A new indirect approach to the type-2 fuzzy systems modeling and design

Information Sciences

Volumn 232, Issue , 2013, Pages 346-365

  Fazel Zarandi, M H ^a,b   Doostparast Torshizi, A ^a   Turksen, I B ^b,c   Rezaee, B ^a  

^a AMIRKABIR UNIVERSITY OF TECHNOLOGY   (Iran)

^b UNIVERSITY OF TORONTO   (Canada)

^c TOBB UNIVERSITY OF ECONOMICS AND TECHNOLOGY   (Turkey)

Author keywords

Cluster validity index; Type 2 fuzzy logic system; Uncertainty bound

Indexed keywords

CLUSTER VALIDITY INDICES; COMPUTATIONAL RESULTS; INTERVAL TYPE-2 FUZZY LOGIC SYSTEMS; POSSIBILISTIC C-MEANS; QUALITY OF CLUSTERING; TYPE-2 FUZZY LOGIC SYSTEM; TYPE-2 FUZZY SYSTEMS; UNCERTAINTY BOUNDS;

CLUSTERING ALGORITHMS; FUZZY CLUSTERING; FUZZY LOGIC;

FUZZY SYSTEMS;

EID: 84875416158     PISSN: 00200255     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ins.2012.12.017     Document Type: Article

References (58)

1. R.A. Aliev, W. Pedrycz, B.G. Guirimov, R.R. Aliev, U. Ilhan, M. Babagil, and S. Mammadli Type-2 fuzzy neural networks with fuzzy clustering and differential evolution optimization Information Sciences 181 2011 1591 1608
2. J.C. Bezdek Cluster validity with fuzzy sets Cybernetics and Systems 3 3 1973 58 73
3. J.C. Bezdek Pattern Recognition with Fuzzy Objective Function Algorithms 1981 Plenum Press
4. M. Biglarbegian, W. Melek, and J. Mendel On the robustness of type-1 and interval type-2 fuzzy logic systems in modeling Information Sciences 181 2011 1325 1347
5. O. Castillo, R. Martinez-Marroquin, P. Melin, F. Valdez, and J. Soria Comparative study of bio-inspired algorithms applied to the optimization of type-1 and type-2 fuzzy controllers for an autonomous mobile robot Information Sciences 192 2012 19 38
6. O. Castillo, and P. Melin Optimization of type-2 fuzzy systems based on bio-inspired methods: a concise review Information Sciences 205 2012 1 19
7. O. Castillo, P. Melin, A. Alanis, O. Montiel, and R. Sepulveda Optimization of interval type-2 fuzzy logic controllers using evolutionary algorithms Soft Computing 15 2011 1145 1160
8. O. Castillo, P. Melin, and W. Pedrycz Design of interval type-2 fuzzy models through optimal granularity allocation Applied Soft Computing 11 2001 5590 5601
9. A. Celikyilmaz, and I.B. Turksen Validation criteria for enhanced fuzzy clustering Pattern Recognition Letters 29 2008 97 108
10. M.S. Chen, and S.W. Wang Fuzzy clustering analysis for optimizing fuzzy membership functions Fuzzy Sets and Systems 103 2 1999 239 254
11. S. Coupland, and R. John New geometric inference techniques for type-2 fuzzy sets International Journal of Approximate Reasoning 49 1 2008 198 211
12. L.J. Deborah, R. Baskaran, and A. Kannan A survey on internal validity measure for cluster validation International Journal of Computer Science & Engineering Survey 1 2 2010 85 102
13. T. Dereli, A. Baykasoglu, K. Altun, A. Durmusoglu, and I.B. Turksen Industrial applications of type-2 fuzzy sets and systems: a concise review Computer in Industry 62 2011 125 137
14. D.J. Dubois, and H.M. Prade Fuzzy Sets and Systems 1980 Academic Press New York
15. J.C. Dunn A fuzzy relative of the ISODATA process and its use in detecting compact, well-separated clusters Journal of Cybernetics 3 3 1973 32 57
16. P. D'Urso, and A. Santoro Goodness of fit and variable selection in the fuzzy multiple regression Fuzzy Sets and Systems 157 2006 2627 2647
17. M.H. FazelZarandi, M.R. Faraji, and M. Karbasian Interval type-2 fuzzy expert system for prediction of carbon monoxide concentration in mega-cities Applied soft Computing 12 2012 291 301
18. M.H. Fazel Zarandi, E. Neshat, I.B. Turksen, A new cluster validity index for fuzzy clustering based on similarity measure, in: Proc. Joint Conf. of Rough Sets and Fuzzy Sets, Canada, 2007.
19. M.H. FazelZarandi, B. Rezaee, I.B. Turksen, and E. Neshat A type-2 fuzzy rule-based expert system model for stock price analysis Expert Systems with Applications 36 2009 139 154
20. Y. Fukuyama, M. Sugeno, A new method of choosing the number of cluster for fuzzy c-means method, in: Proc. 5th Fuzzy Systems, Symposium, 1989, pp. 247-250.
21. H. Hagras Dynamical optimal training for interval type-2 fuzzy neural network IEEE Transactions on Systems, Man, and Cybernetics, B, Cybernetics 36 5 2006 1206 1209
22. D. Hidalgo, P. Melin, and O. Castillo An optimization method for designing type-2 fuzzy inference systems based on the footprint of uncertainty using genetic algorithms Expert Systems with Applications 39 4 2012 4590 4598
23. F. Hoppner, F. Klawonn, R. Kruse, and T. Runkler Fuzzy Cluster Analysis: Methods for Classification, Data Analysis, and Image Recognition 1999 Wiley New York
24. C. Hwang, and F. Rhee Uncertain fuzzy clustering: interval type-2 fuzzy approach to c-means IEEE Transactions on Fuzzy Systems 15 1 2007 107 120
25. J.S.R. Jang ANFIS: adaptive-network-based fuzzy inference systems IEEE Transactions on Systems, Man, and Cybernetics 23 3 1993 665 685
26. N.K. Kasabov, and Q. Song DENFIS: dynamic evolving neural-fuzzy inference system and its application for time series prediction IEEE Transactions on Fuzzy Systems 10 2 2002 144 154
27. Y. Kim, D. Kim, D. Lee, and K.H. Lee A cluster validation index for GK cluster analysis based on a relative degree of sharing Information Sciences 168 2004 225 242
28. M. Kim, and R.S. Ramakrishna New indices for cluster validity assessment Pattern Recognition Letters 26 2005 2353 2363
29. R. Krishnapuram, and J.M. Keller A possibilistic approach to clustering IEEE Transactions on Fuzzy Systems 1 2 1993 98 109
30. C.C. Kung, C.C. Lin, A new cluster validity criterion for fuzzy C-regression model and its application to T-S fuzzy model identification, in: Proc. IEEE International Conference on Fuzzy Systems, 2004, pp. 1673-1678.
31. S.H. Kwon Cluster validity index for fuzzy clustering Electronics Letters 34 22 1998 2176 2177
32. Q. Liang, N.N. Karnik, and J.M. Mendel Connection admission control in ATM networks using survey-based type-2 fuzzy logic systems IEEE Transactions on Systems, Man, and Cybernetics, C 30 2000 329 339
33. Q. Liang, and J.M. Mendel Interval type-2 fuzzy logic systems: theory and design IEEE Transactions on Fuzzy Systems 8 5 2000 535 550
34. Q. Liang, and J.M. Mendel Equalization of non-linear time-varying co-channel interference using type-2 fuzzy adaptive filters IEEE Transactions on Fuzzy Systems 8 5 2000 551 563
35. Q. Liang, and J.M. Mendel Overcoming time-varying co-channel interference using type-2 fuzzy adaptive filters IEEE Transactions on Circuits and Systems 47 2000 1419 1429
36. Q. Liang, and J.M. Mendel MPEG VBR video traffic modeling and classification using fuzzy techniques IEEE Transactions on Fuzzy Systems 9 1 2001 183 193
37. W.W. Melek, A.A. Goldberg, and M.R. Emami A fuzzy noise rejection data partitioning algorithm International Journal of Approximate Reasoning 38 2005 1 17
38. P. Melin, O. Mendoza, and O. Castillo Face recognition with an improved interval type-2 fuzzy logic Sugeno integral and modular neural networks IEEE Transactions on Systems, Man, and Cybernetics 41 5 2011 1001 1012
39. J.M. Mendel Uncertain Rule-based Fuzzy Logic Systems: Theory and Design 2001 Prentice Hall Upper Saddle River
40. J.M. Mendel Type-2 fuzzy sets and systems: an overview IEEE Computational Intelligence Magazine 2 1 2007 20 29
41. J.M. Mendel, R.I. John, and F. Liu Interval type-2 fuzzy logic systems made simple IEEE Transactions on Fuzzy Systems 14 6 2006 808 821
42. G.M. Mendez, and M.L.A. Hernandez Hybrid learning mechanism for interval A2-C1 type-2 non-singleton type-2 Takagi-Sugeno-Kang fuzzy logic systems Information Sciences 220 2013 149 169
43. O. Oncu, and I.B. Turksen Discrete interval-valued type-2 fuzzy system models using uncertainty in learning parameters IEEE Transactions on Fuzzy Systems 15 2007 90 106
44. I. Ozkan, and I.B. Turksen MiniMax ε-stable cluster validity index for type-2 fuzziness Information Sciences 84 2012 64 74
45. N.K. Pal, and J.C. Bezdek On cluster validity for fuzzy c-means model IEEE Transactions on Fuzzy Systems 3 3 1995 370 379
46. A.E. Raftery, N. Dean, Variable selection for model-based clustering, Technical Report No. 452, Department of Statistics, University of Washington, 2004.
47. C.L. Ramirez, O. Castillo, P. Melin, and A. Rodriguez-Diaz Simulation of the bird age-structured population growth based on an interval type-2 fuzzy cellular structure Information Sciences 181 2011 519 535
48. B. Rezaee, and M.H. FazelZarandi Data-driven fuzzy modeling for Takagi-Sugeno-Kang fuzzy system Information Sciences 180 2010 241 255
49. R. Sepulveda, O. Castillo, P. Melin, A. Rodriguez-Diaz, and O. Montiel Experimental study of intelligent controllers under uncertainty using type-1 and type-2 fuzzy logic Information Sciences 177 2007 2023 2048
50. M. Sugeno, and T. Yasukawa A fuzzy-logic based approach to qualitative modeling IEEE Transactions on Fuzzy Systems 1 1 1993 7 31
51. H. Wu, and J.M. Mendel Uncertainty bounds and their use in the design of interval type-2 fuzzy logic systems IEEE Transactions on Fuzzy Systems 10 5 2002 622 639
52. D. Wu, and J.M. Mendel A vector similarity measure for linguistic approximation: interval type-2 fuzzy sets Information Sciences 178 2 2008 381 402
53. D. Wu, and J.M. Mendel A comparative study of ranking methods, similarity measures, and uncertainty measures for interval type-2 fuzzy sets Information Sciences 179 2009 1169 1192
54. D. Wu, W.W. Tan, A type-2 fuzzy logic controller for the liquid-level process, in: Proc. IEEE International Conference on Fuzzy Systems, Hungary, 2004, pp. 953-958.
55. K.L. Wu, and M.S. Yang A cluster validity index for fuzzy clustering Pattern Recognition Letters 26 2005 1275 1291
56. X.L. Xie, and G.A. Beni Validity measure for fuzzy clustering IEEE Transactions on Pattern Analysis and Machine Intelligence 3 8 1991 841 846
57. Q. Yu, E. S'everin, and A. Lendasse Variable Selection for Financial Modeling 2007 Computing in Economics and Finance Montreal, Canada
58. L.A. Zadeh The concept of linguistic variable and its application to approximate reasoning-1 Information Sciences 8 1975 199 249