A 2uFunction representation for non-uniform type-2 fuzzy sets: Theory and design

International Journal of Approximate Reasoning

Volumn 54, Issue 2, 2013, Pages 273-289

  Molaeezadeh, Seyyedeh Fatemeh ^a   Moradi, Mohammad Hassan ^a  

^a AMIRKABIR UNIVERSITY OF TECHNOLOGY   (Iran)

Author keywords

2uFunction representation; Non uniform random variables; Non uniform type 2 fuzzy sets

Indexed keywords

2UFUNCTION REPRESENTATION; FUZZY LOGIC SYSTEM; HIGH-ORDER; MACKEY-GLASS TIME SERIES; NOISE SOURCE; NONSTATIONARY; ON-LINE APPLICATIONS; PREDICTION ERRORS; PROBABILITY THEORY; TYPE-2 FUZZY SET;

UNCERTAINTY ANALYSIS;

FUZZY SETS;

EID: 84873285912     PISSN: 0888613X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ijar.2012.08.009     Document Type: Article

References (62)

1. J.M. Mendel, IEEE Transactions on Fuzzy Systems Special Issue on Advances in Type-2 Fuzzy Sets and Systems, in: IEEE Computational Intelligence Magazine, 2012, pp. 75.
2. J.M. Mendel, R.I. John, and F. Liu Interval type-2 fuzzy logic systems made simple IEEE Transactions on Fuzzy Systems 14 2006 808 821 (Pubitemid 46432460)
3. Q. Liang, and J.M. Mendel Interval type-2 fuzzy logic systems: theory and design IEEE Transactions on Fuzzy Systems 8 2000 535 550
4. J.M. Mendel, and R.I.B. John Type-2 fuzzy sets made simple IEEE Transactions on Fuzzy Systems 10 2002 117 127 (Pubitemid 34554858)
5. S. Coupland, R. John, Geometric interval type-2 fuzzy systems, in: Proceedings of the Joint EUSFLAT-LFA, Barcelona, Spain, 2005, pp. 449-454.
6. N.N. Karnik, and J.M. Mendel Centroid of a type-2 fuzzy set Information Sciences 132 2001 195 220 (Pubitemid 32273094)
7. S. Greenfield, F. Chiclana, S. Coupland, and R. John The collapsing method of defuzzification for discretised interval type-2 fuzzy sets Information Sciences 179 2009 2055 2069
8. 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 2002 622 639 (Pubitemid 35274824)
9. C. Hwang, and F.C.-H. Rhee Uncertain fuzzy clustering: interval type-2 fuzzy approach to c-means IEEE Transaction on Fuzzy Systems 15 2007 107 120 (Pubitemid 46444307)
10. K. Santiago-Sánchez, C.A. Reyes-García, P. Gómez-Gil, Type-2 fuzzy sets applied to pattern matching for the classification of cries of infants under neurological risk, in: Emerging Intelligent Computing Technology and Applications Lecture Notes in Computer Science, 2009, pp. 201-210.
11. S.F. Molaeezadeh, M. Salarian, M.H. moradi, Type-2 fuzzy pattern matching for classifying hunger and pain cries of healthy full-term infants in: 16th CSI International Symposium on Artificial Intelligence and Signal Processing, Shiraz, 2012.
12. Q. Liang, MPEG VBR video traffic classification using Bayesian and nearest neighbor classifiers in: IEEE International Symposium on Circuits and Systems, 2002, pp. II-77-II-80.
13. J. Zeng, Z.-Q. Liu, Type-2 fuzzy sets for pattern classification: a review, in: Proceedings of the 2007 IEEE Symposium on Foundations of Computational Intelligence (FOCI 2007), 2007, pp. 193-200. (Pubitemid 47447734)
14. U. Mahmood, A. Al-Jumaily, M.m. Al-Jaafreh, Type-2 fuzzy classification of blood pressure parameters in: IEEE ISSNIP, 2007, pp. 595-600.
15. A. Celikyilmaz, I.B. Turksen, Genetic type-2 fuzzy classifier functions, in: Annual Meeting of the North American Fuzzy Information Processing Society (NAFIPS 2008), 2008, pp. 1-6.
16. J. Sanz, A. Fernández, H. Bustince, and F. Herrera A genetic tuning to improve the performance of Fuzzy Rule-Based Classification Systems with Interval-Valued Fuzzy Sets: Degree of ignorance and lateral position International Journal of Approximate Reasoning 52 2011 751 766
17. O. Castillo, and P. Melin Type-2 Fuzzy Logic: Theory and Applications 2008 springer
18. P. Melin, J. Urias, D. Solano, M. Soto, M. Lopez, and O. Castillo Voice recognition with neural networks, type-2 fuzzy logic and genetic algorithms Journal of Engineering Letters 13 2006 108 116
19. 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-Part A: Systems and Humans 41 2011 1001 1012
20. J. Zeng, L. Xie, and Z.h.-Q. Liu Type-2 fuzzy Gaussian mixture models Pattern Recognition 4 2008 3636 3643
21. J. Zeng, and Z.-Q. Liu Type-2 fuzzy hidden Markov models and their application to speech recognition IEEE Transactions on Fuzzy Systems 4 2006 454 467 (Pubitemid 43898887)
22. N.N. Karnik, and J.M. Mendel Applications of type-2 fuzzy logic systems to forecasting of time-series Information Sciences 120 1999 89 111 (Pubitemid 30531039)
23. 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 2012 4590 4598
24. A. Mencattini, M. Salmeri, S. Bertazzoni, R. Lojacono, E. Pasero, W. Moniaci, Local Meteorological forecasting by type-2 fuzzy systems time series prediction, in: IEEE International Conference on Computational Intelligence for Measurement Systems and Applications, Giardini Naxos, Italy, 2005.
25. A. Mencattini, M. Salmeri, Meteorological forecasting using type-2 fuzzy logic systems, in: J.J. Zhu, G.P.C. Fung (Eds.), Forecasting Models-Methods and Applications, Createspace, 2010, pp. 13-28.
26. M.m.O. Al-Jaafreh, A.A. Al-Jumaily, Type-2 fuzzy system based blood pressure parameters estimation in: Second Asia International Conference on Modelling & Simulation, 2008, pp. 953-958.
27. O. Castillo, and P. Melin A review on the design and optimization of interval type-2 fuzzy controllers Applied Soft Computing 12 2012 1267 1278
28. C. Leal-Ramírez, O. Castillo, P. Melin, and A. Rodríguez-Díaz Simulation of the bird age-structured population growth based on an interval type-2 fuzzy cellular structure Information Sciences 181 2011 519 535
29. L.A. Zadeh The concept of a linguistic variable and its application to approximate reasoning-I Information Sciences 8 1975 199 249
30. J.T. Starczewski, A triangular type-2 fuzzy logic system, in: IEEE International Conference on Fuzzy Systems, Vancouver, BC 2006, pp. 1460-1467. (Pubitemid 46948944)
31. J.T. Starczewski Efficient triangular type-2 fuzzy logic systems International Journal of Approximate Reasoning 50 2009 799 811
32. S. Coupland, and R. John New geometric inference techniques for type-2 fuzzy sets International Journal of Approximate Reasoning 49 2008 198 211
33. L.A. Lucas, T.M. Centeno, M.R. Delgado, General type-2 fuzzy inference systems: analysis, design and computational aspects, in: IEEE International Conference on Fuzzy Systems, London 2007, pp. 1-6.
34. J.M. Mendel, F. Liu, On new quasi-type-2 fuzzy logic systems, in: IEEE International Conference on Fuzzy Systems, Hong Kong, 2008.
35. J.M. Mendel, F. Liu, and D. Zhai α-Plane representation for type-2 fuzzy sets: theory and applications IEEE Transactions on Fuzzy Systems 17 2009 1189 1207
36. F. Liu An efficient centroid type-reduction strategy for general type-2 fuzzy logic system Information Sciences 178 2008 2224 2236
37. C. Wagner, H. Hagras, zSlices - towards bridging the gap between interval and general type-2 fuzzy logic, in: IEEE International Conference on Fuzzy Systems, Hong Kong, 2008, pp. 489-497.
38. C. Wagner, and H. Hagras Toward general type-2 fuzzy logic systems based on zSlices IEEE Transactions on Fuzzy Systems 18 2010 637 660
39. L. Devroye Non-Uniform Random Variate Generation 1986 Springer-Verlag New York
40. A. Papoulis Probability, Random Variables, and Stochastic Processes third ed. 1991 McGraw-Hill New York
41. G.E.P. Box, and M.E. Muller A note on the generation of random normal deviates Annals of Mathematical Statistics 29 1958 610 611
42. L.A. Zadeh Fuzzy sets Information and Control 8 1965 338 353
43. S. Coupland, and R. John Geometric type-1 and type-2 fuzzy logic systems IEEE Transaction on Fuzzy Systems 15 2007 3 15 (Pubitemid 46444300)
44. S. Coupland, and R. John A fast geometric method for defuzzification of type-2 fuzzy sets IEEE Transactions on Fuzzy Systems 16 2008 929 941
45. J.M. Mendel, Type-2 fuzzy sets and systems: an overview, in: IEEE Computational Intelligence Magazine, 2007, pp. 20-29.
46. L.A. Lucas, T.M. Centeno, M.R. Delgado, General type-2 fuzzy classifiers to land cover classification, in: Proceedings of the 2008 ACM symposium on Applied Computing (SAC'08), 2008, pp. 1743-1747.
47. M.I. Ribeiro, Gaussian Probability Density Functions: Properties and Error Characterization, Institute for Systems and Robotics, Lisboa, Portugal, Technical Report, 2004.
48. C. Carlsson, R. Fuller, P. Majlender, An extension principle for interactive fuzzy numbers, in: Proceedings of the Fourth International Symposium of Hungarian Researchers on Computational Intelligence, Budapest, November 13-14, 2003, pp. 113-118.
49. J.-S.R. Jang ANFIS: adaptive-network-based fuzzy inference system IEEE Transactions on Systems, Man and Cybernetics 23 1993 665 685
50. A. Gholipour, B.N. Araab, and C. Lucas Predicting chaotic time series using neural and neurofuzzy models: a comparative study Neural Processing Letters 24 2006 217 239 (Pubitemid 44673845)
51. L. Herrera, H. Pomares, I. Rojas, O. Valenzuela, and A. Prieto Tase, a taylor series based fuzzy system model that combines interpretability and accuracy Fuzzy Sets and Systems 153 2005 403 427 (Pubitemid 40682457)
52. Q. Liang Ad hoc wireless network traffic - self-similarity and forecasting IEEE Comunications Letters 6 2002
53. H. Saima, J. Jaafar, S. Belhaouari, and T.A. Jillani ARIMA based interval type-2 fuzzy model for forecasting International Journal of Computer Applications 28 2011 17 21
54. J.R. Castro, O. Castillo, P. Melin, and A. Rodríguez-Díaz A hybrid learning algorithm for a class of interval type-2 fuzzy neural networks Information Sciences 179 2009 2175 2193
55. M. Almaraashi, R. John, Tuning of type-2 fuzzy systems by simulated annealing to predict time series, in: Proceedings of the World Congress on Engineering 2011.
56. J.M. Mendel Uncertain Rule-Based Fuzzy Logic Systems: Introduction and New Directions 2001 Prentice-Hall
57. M.C. Mackey, and L. Glass Oscillation and chaos in physiological control systems Science 197 1977 287 289 (Pubitemid 8130447)
58. D. Quinney An Introduction to the Numerical Solution of Differential Equations 1987 Research Studies Press
59. R. But Introduction to Numerical Analysis Using Matlab first ed. 2009 Jones and Bartlett Publishers
60. L.X. Wang, and J.M. Mendel Generating fuzzy rules by learning from examples IEEE Transactions on Systems, Man, and Cybernetics 22 1992 1414 1427
61. Z. Daoyuan, and J.M. Mendel Computing the centroid of a general type-2 fuzzy set by means of the centroid-flow algorithm IEEE Transactions on Fuzzy Systems 19 2011 401 422
62. L.-X. Wang A Course in Fuzzy Systems and Control 1997 Prentice-Hall International