Advantages of the enhanced opposite direction searching algorithm for computing the centroid of an interval type-2 fuzzy set

Asian Journal of Control

Volumn 14, Issue 5, 2012, Pages 1422-1430

  Hu, Huaizhong ^a   Wang, Yong ^a   Cai, Yuanli ^a  

^a XI'AN JIAOTONG UNIVERSITY   (China)

Author keywords

centroid; Interval Type 2 Fuzzy Set; Type reduction

Indexed keywords

FUZZY SETS;

CENTROID; HIGH SPEED; INTERVAL TYPE-2 FUZZY SETS; INTERVAL TYPE2 FUZZY SET (IT2 FS); MATHEMATICAL OPERATIONS; SEARCHING ALGORITHMS; TYPE REDUCTION; TYPE-2 FUZZY LOGIC SYSTEM;

FUZZY LOGIC;

EID: 84866670131     PISSN: 15618625     EISSN: 19346093     Source Type: Journal    
DOI: 10.1002/asjc.477     Document Type: Article

References (13)

1. Greenfield, S., F. Chiclana, S. Coupland, and, R. I. John, " The collapsing method of defuzzification for discretised interval type-2 fuzzy sets," Inform. Sci. Special Section on Higher Order Fuzzy Sets, Vol. 179, No. 13, pp. 2055-2069 (2008).
2. Greenfield, S., R. I. John, and, S. Coupland, " A novel sampling method for type-2 defuzzification," In Proc. UKCI 2005, London, pp. 120-127 (2005).
3. Hu, H. Z., G. Zhao, and, H. N. Yang, " Fast algorithm to calculate generalized centroid of interval type-2 fuzzy set, " Control Decis., Vol. 25, No. 4, pp. 637-640 (2010).
4. Karnik, N. N., and, J. M. Mendel, " Centroid of a type-2 fuzzy set," Inform. Sci., Vol. 132, No. 1, pp. 195-220 (2001). (Pubitemid 32273094)
5. Li, C., J. Yi, and, D. Zhao, " A novel type-reduction method for interval type-2 fuzzy logic systems," Fifth International Conference on Fuzzy Systems and Knowledge Discovery, Shandong, China, pp. 157-161 (2008).
6. Melgarejo, M., " A fast recursive method to compute the generalized centroid of an interval type-2 fuzzy set," Proc. NAFIPS'07 Annual Meeting of the North American Fuzzy Information Processing Society 2007, pp. 190-194 (2007). (Pubitemid 47533958)
7. Mendel, J. M., and, R. I. John, " Type-2 fuzzy sets made simple," IEEE Trans. Fuzzy Syst., Vol. 10, No. 2, pp. 117-127 (2002). (Pubitemid 34554858)
8. Mendel, J. M., and, R. I. John, " Interval type-2 fuzzy logic systems made simple," IEEE Trans. Fuzzy Syst., Vol. 14, No. 6, pp. 808-821 (2006). (Pubitemid 46432460)
9. Mendel, J. M., and, F. Liu, " Super-exponential convergence of the Karnik-Mendel algorithms used for type-reduction in interval type-2 fuzzy logic systems," Proc. 2006 IEEE Int. Conf. Fuzzy Syst., pp. 6603-6610 (2006).
10. Mendel, J. M., and, H. Wu, " New results about the centroid of an interval type-2 fuzzy set, including the centroid of a fuzzy granule," Inform. Sci., Vol. 177, pp. 360-377 (2007). (Pubitemid 44634440)
11. Nie, M., and, W. W. Tan, " Towards an efficient type-reduction method for interval type-2 fuzzy logic systems," Proc. FUZZ-IEEE 2008, Hong Kong, pp. 1425-1432 (2008).
12. Wu, D., and, J. M. Mendel, " Enhanced Karnik-Mendel algorithms," IEEE Trans. Fuzzy Syst., Vol. 17, No. 4, pp. 923-934 (2009).
13. Wu, H., and, J. M. Mendel, " Uncertainty bounds and their use in the design of interval type-2 fuzzy logic systems," IEEE Trans. Fuzzy Syst., Vol. 10, No. 5, pp. 622-639 (2002). (Pubitemid 35274824)