Computing with words in generalized interval type-2 fuzzy sets

Zidonghua Xuebao/Acta Automatica Sinica

Volumn 38, Issue 5, 2012, Pages 707-715

  Mo, Hong ^a   Wang, Tao ^b  

^a CHANGSHA UNIVERSITY OF SCIENCE AND TECHNOLOGY   (China)

^b NATIONAL UNIVERSITY OF DEFENSE TECHNOLOGY   (China)

Author keywords

Computing with words; Extension principle; Footprint of uncertainty (FOU); Generalized interval type 2 fuzzy sets (GIT2 FS)

Indexed keywords

COMPUTING METHODS; COMPUTING WITH WORD (CWW); EXTENSION PRINCIPLES; FOOTPRINT OF UNCERTAINTIES; FUZZY LOGIC OPERATORS; GENERALIZED INTERVAL; MATHEMATICAL REPRESENTATIONS; TYPE-2 FUZZY SET;

FUZZY LOGIC; SOFT COMPUTING;

FUZZY SETS;

EID: 84861712810     PISSN: 02544156     EISSN: None     Source Type: Journal    
DOI: 10.3724/SP.J.1004.2012.00707     Document Type: Article

References (29)

1. Zadeh L A. Fuzzy logic = computing with words. IEEE Transactions on Fuzzy Systems, 1996, 4(2): 103-111
2. Adolfo R de Soto. A hierarchical model of a linguistic variable. Information Sciences, 2011, 181(20): 4394-4408
3. Cao Y Z, Chen G Q. A fuzzy petri-nets model for computing with words. IEEE Transactions on Fuzzy Systems, 2010, 18(3): 486-499
4. Aisbett J, Rickard J T, Morgenthaler D. Multivariate modeling and type-2 fuzzy sets. Fuzzy Sets and Systems, 2011, 163(1): 78-95
5. Wu D R, Mendel J M. Computing with words for hierarchical decision making applied to evaluating a weapon system. IEEE Transactions on Fuzzy Systems, 2010, 18(3): 441-460
6. Herrera F, Alonso S, Chiclana F, Herrera-Viedma E. Computing with words in decision making: foundations, trends and prospects. Fuzzy Optimization and Decision Making, 2009, 8(4): 337-364
7. Mo H, Wang F Y. Linguistic dynamic systems based on computing with words and their stabilities. Science in China Series F - Information Sciences, 2009, 52(5): 780-796
8. Wang F Y. Outline of a computational theory for linguistic dynamic systems: toward computing with words. International Journal of Intelligent Control and Systems, 1998, 2(2): 211-224
9. Wang Fei-Yue. Fundamental issues in research of computing with words and linguistic dynamic systems. Acta Automatica Sinica, 2005, 31(6): 844-852
10. Rubin S H. Computing with words. IEEE Transactions on Systems, Man, and Cybernetics-Part B: Cybernetics, 1999, 29(4): 518-524
11. Zadeh L A. Outline of a new approach to the analysis of complex systems and decision processes. IEEE Transactions on Systems, Man, and Cybernetics, 1973, SCM-3(1): 28-44
12. Li Jia-Ning, Yi Jian-Qiang, Zhao Dong-Bin, Xi Guang-Cheng. A new fuzzy identification approach for complex systems based on neural-fuzzy inference network. Acta Automatica Sinica, 2006, 32(5): 695-703
13. Mendel J M. Uncertain Rule-Based Fuzzy Logic Systems: Introduction and New Directions. Upper-Saddle River, NJ: Prentice-Hall PTR, 2001
14. Wang F Y. Modeling, analysis and synthesis of linguistic dynamic systems: a computational theory. In: Proceedings of IEEE International Workshop on Architecture for Semiotic Modeling and Situation Control in Large Complex Systems. Monterey, CA: IEEE, 1995. 173-178
15. Mendel J M, John RIB. Type-2 fuzzy sets made simple. IEEE Transactions on Fuzzy Systems, 2002, 10(2): 117-127
16. Uncu O, Turksen I B. Discrete interval type 2 fuzzy system models using uncertainty in learning parameters. IEEE Transactions on Fuzzy Systems, 2007, 15(1): 90-106
17. Pan Yong-Ping, Huang Dao-Ping, Sun Zong-Hai. Overview of type-2 fuzzy logic control. Control Theory and Application, 2011, 28(1): 13-23
18. Zhang Wei-Bin, Hu Huai-Zhong, Liu Wen-Jiang. Traffic flow forecast based on type-2 fuzzy logic approach. Journal of Xi'an Jiaotong University, 2007, 41(10): 1160-1164
19. Li Cheng-Dong, Yi Jian-Qiang, Yu Yi, Zhao Dong-Bin. Inverse control of cable-driven parallel mechanism using type-2 fuzzy neural network. Acta Automatica Sinica, 2010, 36(3): 459-464
20. Hagras H. Type-2 FLCs: a new generation of fuzzy controllers. IEEE Computational Intelligence Magazine, 2007, 2(1): 30-43
21. Lin P Z, Lin C M, Hsu C F, Lee T T. Type-2 fuzzy controller design using a sliding-mode approach for application to DC-DC converters. IEEE Proceedings: Electric Power Applications, 2005, 152(6): 1482-1488
22. Mo Hong, Wang Fei-Yue, Zhao Liang. LDS trajectories under one-to-one mapping in interval type-2 fuzzy sets. Pattern Recognition and Artificial Intelligence, 2010, 23(2): 144-147
23. Mo Hong, Wang Fei-Yue, Xiao Zhi-Quan, Chen Qian. Stabilities of linguistic dynamic systems based on interval type-2 fuzzy sets. Acta Automatica Sinica, 2011, 37(8): 1018-1024
24. Wu D R, Mendel J M. Aggregation using the linguistic weighted average and interval type-2 fuzzy sets. IEEE Transactions on Fuzzy Systems, 2007, 15(6): 1145-1161
25. Mendel J M. An architecture for making judgments using computing with words. International Journal of Applied Mathematics and Computer Sciences, 2002, 12(3): 325-335
26. Wu Q H, Yu D, Xie Z X, Liu J F. Fuzzy probabilistic approximation spaces and their information measures. IEEE Transactions on Fuzzy Systems, 2006, 14(2): 191-201
27. Zadeh L A. The concept of a linguistic variable and its application to approximate reasoning-I. Information Sciences, 1975, 8(3): 199-249
28. Wang Xiao-Bo. Decomposition theorem of type-2 fuzzy sets. Fuzzy Mathematics, 1983, (1): 9-13
29. Zadeh L A. Soft computing and fuzzy logic. IEEE Software, 1994, 11(6): 48-56