Uncertain fuzzy clustering: Interval type-2 fuzzy approach to C-means

IEEE Transactions on Fuzzy Systems

Volumn 15, Issue 1, 2007, Pages 107-120

  Hwang, Cheul ^a,b   Rhee, Frank Chung Hoon ^a  

^a Hanyang University   (South Korea)

^b University of Louisville   (United States)

Author keywords

Fuzzy C means (FCM); Fuzzy clustering; Interval type 2 fuzzy sets; Type 2 fuzzy sets

Indexed keywords

ALGORITHMS; FUZZY CONTROL; PATTERN RECOGNITION;

DEFUZZIFICATION; FUZZIFIER; FUZZINESS; FUZZY MEMBERSHIP; UNCERTAIN FUZZY CLUSTERING;

FUZZY CLUSTERING;

EID: 33947430572     PISSN: 10636706     EISSN: None     Source Type: Journal    
DOI: 10.1109/TFUZZ.2006.889763     Document Type: Article

References (33)

1. J. Mendel, Uncertain Rule-Based Fuzzy Logic Systems: Introduction and New Directions. Upper Saddle River, NJ: Prentice-Hall, 2001.
2. J. Mendel and R. John, "Type-2 fuzzy set made simple," IEEE Trans. Fuzzy Syst., vol. 10, no. 2, pp. 117-127, Apr. 2002.
3. J. Mendel, "Computing derivatives in interval type-2 fuzzy logic systems," IEEE Trans. Fuzzy Syst., vol. 12, no. 1, pp. 84-98, Feb. 2004.
4. J. Mendel and R. John, "A fundamental decomposition of type-2 fuzzy sets," in Proc. 2001 Joint Conf. IFSA/NAFIPS, Jul. 2001, pp. 1896-1901.
5. Q. Liang and J. Mendel, "MPEG VBR video traffic modeling and classification using fuzzy techniques," IEEE Trans. Fuzzy Syst., vol. 9, no. 1, pp. 183-193, Feb. 2001.
6. Q. Liang and J. Mendel, "Overcoming time-varying co-channel interference using type-2 fuzzy adaptive filter," IEEE Trans. Circuits Syst. II, Analog Digital Signal Process., vol. 47, pp. 1419-1428, Dec. 2000.
7. Q. Liang, N. Karnik, and J. Mendel, "Connection admission control in ATM networks using survey-based type-2 fuzzy logic systems," IEEE Trans. Syst., Man, Cybern. C, Appl. Rev., vol. 30, pp. 329-339, Aug. 2000.
8. H. Hagras, "A hierarchical type-2 fuzzy logic control architecture for autonomous mobile robots," IEEE Trans. Fuzzy Syst., vol. 12, no. 4, pp. 524-539, Aug. 2004.
9. K. Wu, "Fuzzy interval control of mobile robots," Comput. Elect. Eng., vol. 22, pp. 211-229, 1996.
10. R. Yager, "Fuzzy subsets of type II in decisions," J. Cybern., vol. 10, pp. 137-159, 1980.
11. J. Chaneau, M. Gunaratne, and A. Altschaeffl, J. Bezdek, Ed., "An application of type-2 fuzzy sets to decision making in engineering," in Analysis of Fuzzy Information, vol. II: Artificial Intelligence and Decision Systems. Boca Raton, FL: CRC, 1987.
12. Q. Liang and J. Mendel, "Equalization of nonlinear time-varying channels using type-2 fuzzy adaptive filters," IEEE Trans. Fuzzy Syst., vol. 8, no. 5, pp. 551-563, Oct. 2000.
13. I. Turksen, "Interval-representation of sets: Dempster-Pawlak-Turksen schema," in Proc. IEEE Int. Conf. Fuzz Syst., May 2002, vol. 1, pp. 602-606.
14. N. Karnik and J. Mendel, "Applications of type-2 fuzzy logic systems to forecasting of time series," Inform. Sci., vol. 120, pp. 89-111, 1999.
15. P. Innocent, R. John, I. Belton, and D. Finlay, "Type 2 fuzzy representations of lung scans to predict pulmonary emboli," in Proc. 2001 IFSA/NAFIPS Joint Conf., Vancouver, BC, Canada, Jul. 2001, pp. 1902-1907.
16. R. John, "Type 2 fuzzy sets for knowledge representation and inferencing," in Proc. IEEE Int. Conf. Fuzzy Syst., May 1998, vol. 2, pp. 1003-1008.
17. R. John and C. Czarnecki, "A type 2 adaptive fuzzy inferencing system," in Proc. Int. Conf. Syst., Man, Cybern., Oct. 1998, vol. 2, pp. 2068-2073.
18. O. Uncu and I. Turksen, "A new two-step fuzzy inference approach based on Takagi-Sugeno inference using discrete type 2 fuzzy sets," in Proc. 2003 Int. Conf. NAFIPS, July 2003, pp. 32-37.
19. R. John and C. Czarnecki, "An adaptive type-2 fuzzy system for learning linguistic membership grades," in Proc. Int. Conf. Fuzzy Syst., Aug. 1999, vol. 3, pp. 1552-1556.
20. S. Auephanwiriyakul, A. Adrian, and J. Keller, "Type 2 fuzzy set analysis in management surveys," in Proc. Int. Conf. Fuzzy Syst., May 2002, vol. 1, pp. 1321-1325.
21. R. John, P. Innocent, and M. Barnes, "Type 2 fuzzy sets and neuro-fuzzy clustering of radiographic tibia images," in Proc. Int. Conf. Fuzzy Syst., May 1998, vol. 2, pp. 1373-1376.
22. P. Innocent and R. John, "Type 2 fuzzy diagnosis," in IEEE Int. Conf. Fuzzy Syst., May 2002, vol. 2, pp. 1326-1330.
23. R. John, "Type-2 inferencing and community transport scheduling," in Proc. 4th Euro. Congr. Intelligent Techniques Soft Computing, Aachen, Germany, Sep. 1996, pp. 1369-1372.
24. I. Ozkan and I. Turksen, "Entropy assessment for type-2 fuzziness," in Proc. Int. Conf. Fuzzy Syst., Jul. 2004, vol. 2, pp. 1111-1115.
25. F. Rhee and C. Hwang, "A type-2 fuzzy C-means clustering algorithm," in Proc. Joint Conf. IFSA/NAFIPS, Jul. 2001, pp. 1926-1919.
26. F. Rhee and C. Hwang, "An interval type-2 fuzzy perceptron," in Proc. Int. Conf. Fuzzy Syst., May 2002, vol. 2, pp. 1331-1335.
27. F. Rhee and C. Hwang, "An interval type-2 fuzzy K-nearest neighbor," in Proc. Int. Conf. Fuzzy Syst., May 2003, vol. 2, pp. 802-807.
28. C. Hwang and F. Rhee, "An interval type-2 fuzzy C spherical shells algorithm," in Proc. Int. Conf. Fuzzy Syst., Jul. 2004, vol. 2, pp. 1117-1122.
29. R. Krishnapuram, O. Nasraoui, and H. Frigui, "The fuzzy C-spherical shells algorithm," IEEE Trans. Neural Netw., vol. 3, no. 5, pp. 663-671, Sep. 1992.
30. J. Tou and R. Gonzalez, Pattern Recognition Principles. Reading, MA: Addison-Wesley, 1974.
31. J. Bezdek, Pattern Recognition with Fuzzy Objective Function Algorithms. New York: Plenum, 1981.
32. C. Merz and P. Murphy, UCI Repository of Machine Learning Databases. Irvine, CA: Dept. Inform. Comput. Sci., Univ. California, [Online]. Available: http://www.ics.uci.edu/~mlearn/ML-Repository.html
33. R. Krishnapuram and J. Keller, "A possibilistic approach to clustering," IEEE Trans. Fuzzy Syst., vol. 1, no. 2, pp. 98-110, May 1993.