Enhanced centroid-flow algorithm for general type-2 fuzzy sets

Annual Conference of the North American Fuzzy Information Processing Society - NAFIPS

Volumn , Issue , 2011, Pages

  Zhai, Daoyuan ^a   Mendel, Jerry M ^a  

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

Author keywords

centroid; Centroid Flow algorithm; Enhanced Centroid Flow algorithm; Enhanced Karnik Mendel algorithms; general type 2 fuzzy sets; Karnik Mendel algorithms

Indexed keywords

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

COMPUTATIONAL EFFICIENCY; DATA PROCESSING; ERRORS; FUZZY SETS;

APPROXIMATION ALGORITHMS;

EID: 79955910125     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1109/NAFIPS.2011.5751918     Document Type: Conference Paper

References (32)

1. J. Aisbett, J. T. Rickard, and D. G. Morgenthaler, "Type-2 Fuzzy Sets as Functions on Spaces," IEEE Trans. on Fuzzy Systems, vol. 18, no. 4, pp. 841-844, Aug. 2010.
2. Q. Chen and S. Kawase, "On fuzzy-valued fuzzy reasoning," Fuzzy Sets and Systems, vol. 113, pp. 237-251, 2000.
3. 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.
4. 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.
5. 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.
6. S. Coupland and R. I. John, "Towards more efficient type-2 fuzzy logic systems," in Proc. FUZZ-IEEE, Reno, 2005, pp. 236-241.
7. S. Greenfield and R. I. John, "Optimized generalized type-2 join and meet operations," in Proc. of FUZZ-IEEE, London, 2007, pp. 141-146.
8. 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.
9. P. Jaccard, "Nouvelles recherches sur la distribution florale," Bulletin de la Societe de Vaud des Sciences Naturelles, vol. 223, p. 44, 1908.
10. 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.
11. N. N. Karnik and J. M. Mendel, "Centroid of a type-2 fuzzy set," Information Sciences, vol. 132, pp. 195-220, 2001.
12. N. N. Karnik and J. M. Mendel, "Introduction to type-2 fuzzy logic systems," in Proc. of FUZZ IEEE, Anchorage, 1998, pp. 915-920.
13. 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.
14. G. J. Klir and B. Yuan, Fuzzy Sets and Fuzzy Logic: Theory and Application. Upper Saddle River, NJ: Prentice-Hall, 1995.
15. F. Liu, "An efficient centroid type reduction strategy for general type-2 fuzzy logic system," Information Sciences, vol. 178, pp. 2224-2236, 2008.
16. 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.
17. 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.
18. J. M. Mendel, Uncertain Rule-Based Fuzzy Logic Systems: Introduction and New Directions. Upper Saddle River, NJ: Prentice-Hall, 2001.
19. 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.
20. 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.
21. 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.
22. 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.
23. 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.
24. J. T. Starczewski, "A triangular type-2 fuzzy logic system," in Proc. of FUZZ IEEE, British Columbia, 2006, pp. 7231-7238.
25. J. T. Starczewski, "Extended triangular norms on Gaussian fuzzy sets," in Proc. of EUSFLAT-LFA, Barcelona, 2005, pp. 872-877.
26. 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.
27. C. Wagner and H. Hagras, "Toward General Type-2 Fuzzy Logic Systems Based on zSlices," IEEE Trans. on Fuzzy Systems, vol. 18, no. 14, pp. 637-660, 2010.
28. 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.
29. 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.
30. D. Wu and J. M. Mendel, "Enhanced Karnik- Mendel algorithms," IEEE Trans. on Fuzzy Systems, vol. 17, no. 4, pp. 923-934, 2009.
31. D. Zhai and J. M. Mendel, "Centroid of a General Type-2 Fuzzy Set Computed by Means of the Centroid Flow Algorithm," in Proc. of FUZZ-IEEE, Barcelona, Spain, 2010.
32. D. Zhai and J. M. Mendel, "Uncertainty measures for general type-2 fuzzy sets," in IEEE International Conference on Systems, Man and Cybernetics, San Antonio, TX, 2009, pp. 281-286.