Classification of heterogeneous fuzzy data by choquet integral with fuzzy-valued integrand

IEEE Transactions on Fuzzy Systems

Volumn 15, Issue 5, 2007, Pages 931-942

  Yang, Rong ^a   Wang, Zhenyuan ^b   Heng, Pheng Ann ^c   Leung, Kwong Sak ^c  

^a SHENZHEN UNIVERSITY   (China)

^b UNIVERSITY OF NEBRASKA AT OMAHA   (United States)

^c CHINESE UNIVERSITY OF HONG KONG   (Hong Kong)

Author keywords

Choquet integral; Classification; Data mining; Fuzzification; Heterogeneous fuzzy data; Signed fuzzy measure

Indexed keywords

ADAPTIVE ALGORITHMS; CLASSIFICATION (OF INFORMATION); DATA HANDLING; DATA MINING; GENETIC ALGORITHMS; INTEGRAL EQUATIONS; INTEGRATION; LEARNING ALGORITHMS;

CHOQUET INTEGRAL; FUZZIFICATION; FUZZY DATA; SIGNED FUZZY MEASURE;

FUZZY SYSTEMS;

EID: 35348859555     PISSN: 10636706     EISSN: None     Source Type: Journal    
DOI: 10.1109/TFUZZ.2006.890658     Document Type: Article

References (31)

1. S. Auephanwiriyakul, J. M. Keller, and P. D. Gader, "Generalized Choquet fuzzy integral fusion," Inform. Fusion, vol. 3, pp. 69-85, 2002.
2. H. Bandemer and W. Nather, Fuzzy Data Analysis. London, UK.: Kluwer, 1992.
3. C. L. Blake and C. J. Merz, UCI Repository of Machine Learning Databases. Irvine, CA: Dept. Inform. Comput. Sci., Univ. California, 1998 [Online]. Available: http://www.ics.uci.edu/~mlearn/ MLRepository.html
4. G. Choquet, "Theory of capacities," Annales de l'Institut Fourier vol. 5, pp. 131-295, 1954.
5. D. Denneberg, Non-Additive Measure and Integral. Boston, MA: Kluwer, 1994.
6. M. Grabisch and J. M. Nicolas, "Classification by fuzzy integral: Performance and Tests," Fuzzy Sets Syst., vol. 65, pp. 255-271, 1994.
7. M. Grabisch, "A new algorithm for identifying fuzzy measures and its application to pattern recognition," in Proc. Joint Conf. 4th IEEE Int. Conf. Fuzzy Syst. 2nd Int. Fuzzy Eng. Symp., 1995, pp. 145-150.
8. R. J. Hathaway, J. C. Bezdek, and W. Pedrycz, "A parametric model for fusing heterogeneous fuzzy data," IEEE Trans. Fuzzy Syst., vol. 4, no. 3, pp. 270-281, Jun. 1996.
9. F. Herrera, M. Lozano, and J. L. Verdegay, "Tackling real-coded genetic algorithms: Operators and tools for the behaviour analysis," Artif. Intell. Rev., vol. 12, pp. 265-319, 1998.
10. H. Ishibuchi, R. Fujioka, and H. Tanaka, "Neural network that learn from fuzzy if-then rules," IEEE Trans. Fuzzy Syst., vol. 1, no. 2, pp. 85-97, Feb. 1993.
11. H. Ishibuchi, T. Shirai, K. Nagasaka, and T. Miyoshi, "Neuro-fuzzy ID3: A method of inducing fuzzy decision trees with linear programming for maximizing entropy and an algebraic method for incremental learning," Fuzzy Sets Syst., vol. 81, pp. 157-167, 1996.
12. H. Ishibuchi, T. Yamamoto, and T. Nakashima, "Fuzzy data mining: Effect of fuzzy discretization," in Proc. IEEE Int. Conf. Data Mining, 2001, pp. 241-248.
13. G. J. Klir and B. Yuan, Fuzzy Sets and Fuzzy Logic - Theory and Applications. Upper Saddle River, NJ: Prentice-Hall, 1995.
14. M. Mares, Computation over Fuzzy Quantties. Boca Raton, FL: CRC, 1994.
15. R. S. Michalski, I. Mozetic, and J. R. Hong, "The multipurpose incremental learning system," in Proc. 5th National Conf. Artif. Intell., 1986, pp. 1041-1045.
16. L. Mikenina and H.-J. Zimmermann, "Improved feature selection and classification by the 2-additive fuzzy measure," Fuzzy Sets Syst. vol. 107, pp. 197-218, 1999.
17. T. Murofushi, M. Sugeno, and M. Machida, "Non monotonic fuzzy measures and the choquet integral," Fuzzy Sets Syst., vol. 64, pp. 73-86, 1994.
18. P. A. Nava, "Implementation of neuro-fuzzy systems through interval mathematics," in Proc. IEEE ISIC/CIRA/ISAS Joint Conf., 1998, pp. 365-369.
19. E. Pap, Null-Additive Set Functions. Boston, MA: Kluwer, 1995.
20. V. Petridis and V. G. Kaburlasos, "Modeling of systems using heterogeneous data," in Proc. IEEE Int. Conf. Syst., Man, Cybern. 1999, pp. V308-V313.
21. J. R. Quinlan, "Induction of decision," Mach. Learn., vol. 1, pp. 81-106, 1986.
22. C.-S. Shieh and C.-T. Lin, "A vector neural network for emitter identification," IEEE Trans. Antennas Propag., vol. 50, no. 8, pp. 1120-1127, Aug. 2002.
23. E. C. C. Tsang, D. S. Yeung, and X. Z. Wang, "OFFSS: Optimal fuzzy-valued feature subset selection," IEEE Trans. Fuzzy Syst., vol. 11, no. 2, pp. 202-213, Apr. 2003.
24. Z. Wang, "A new genetic algorithm for nonlinear multiregressions based on generalized Choquet integrals," in Proc. 12th IEEE Int. Conf. Fuzzy Syst., 2003, vol. 2, pp. 819-821.
25. Z. Wang and G. J. Klir, Fuzzy Measure Theory. New York: Plenum, 1992.
26. Z. Wang, G. J. Klir, and W. Wang, "Monotone set functions defined by choquet integral," Fuzzy Sets Syst., vol. 81, pp. 241-250, 1996.
27. Z. Wang, R. Yang, and K. S. Leung, "On the Choquet Integral with Fuzzy-Valued Integrand," in Proc. 11th World Congr. Int. Fuzzy Syst. Assoc., 2005, pp. 433-437.
28. Z. Wang, R. Yang, P. A. Heng, and K. S. Leung, "Real-valued choquet integrals with fuzzy-valued integrand," Fuzzy Sets Syst., vol. 157, no. 1, pp. 256-269.
29. K. Xu, Z. Wang, P.-A. Heng, and K.-S. Leung, "Classification by Non-linear Integral Projections," IEEE Trans. Fuzzy Syst., vol. 11, no. 2, pp. 187-201, Apr. 2003.
30. R. Yang, Z. Wang, P. A. Heng, and K. S. Leung, "Fuzzy numbers and fuzzification of choquet integrals," Fuzzy Sets Syst., vol. 153, no. 1, pp. 96-113.
31. Y. Yuan and M. J. Shaw, "Induction of fuzzy decision tree," Fuzzy Sets Syst., vol. 69, no. 2, pp. 125-139, 1995.