.L., Sunil, S. & Glenn, M. Slope stability and stabilization methods. Ed. th-2. New York: John Wiley & Sons (2002).

Google Scholar

[2] Choobbasti, A.J., Farrokhzad, F. & Barari, A. Prediction of slope stability using artificial neural network. Arabian Journal of Geosciences 2(4): 311-319 (2009).

DOI: 10.1007/s12517-009-0035-3

Google Scholar

[3] Ping, K.Z. & Zhi, Q.C. Stability prediction of tailing dam slope based on neural network recognition. Proceeding of the International Conference on pattern Environmental and Computer Science 380-383 (2009).

DOI: 10.1109/icecs.2009.55

Google Scholar

[4] Vector, Y. Application of soil nailing for slope stability purpose. Thesis B. Sc. University of Technology (2008).

Google Scholar

[5] Braja, M.D. Principles of geotechnical engineering. Ontario: Nelson (2007).

Google Scholar

[6] Fredlund, D.G. & Krahn, J. Comparison of slope stability methods of analysis. Canadian Geotechnical Journal 14: 429-439 (1977).

DOI: 10.1139/t77-045

Google Scholar

[7] Terzaghi, K. & Peck, R.B. Soil mechanics in engineering practice. Ed. the-2. New York: John Wiley & Sons (1967).

Google Scholar

[8] Wright, S. A study of slope stability and the undrained shear strength of clay shales. Thesis Ph.D. University of California (1969).

Google Scholar

[9] Fredlund. A comprehensive and flexible slope stability program. The Roads and Transportation Association of Canada Meeting (1975).

Google Scholar

[10] Jang, J.S.R. ANFIS: adaptive-network-based fuzzy inference system. IEEE Transactions on System Man and Cybernetics 23(3): 665-685 (1993).

DOI: 10.1109/21.256541

Google Scholar

[11] Pedrycz, W. Fuzzy Control and Fuzzy Systems. New York: John Wiley & Sons (1989).

Google Scholar

[12] Sugeno, M. Industrial applications of fuzzy control. North Holland: Elsevier Science (1985).

Google Scholar

[13] Kandel, A. Fuzzy expert systems. Boston: Addison Wesley (1988).

Google Scholar

[14] Kandel, A. Fuzzy expert systems. Boca Raton: CRC (1992).

Google Scholar

[15] Takagi, T. & Sugeno, M. Derivation of fuzzy control rules from human operator's control actions. Proceeding of the IFAC Fuzzy Information Knowledge Representation and Decision Analysis 55-60 (1983).

DOI: 10.1016/s1474-6670(17)62005-6

Google Scholar

[16] Zadeh, L.A. Fuzzy sets. Information and Control 8: 338-353 (1965).

Google Scholar

[17] Zadeh, L.A. Outline of a new approach to the analysis of complex systems and decision processes. IEEE Transactions on System Man and Cybernetics 3: 28-44 (1973).

DOI: 10.1109/tsmc.1973.5408575

Google Scholar

[18] Lee, C.C. Fuzzy logic in control systems: fuzzy logic controller-part 1. IEEE transactions on Systems, Man, and Cybernetics 20(2): 404-418 (1990a).

DOI: 10.1109/21.52551

Google Scholar

[19] Lee, C.C. Fuzzy logic in control systems: fuzzy logic controller-part 2. IEEE transactions on Systems, Man, and Cybernetics 20(2): 419-435 (1990b).

DOI: 10.1109/21.52552

Google Scholar

[20] Tsukamoto, Y. An approach to fuzzy reasoning method. Advances in Fuzzy Set Theory and Applications 137-149 (1979).

Google Scholar

[21] Sivarao, Peter, B. & El-Tayeb, N.S.M. A new approach of adaptive network-based fuzzy inference system modeling in laser processing-a graphical user interface (GUI) based. Journal of Computer Science 5(10): 704-710 (2009).

DOI: 10.3844/jcssp.2009.704.710

Google Scholar

[22] Merikoski, S., Laurikkala, M. & Koivisto, H. An adaptive neuro-fuzzy inference system as a soft sensor for viscosity in rubber mixing process. Automation and Control Institute: Tampere (2001).

Google Scholar

[23] Jang, R. Neuro-Fuzzy and Soft Computing: A Computational Approach to Learning and Machine Intelligence. New Jersey: Prentice Hall (1996).

Google Scholar

[24] Sakellariou, M.G. & Ferentinou, M.D. A study of slope stability prediction using neural networks. Geotechnical and Geological Engineering 23: 419–445 (2005).

DOI: 10.1007/s10706-004-8680-5

Google Scholar