Centroid of a general type-2 fuzzy set computed by means of the centroid-flow algorithm

2010 IEEE World Congress on Computational Intelligence, WCCI 2010

Volumn , Issue , 2010, Pages

  Zhai, Daoyuan ^a   Mendel, Jerry M ^a  

^a University of Southern California ^*  (United States)

Author keywords

Centroid; Centroid Flow algorithm; Enhanced Karnik Mendel algorithms; General type 2 fuzzy set; Karnik Mendel algorithms

Indexed keywords

CENTROID; ENHANCED KARNIK-MENDEL ALGORITHMS; FLOW ALGORITHM; KARNIK-MENDEL ALGORITHMS; TYPE-2 FUZZY SET;

ARTIFICIAL INTELLIGENCE; FUZZY SETS;

ALGORITHMS;

EID: 78549287855     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1109/FUZZY.2010.5584547     Document Type: Conference Paper

References (28)

1. Q. Chen and S. Kawase, "On fuzzy-valued fuzzy reasoning," Fuzzy Sets and Systems, vol. 113, pp. 237-251, 2000.
2. S. Coupland, "Type-2 fuzzy sets: geometric defuzzification and type-reduction," in Proc. of IEEE Symposium on Foundations of Computational Intelligence, Honolulu, 2007, pp. 622-629. (Pubitemid 47447799)
3. S. Coupland and R. I. John, "A new and efficient method for the type-2 meet operation," in Proc. of FUZZ-IEEE, Budapest, 2004, pp. 959-964.
4. S. Coupland and R. I. John, "Geometric type-1 and type-2 fuzzy logic systems," IEEE Trans. on Fuzzy Systems, vol. 15, no. 1, pp. 3-15, 2007.
5. S. Coupland and R. I. John, "Towards more efficient type-2 fuzzy logic systems," in Proc. FUZZ-IEEE, Reno, 2005, pp. 236-241.
6. S. Greenfield and R. I. John, "Optimized generalized type-2 join and meet operations," in Proc. of FUZZ-IEEE, London, 2007, pp. 141-146.
7. S. Greenfield, R. I. John, and S. Coupland, "A novel sampling method for type-2 defuzzification," in Proc. of UKCI 2005, London, 2005, pp. 120-127.
8. R. I. John and C. Czarnecki, "An adaptive type-2 fuzzy system for learning linguistic membership grades," in Proc. of FUZZ-IEEE, Seoul, 1999, pp. 1552-1556.
9. N. N. Karnik and J. M. Mendel, "Centroid of a type-2 fuzzy set," Information Sciences, vol. 132, pp. 195-220, 2001.
10. N. N. Karnik and J. M. Mendel, "Introduction to type-2 fuzzy logic systems," in Proc. of FUZZ IEEE, Anchorage, 1998, pp. 915-920.
11. N. N. Karnik, J. M. Mendel, and Q. Liang, "Type-2 Fuzzy Logic Systems," IEEE Trans. on Fuzzy Systems, vol. 7, no. 6, pp. 643-658, 1999.
12. G. J. Klir and B. Yuan, Fuzzy Sets and Fuzzy Logic: Theory and Application. Upper Saddle River, NJ: Prentice-Hall, 1995.
13. F. Liu, "An efficient centroid type reduction strategy for general type-2 fuzzy logic system," Information Sciences, vol. 178, pp. 2224-2236, 2008.
14. F. Liu and J. M. Mendel, "Encoding words into interval type-2 fuzzy sets using an interval approach," IEEE Trans. on Fuzzy Systems, vol. 16, no. 6, pp. 1503-1521, 2008.
15. L. A. Lucas, T. M. Centeno, and R. M. Delgado, "General type-2 inference systems: analysis, design and computational aspects," in Proc. of FUZZ-IEEE, London, 2007, pp. 1107-1112.
16. J. M. Mendel, Uncertain Rule-Based Fuzzy Logic Systems: Introduction and New Directions. Upper Saddle River, NJ: Prentice-Hall, 2001.
17. J. M. Mendel and R. I. John, "Type-2 fuzzy sets made simple," IEEE Trans. on Fuzzy Systems, vol. 10, no. 2, pp. 117-127, 2002.
18. J. M. Mendel and F. Liu, "Super-exponential convergence of the Karnik-Mendel algorithms for computing the centroid of an interval type-2 fuzzy set," IEEE Trans. on Fuzzy Systems, vol. 15, pp. 309-320, 2007.
19. J. M. Mendel, F. Liu, and D. Zhai, "Alpha-plane representation for type-2 fuzzy sets: theory and applications," IEEE Trans. on Fuzzy Systems, vol. 17, no. 5, pp. 1189-1207, 2009.
20. J. M. Mendel and H. Wu, "New results about the centroid of an interval type-2 fuzzy set, including the centroid of a fuzzy granule," Information Sciences, vol. 177, pp. 360-377, 2007.
21. J. M. Mendel and H. Wu, "Type-2 fuzzistics for symmetric interval type-2 fuzzy sets: Part 1, forward problems," IEEE Trans. on Fuzzy Systems, vol. 14, no. 6, pp. 781-792, 2006.
22. J. T. Starczewski, "A triangular type-2 fuzzy logic system," in Proc. of FUZZ IEEE, British Columbia, 2006, pp. 7231-7238.
23. J. T. Starczewski, "Extended triangular norms on Gaussian fuzzy sets," in Proc. of EUSFLAT-LFA, Barcelona, 2005, pp. 872-877.
24. H. Tahayori, A. G. B. Tettamanzi, and G. D. Antoni, "Approximated type-2 fuzzy set operations," in Proc. of FUZZ IEEE, Vancouver, 2006, pp. 9042-9049.
25. C. Wagner and H. Hagras, "z slices - towards bridging the gap between interval and general type-2 fuzzy logic," in Proc. of FUZZ IEEE, Hong Kong, 2008, pp. 489-497.
26. C. Wagner and H. Hagras, "z-slices based general type-2 FLC for the control of autonomous mobile robots in real world environments," in Proc. of FUZZ-IEEE, Jeju Island, Korea, 2009, pp. 718-725.
27. D. Wu and J. M. Mendel, "Enhanced Karnik-Mendel algorithms," IEEE Trans. on Fuzzy Systems, vol. 17, no. 4, pp. 923-934, 2009.
28. D. Zhai and J. M. Mendel, "Uncertainty measures for general type-2 fuzzy sets," submitted for publication.