Further exploration on relationship between crisp sets and fuzzy sets

2010 The 2nd International Conference on Computer and Automation Engineering, ICCAE 2010

Volumn 2, Issue , 2010, Pages 609-613

  Wang, Zhao Xia ^a,b   Wang, Quan ^a   Bai, Ming ^a   Chen, Zeng Qiang ^c   Sun, Zhen ^a  

^a TIANJIN UNIVERSITY OF TECHNOLOGY   (China)

^b NATIONAL UNIVERSITY OF SINGAPORE   (Singapore)

^c NANKAI UNIVERSITY   (China)

Author keywords

Crisp set; Fuzzify upgrade operator; Type 1 fuzzy set; Type 2 fuzzy set

Indexed keywords

FUZZIFY UPGRADE OPERATOR; HIGHER ORDER; TYPE-2 FUZZY SET;

FUZZY SETS;

FUZZY SET THEORY;

EID: 77952623942     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1109/ICCAE.2010.5451688     Document Type: Conference Paper

References (19)

1. L. Zadeh, "Fuzzy sets," Information Control, vol.8, pp. 338-353, 1965.
2. D. DuBois and H. Prade, Fuzzy sets and systems: theory and applications. Academic Pr, 1980.
3. L. Wang and J. Mendel, "Fuzzy basis functions, universal approximation, and orthogonalleast-squares learning," IEEE Transactions on Neural Networks, vol.3, no.5, pp. 807-814, 1992.
4. C. Su and Y. Stepanenko, "Adaptive control of a class of nonlinear systems with fuzzy logic," IEEE Transactions on Fuzzy Systems, vol.2,no. 4, pp. 285-294, 1994.
5. J. Castro, "Fuzzy logic controllers are universal approximators," Ieee Transactions on Systems Man and Cybernetics, vol.25, no.4, pp. 629- 635, 1995.
6. Z. Wang, Y. Sun, Z. Chen, and Z. Yuan, "The study of classifying network traffic using fuzzy neural networks," Computer Engineering and Applications, vol.40, no.228, p. 3C7, 2004.
7. Z. Wang, Y. Sun, Z. Chen, and Z. Yuan , "The study of predicting network traffic using fuzzy neural networks," Journal on Communication, vol.26, no.3, pp. 136-140,2005.
8. L. Zadeh, "The concept of a linguistic variable and its application to approximate reasoning," Information sciences, vol.8, no.3, pp. 199-249, 1975.
9. J. Mendel, "Type-2 fuzzy sets: some questions and answers," IEEE connections, vol.1, pp. 10-13, 2003.
10. J. Mendel, "Type-2 Fuzzy Sets and Systems: An Overview [corrected reprint],"IEEE Computational Intelligence Magazine, vol.2, no.2, pp.20-29, 2007.
11. J. Mendel, Uncertain rule-based fuzzy logic systems: introduction and new directions. Prentice Hall, 2000.
12. K. Wei, Z. Wang, and Q. Wang, "Describing fuzzy sets using a new concept: fuzzify functor," Optoelectronics Letters, vol.5, no.1, pp. 69-72, 2009.
13. N. Karnik, J. Mendel, and Q. Liang, "Type-2 fuzzy logic systems," IEEE Transactions on Fuzzy Systems, vol.7, no.6, pp. 643-658, 1999.
14. N. Karnik and J. Mendel, "Type-2 fuzzy logic systems: type-reduction," in 1998 IEEE International Conference on Systems, Man, and Cybernetics,1998, vol.2, 1998.
15. J. Mendel, "Uncertainty, fuzzy logic, and signal processing," Signal Processing, vol.80, no.6, pp. 913-933, 2000.
16. Q. Liang and J. Mendel, "Overcoming time-varying co-channel interference using type-2 fuzzy adaptive filters," IEEE Transactions on Circuit sand Systems II: Analog and Digital Signal Processing, vol.47, no.12,pp. 1419-1428, 2000.
17. D. Wu and J. Mendel, "Aggregation using the linguistic weighted average and interval type-2 fuzzy sets," IEEE Transactions on Fuzzy Systems, vol.15, no.6, pp. 1145-1161, 2007.
18. J. Mendel, "Advances in type-2 fuzzy sets and systems," Information Sciences, vol.177, no.1, pp. 84-110, 2007. (Pubitemid 44566500)
19. J. Mendel, R. John, and F. Liu, "Interval type-2 fuzzy logic systems made simple," IEEE Transactions on Fuzzy Systems, vol.14, no.6, pp. 808-821, 2006. (Pubitemid 46432460)