Fuzzy decision making systems based on interval type-2 fuzzy sets

Information Sciences

Volumn 242, Issue , 2013, Pages 1-21

  Chen, Shyi Ming ^a   Wang, Cheng Yi ^a  

^a NATIONAL TAIWAN UNIVERSITY OF SCIENCE AND TECHNOLOGY   (Taiwan)

Author keywords

Fuzzy multiple attributes decision making; Fuzzy ranking method; Generalized fuzzy number; Interval type 2 fuzzy set

Indexed keywords

ATTITUDE TOWARDS RISKS; DECISION MAKERS; FUZZY DECISION MAKING; FUZZY MULTIPLE-ATTRIBUTE; FUZZY RANKING METHOD; GENERALIZED FUZZY NUMBERS; INTERVAL TYPE-2 FUZZY SETS; PREFERENCE ORDER;

DECISION MAKING;

FUZZY SETS;

EID: 84878109895     PISSN: 00200255     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ins.2013.04.005     Document Type: Article

References (79)

1. S. Abbasbandy, and B. Asady Ranking of fuzzy numbers by sign distance Information Sciences 176 16 2006 2405 2416
2. S. Abbasbandy, and T. Hajjari A new approach for ranking of trapezoidal fuzzy numbers Computers and Mathematics with Applications 57 3 2009 413 419
3. B. Asady, and A. Zendehnam Ranking fuzzy numbers by distance minimization Applied Mathematical Modelling 31 11 2007 2589 2598
4. L. Astudillo, O. Castillo, and L.T. Aguilar Intelligent control for a perturbed autonomous wheeled mobile robot: a type-2 fuzzy logic approach Journal of Nonlinear Studies 14 3 2007 37 48
5. K.T. Atanassov Intuitionistic fuzzy sets Fuzzy Sets and Systems 20 1 1986 87 96
6. S. Auephanwiriyakul, A. Adrian, J.M. Keller, Type-2 fuzzy set analysis in management surveys, in: Proceedings of the 2002 IEEE International Conference on Fuzzy Systems, Honolulu, HI, 2002, pp. 1321-1325.
7. P. Baguley, T. Page, V. Koliza, and P. Maropoulos Time to market prediction using type-2 fuzzy sets Journal of Manufacturing Technology Management 17 4 2006 513 520
8. A. Bouchachia, R. Mittermeir, A neural cascade architecture for document retrieval, in: Proceedings of the International Joint Conference Neural Networks, vol. 3, Portland, OR, 2003, pp. 1915-1920.
9. O. Castillo, N. Cazarez, P. Melin, Design of stable type-2 fuzzy logic controllers based on a fuzzy Lyapunov approach, in: Proceedings of the 2006 IEEE International Conference on Fuzzy Systems, Vancouver, Canada, 2006, pp. 2331-2336.
10. O. Castillo, P. Melin, Adaptive noise cancellation using type-2 fuzzy logic and neural networks, in: Proceedings of the 2004 IEEE International Conference on Fuzzy Systems, vol. 2, 2004, pp. 1093-1098.
11. O. Castillo, P. Melin, Evolutionary computing for optimizing type-2 fuzzy logic systems in intelligent control of non-linear dynamic plants, in: Proceedings of the North American Fuzzy Information Processing Society (NAFIPS), Ann Arbor, MI, 2005, pp. 247-251.
12. O. Castillo, and P. Melin J. Kacprzyk, Type-2 Fuzzy Logic: Theory and Applications 2008 Springer-Verlag Berlin, Heidelberg
13. O. Castillo, and P. Melin A review on the design and optimization of interval type-2 fuzzy controllers Applied Soft Computing 12 4 2012 1267 1278
14. 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
15. O. Castillo, P. Melin, and W. Pedrycz Design of interval type-2 fuzzy models through optimal granularity allocation Applied Soft Computing 11 8 2011 5590 5601
16. N.R. Cazarez-Castro, L.T. Aguilar, and O. Castillo Designing type-1 and type-2 fuzzy logic controllers via fuzzy Lyapunov synthesis for nonsmooth mechanical systems Engineering Applications of Artificial Intelligence 25 5 2012 971 979
17. L.H. Chen, and H.W. Lu An approximate approach for ranking fuzzy numbers based on left and right dominance Computers and Mathematics with Applications 41 12 2001 1589 1602
18. S.H. Chen Ranking fuzzy numbers with maximizing set and minimizing set Fuzzy Sets and Systems 17 2 1985 113 129
19. S.M. Chen, and J.H. Chen Fuzzy risk analysis based on ranking generalized fuzzy numbers with different heights and different spreads Expert Systems with Applications 36 3 2009 6833 6842
20. S.M. Chen, and L.W. Lee Fuzzy multiple criteria hierarchical group decision-making based on interval type-2 fuzzy sets IEEE Transactions on Systems, Man, and Cybernetics-Part A: Systems and Humans 40 5 2010 1120 1128
21. S.M. Chen, and L.W. Lee Fuzzy decision-making based on likelihood-based comparison relations IEEE Transactions on Fuzzy Systems 18 3 2010 613 628
22. S.M. Chen, and L.W. Lee Fuzzy multiple attributes group decision-making based on the ranking values and the arithmetic operations of interval type-2 fuzzy sets Expert Systems with Applications 37 1 2010 824 833
23. S.M. Chen, and L.W. Lee Fuzzy multiple attributes group decision-making based on the interval type-2 TOPSIS method Expert Systems with Applications 37 4 2010 2790 2798
24. S.M. Chen, and K. Sanguansat Analyzing fuzzy risk based on a new fuzzy ranking method between generalized fuzzy numbers Expert Systems with Applications 38 3 2011 2163 2171
25. S.M. Chen, C.Y. Wang, A new method for fuzzy decision-making based on ranking generalized fuzzy numbers and interval type-2 fuzzy sets, in: Proceedings of the IEEE International Conference on Machine Learning and Cybernetics, Guilin, Guangxi, China, 2011, pp. 131-136.
26. T.Y. Chen Optimistic and pessimistic decision making with dissonance reduction using interval-valued fuzzy sets Information Sciences 181 3 2011 479 502
27. T.Y. Chen Bivariate models of optimism and pessimism in multi-criteria decision-making based on intuitionistic fuzzy sets Information Sciences 181 11 2011 2139 2165
28. C.H. Cheng A new approach for ranking fuzzy numbers by distance method Fuzzy Sets and Systems 95 3 1998 307 317
29. T.C. Chu, and C.T. Tsao Ranking fuzzy numbers with an area between the centroid point and original point Computers and Mathematics with Applications 43 1 2002 111 117
30. D. Dubois, and H. Prade Ranking of fuzzy numbers in the setting of possibility theory Information Sciences 30 3 1983 183 224
31. J. Figueroa, J. Posada, J. Soriano, M. Melgarejo, S. Rojas, A type-2 fuzzy controller for tracking mobile objects in the context of robotic soccer games, in: Proceedings of the 2005 IEEE International Conference on Fuzzy Systems, Reno, NV, 2005, pp. 359-364.
32. L. Gu, and Y.Q. Zhang Web shopping expert using new interval type-2 fuzzy reasoning Soft Computing 11 8 2007 741 751
33. K. Guo, and W. Li An attitudinal-based method for constructing intuitionistic fuzzy information in hybrid MADM under uncertainty Information Sciences 208 2012 28 38
34. H. Hagras Type-2 FLCs: a new generation of fuzzy controllers IEEE Computational Intelligence Magazine 2 1 2007 30 43
35. 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
36. V.N. Huynh, Y. Nakamori, and J. Lawry A probability-based approach to comparison of fuzzy numbers and applications to target-oriented decision making IEEE Transactions on Fuzzy Systems 16 2 2008 371 387
37. N.N. Karnik, J.M. Mendel, and Q. Liang Type-2 fuzzy logic systems IEEE Transactions on Fuzzy Systems 7 6 1999 643 658
38. K. Kim, and K.S. Park Ranking fuzzy numbers with index of optimism Fuzzy Sets and Systems 35 2 1990 143 150
39. C.H. Lee, Y.C. Lin, Control of nonlinear uncertain systems using type-2 fuzzy neural network and adaptive filter, in: Proceedings of the 2004 IEEE International Conference on Networking, Sensing and Control, vol. 2, Taipei, Taiwan, 2004, pp. 1177-1182.
40. Q. Liang, L. Wang, Sensed signal strength forecasting for wireless sensors using interval type-2 fuzzy logic systems, in: Proceedings of the 2005 IEEE International Conference on Fuzzy Systems, Reno, NV, 2005, pp. 25-30.
41. P.Z. Lin, C.F. Hsu, T.T. Lee, Type-2 fuzzy logic controller design for buck DC-DC converters, in: Proceedings of the 2005 IEEE International Conference on Fuzzy Systems, Reno, NV, 2005, pp. 365-370.
42. O. Linda, and M. Manic Interval type-2 fuzzy voter design for fault tolerant systems Information Sciences 181 14 2011 2933 2950
43. T.S. Liou, and M.J. Wang Ranking fuzzy numbers with integral value Fuzzy Sets and Systems 50 3 1992 247 255
44. F. Liu, J.M. Mendel, An interval approach to fuzzistics for interval type-2 fuzzy sets, in: Proceedings of the 2007 IEEE International Conference on Fuzzy Systems, UK, 2007, pp. 1-6.
45. P. Liu, and Y. Su Multiple attribute decision making method based on the trapezoid fuzzy linguistic hybrid harmonic averaging operator Informatica 36 1 2012 83 90
46. Y. Liu, Z.P. Fan, and Y. Zhang A method for stochastic multiple criteria decision making based on dominance degrees Information Sciences 181 19 2011 4139 4153
47. C. Lynch, H. Hagras, V. Callaghan, Using uncertainty bounds in the design of an embedded real-time type-2 neuro-fuzzy speed controller for marine diesel engines, in: Proceedings of the 2006 IEEE International Conference on Fuzzy Systems, Vancouver, Canada, 2006, pp. 7217-7224.
48. M. Margaliot, G. Langholz, Adaptive fuzzy controller design via fuzzy Lyapunov synthesis, in: Proceedings of the 1998 IEEE International Conference on Fuzzy Systems, vol. 1, 1998, pp. 354-359.
49. P. Melin, and O. Castillo An intelligent hybrid approach for industrial quality control combining neural networks, type-2 fuzzy logic and fractal theory Information Sciences 177 7 2007 1543 1557
50. 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 5 2011 1001 1012
51. 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 2 2006 108 116
52. J.M. Mendel An architecture for making judgements using computing with words International Journal of Applied Mathematics and Computer Science 12 3 2002 325 335
53. J.M. Mendel Uncertain Rule-Based Fuzzy Logic Systems: Introduction and New Directions 2001 Prentice-Hall Upper Saddle River, NJ
54. J.M. Mendel, R.I. John, and F.L. Liu Interval type-2 fuzzy logical systems made simple IEEE Transactions on Fuzzy Systems 14 6 2006 808 821
55. J.M. Mendel, H. Wu, Centroid uncertainty bounds for interval type-2 fuzzy sets: forward and inverse problems, in: Proceedings of the 2004 IEEE International Conference on Fuzzy Systems, vol. 2, Budapest, Hungary, 2004, pp. 947-952.
56. A. Niewiadomski, M. Bartyzel, Elements of type-2 semantics in summarizing databases, in: Proceedings of the 8th International Conference on Artificial Intelligence and Soft Computing, vol. 4029, 2006, 278-287.
57. A. Niewiadomski, P.S. Szczepaniak, News generating based on type-2 linguistic summaries of databases, in: Proceedings of the 2006 International Conference on Information Processing and Management of Uncertainty in Knowledge-Based Systems, Paris, France, 2006, pp. 1324-1331.
58. C.M. Own, H.H. Tsai, P.T. Yu, and Y.J. Lee Adaptive type-2 fuzzy median filter design for removal of impulse noise Imaging Science 54 1 2006 3 18
59. T. Ozen, J.M. Garibaldi, Effect of type-2 fuzzy membership function shape on modelling variation in human decision making, in: Proceedings of the 2004 IEEE International Conference on Fuzzy Systems, Budapest, Hungary, 2004, pp. 971-976.
60. F.C.H. Rhee Uncertainty fuzzy clustering: insights and recommendations IEEE Computational Intelligence Magazine 2 1 2007 44 56
61. 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 10 2007 2023 2048
62. P. Sevastjanov, and P. Figat Aggregation of aggregating modes in MCDM: synthesis of type 2 and level 2 fuzzy sets Omega 35 5 2007 505 523
63. H. Shu, Q. Liang, Wireless sensor network lifetime analysis using interval type-2 fuzzy logic systems, in: Proceedings of the 2005 IEEE International Conference on Fuzzy Systems, Reno, NV, 2005, pp. 19-24.
64. Y.M. Wang, and Y. Luo Area ranking of fuzzy numbers based on positive and negative ideal points Computers and Mathematics with Applications 58 9 2009 1769 1779
65. Z.X. Wang, Y.J. Liu, Z.P. Fan, and B. Feng Ranking L-R fuzzy number based on deviation degree Information Sciences 179 13 2009 2070 2077
66. D. Wu, and J.M. Mendel Aggregation using the linguistic weighted average and interval type-2 fuzzy sets IEEE Transactions on Fuzzy Systems 15 6 2007 1145 1666
67. D. Wu, and J.M. Mendel Uncertainty measures for interval type-2 fuzzy sets Information Sciences 177 23 2007 5378 5393
68. 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 8 2009 1169 1192
69. H. Wu, J.M. Mendel, Antecedent connector word models for interval type-2 fuzzy logic systems, in: Proceedings of the 2004 IEEE International Conference on Fuzzy Systems, vol. 2, Budapest, Hungary, 2004, pp. 1099-1104.
70. D. Wu, and W.W. Tan A simplified type-2 fuzzy controller for real-time control ISA Transactions 45 4 2006 503 516
71. D. Wu, and W.W. Tan Genetic learning and performance evaluation of type-2 fuzzy logic controllers Engineering Applications of Artificial Intelligence 19 8 2006 829 841
72. Z.S. Xu, An approach based on similarity measure to multiple attribute decision making with trapezoid fuzzy linguistic variables, in: Proceedings of the 2005 Second International Conference on Fuzzy Systems and Knowledge Discovery, Changsha, China, 2005, pp. 110-117.
73. R.R. Yager Fuzzy subsets of type-2 in decisions Journal of Cybernetics 10 1980 137 159
74. R.R. Yager Decision making with fuzzy probability assessments IEEE Transactions on Fuzzy Systems 7 4 1999 462 467
75. R.R. Yager Including decision attitude in probabilistic decision making International Journal of Approximate Reasoning 21 1 1999 1 21
76. R.R. Yager Fuzzy modeling for intelligent decision making under uncertainty IEEE Transactions on Systems, Man, and Cybernetics-Part B: Cybernetics 30 1 2000 60 70
77. J. Yao, and K. Wu Ranking fuzzy numbers based on decomposition principle and signed distance Fuzzy Sets and Systems 116 2 2000 275 288
78. L.A. Zadeh Fuzzy sets Information and Control 8 1965 338 353
79. J. Zeng, and Z.O. Liu Type-2 fuzzy hidden Markov models and their applications to speech recognition IEEE Transactions on Fuzzy Systems 14 3 2006 454 467