Granular interval type-2 membership functions and modeling application on a nonlinear system

12th IEEE International Symposium on Computational Intelligence and Informatics, CINTI 2011 - Proceedings

Volumn , Issue , 2011, Pages 397-402

  Ulu, Cenk ^a   Güzelkaya, Müjde ^a   Eksin, Ibrahim ^a  

^a ISTANBUL TECHNICAL UNIVERSITY   (Turkey)

Author keywords

[No Author keywords available]

Indexed keywords

DEAD ZONES; DESIGN PROCEDURE; FOOTPRINT OF UNCERTAINTIES; FUZZY GRANULES; HIGHLY NONLINEAR; INPUT-OUTPUT MAPPING; INTERVAL TYPE-2 FUZZY SETS; MODELING APPLICATIONS; NON-LINEARITY; TYPE-2 FUZZY LOGIC SYSTEM; UNIVERSE OF DISCOURSE;

ARTIFICIAL INTELLIGENCE; FUZZY LOGIC; FUZZY SETS; FUZZY SYSTEMS; INFORMATION SCIENCE; NONLINEAR SYSTEMS;

MEMBERSHIP FUNCTIONS;

EID: 84855939781     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1109/CINTI.2011.6108537     Document Type: Conference Paper

References (30)

1. Zadeh L. A., "The concept of a linguistic variable and its application to approximate reasoning-1," Inform. Sci., 8, pp. 199-249, 1975.
2. J. M. Mendel, Uncertain Rule-Based Fuzzy Logic Systems: Introduction and New Directions, Upper Saddle River, NJ, Prentice-Hall, 2001.
3. R. Sepulveda, O. Castillo, P. Melin, A. Rodríguez-Díaz, and O. Montiel, "Experimental study of intelligent controllers under uncertainty using type-1 and type-2 fuzzy logic," Information Sciences, vol. 177, no.10, pp. 2023-2048, May 2007. (Pubitemid 46356313)
4. S. Coupland, M. Gongora, R. I. John, and K. Wills, "A comparative study of fuzzy logic controllers for autonomous robots," in Proc. IPMU'06, pp. 1332-1339, 2006.
5. M. Biglarbegian, W. W. Melek, and J. M. Mendel, "A practical approach for design of PD and PI like interval type-2 TSK fuzzy controllers," IEEE International Conference on Systems, Man and Cybernetics SMC'09, pp. 255-261, 2009.
6. Sung-Kwun Oh, Han-Jong Jang, Witold Pedrycz, "A comparative experimental study of type-1/type-2 fuzzy cascade controller based on genetic algorithms and particle swarm optimization", Expert Systems with Applications, Vol. 38, Issue 9, Pages 11217-11229, 2011
7. H. A. Hagras, "A hierarchical type-2 fuzzy logic control architecture for autonomous mobile robots," IEEE Trans. Fuzzy Systems, vol. 12, pp. 524-539, 2004.
8. P.-Z. Lin, C.-F. Hsu, and T.-T. Lee, "Type-2 fuzzy logic controller design for buck DC-DC converters," Proceedings of IEEE FUZZ Conference, pp. 365-370, 2005.
9. D. Wu and W. W. Tan, "Genetic learning and performance evaluation of interval type-2 fuzzy logic controllers," Engineering Applications of Artificial Intelligence, vol. 19, Issue 8, Pages 829-841, 2006. (Pubitemid 44667712)
10. L. Leottau and M. Melgarejo, "A simple approach for designing a type-2 fuzzy controller for a mobile robot application" Annual Meeting of the North American Fuzzy Information Processing Society (NAFIPS), pp. 1-6, 2010.
11. S. Nurmaini, S. Zaiton, and D. Norhayati, "An embedded interval type-2 neuro-fuzzy controller for mobile robot navigation," Proceedings of the 2009 IEEE International Conference on Systems, Man, and Cybernetics, pp. 4315-4321, 2009.
12. Mendel J. M., John R.I.B., "Type-2 fuzzy sets made simple", IEEE TRANSACTIONS ON FUZZY SYSTEMS, vol. 10, no. 2, 117-127, 2002. (Pubitemid 34554858)
13. Mendel, J. M., R. I. John and F. Liu, "Interval Type-2 Fuzzy Logic Systems Made Simple," IEEE Trans. on Fuzzy Systems, vol. 14, pp. 808-821, 2006. (Pubitemid 46432460)
14. Linda, O.; Manic, M., "Uncertainty - Robust Design of Interval Type-2 Fuzzy Logic Controller for Delta Parallel Robot", IEEE Transactions on Industrial Informatics, Volume: PP, Issue: 99, pages 1, 2011.
15. Karnik, N. N., Mendel J. M., "Applications of Type-2 Fuzzy Logic Systems to Forecasting of Time-Series", Information Sciences, vol. 120, pp. 89-111, 1999. (Pubitemid 30531039)
16. Benatar, Naisan; Aickelin, Uwe; Garibaldi, Jonathan M., "A comparison of non-stationary, type-2 and dual surface fuzzy control", IEEE International Conference on Fuzzy Systems (FUZZ 2011), Page(s): 1193-1200, 2011.
17. Giridhar, M.S., Sivanagaraju, S., "Distribution transformer load modeling with interval Type-2 Fuzzy Sets", Joint International Conference on Power Electronics, Drives and Energy Systems (PEDES) & 2010 Power India, Page(s): 1-5, 2010.
18. Ching-Hung Lee, Hung-Yi Pan, "Performance enhancement for neural fuzzy systems using asymmetric membership functions", Fuzzy Sets and Systems, Volume 160, Issue 7, 1 Pages 949-971, 2009.
19. Mendel, J.M., Hongwei Wu, "Type-2 Fuzzistics for Symmetric Interval Type-2 Fuzzy Sets: Part 1, Forward Problems", IEEE Transactions on Fuzzy Systems, Volume: 14, Issue: 6, Page(s): 781-792, 2006.
20. Mendel, J.M.; Hongwei Wu, "Type-2 Fuzzistics for Nonsymmetric Interval Type-2Fuzzy Sets: Forward Problems", IEEE Transactions on Fuzzy Systems, Volume: 15, Issue: 5, Page(s): 916-930, 2006.
21. August S. Coupland, R. John, "Geometric Interval Type-2 Fuzzy Systems", Proceedings of the joint 4th Conference of the European Society for Fuzzy Logic and Technology (EUSFLAT 2005) and the 11th LFA (joint EUSFLAT-LFA 2005), pp.449-454, 2005.
22. N. Sahab, H. Hagras, "An Adaptive Non-singleton Type-2 Fuzzy Logic Systems: A Way Forward for Handling Numerical Uncertainties in Real World Applications", Int. J. of Computers, Communications & Control, Vol. VI, No. 3, pp. 503-529, 2011.
23. Shyi-Ming Chen, Li-Wei Lee, "Fuzzy interpolative reasoning for sparse fuzzy rule-based systems based on interval type-2 fuzzy sets", Expert Systems with Applications, Volume 38, Issue 8, Pages 9947-9957, 2011.
24. Maity, S. and Sil, J., "Color Image Segmentation using Type-2 Fuzzy Sets", International Journal of Computer and Electrical Engineering, Vol. 1, No. 3, 376-383, 2009.
25. Khanesar, M. A., Kayacan, E., Teshnehlab, M., Kaynak, O., "Analysis of the Noise Reduction Property of Type-2 Fuzzy Logic Systems Using a Novel Type-2 Membership Function", IEEE Transactions on Systems, Man, and Cybernetics, Part B: Cybernetics, Volume: 41, Issue: 5, Page(s): 1395-1406, 2011.
26. Khanesar, M.A., Teshnehlab, M., Kayacan, E., Kaynak, O., "A Novel Type-2 Fuzzy Membership Function: Application to the Prediction of Noisy Data", IEEE International Conference on Computational Intelligence for Measurement Systems and Applications (CIMSA), Page(s): 128-133, 2010.
27. Karaköse, M., "Sine-square Embedded Fuzzy Sets", IEEE International Conference on Systems Man and Cybernetics (SMC), Page(s): 3628-3631, 2010.
28. L.A. Zadeh, "Toward a theory of fuzzy information granulation and its centrality in human reasoning and fuzzy logic", Fuzzy Sets Syst., 90, 111-137, 1997
29. Mendel, J. M. and H. Wu, "New Results About the Centroid of an Interval Type-2 Fuzzy Set, Including the Centroid of a Fuzzy Granule," Information Sciences, vol. 177, pp. 360-377, 2007. (Pubitemid 44634440)
30. M. Begian, W. Melek, and J. Mendel, "Stability analysis of type-2 fuzzy systems," in Fuzzy Systems, 2008. FUZZ-IEEE 2008. (IEEE World Congress on Computational Intelligence). IEEE International Conference on, pp. 947 -953, 1-6 June 2008.