GrSOM: A granular extension of the self-organizing map for structure identification applications

IEEE International Conference on Fuzzy Systems

Volumn 2, Issue , 2004, Pages 789-794

  Kaburlasos, Vassilis G ^a   Papadakis, Stylianos E ^a  

^a TECHNOLOGICAL EDUCATIONAL INSTITUTE OF KAVALA   (Greece)

Author keywords

[No Author keywords available]

Indexed keywords

FUZZY INFERENCE SYSTEM (FIS); FUZZY RULES; GRANULAR EXTENSION; STRUCTURE IDENTIFICATION;

COMPUTER SIMULATION; FUZZY SETS; IDENTIFICATION (CONTROL SYSTEMS); INFERENCE ENGINES; KNOWLEDGE ENGINEERING; LINGUISTICS; NUMBER THEORY; PROBABILITY DISTRIBUTIONS;

SELF ORGANIZING MAPS;

EID: 11144265314     PISSN: 10987584     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1109/FUZZY.2004.1375501     Document Type: Conference Paper

References (30)

1. G. Birkhoff. Lattice Theory. Providence. RI: American Math. Society, Colloquium Publications, 25., 1967.
2. C.L. Blake and C.J. Merz. UCI Repository of machine learning databases [http://www.ics.uci.edu/~mlearn/ MLRepository.html]. Irvine. CA: Univ. of California, Dept. of Information and Computer Science, 1998.
3. V. Chatzis and I. Pitas, "Fuzzy scalar and vector median filters based on fuzzy distances." IEEE Trans. on Image Processing, vol. 8. no. 5. pp. 731-734, 1999.
4. P. Diamond and P. Kloeden. Metric Spaces of Fuzzy Sets. World Scientific, Singapore, 1994.
5. M. Haritopoulos, H. Yin, and N.M. Allinson, "Image denoising using self-organizing map-based nonlinear independent component analysis." Neural Networks, vol. 15, no. 8-9. pp. 1085-1098, 2002.
6. S. Heilpern, "Representation and application of fuzzy numbers, " Fuzzy Sets and Systems, vol. 91, no. 2. pp. 259-268, 1997.
7. K. Hirota and W. Pedrycz, "Fuzzy computing for data mining," Proceedings of the IEEE. vol. 87, no. 9, pp. 1575-1600, 1999.
8. H. Ishibuchi, K. Kwon, K., and H. Tanaka. "A learning algorithm of fuzzy neural networks with triangular fuzzy weights." Fuzzy Sets and Systems, vol. 71. pp. 277-293, 1995.
9. H. Ishibuchi, T. Nakashima, and T. Murata, "Performance evaluation of fuzzy classifier systems for multidimensional pattern classification problems," IEEE Trans. on Systems. Man and Cybernetics - Part B. vol. 29, no. 5, pp. 601-618, 1999.
10. J.-S. R. Jang and C.-T. Sun, "Neuro-fuzzy modeling and control," Proceedings of the IEEE, vol. 83, no. 3, pp. 378-406, 1995.
11. A. Joshi, N. Ramakrishman, E.N. Houstis, and J.R. Rice. "On neurobiological, neuro-fuzzy, machine learning, and statistical pattern recognition techniques." IEEE Trans. on Neural Networks, vol. 8. no. 1, pp. 18-31, 1997.
12. th Intl. Conf. on Technology & Automation, Thessaloriiki, Greece, 5-6 October 2002, pp. 268-275.
13. V.G. Kaburlasos, "FINs: Lattice theoretic tools for improving prediction of sugar production from populations of measurements." IEEE Transactions on Systems. Man and Cybernetics - Part B, vol. 34, no. 2, pp. 1017-1030, 2004.
14. V.G. Kaburlasos. "An Enhanced Unification in Machine Learning Based on Lattice Theory." (submitted).
15. V.G. Kaburlasos and V. Petridis, ''Fuzzy Lattice Neurocomputing (FLN) models," Neural Networks, vol. 13, pp. 1145-1170, 2000.
16. th Mediterranean Conference on Control and Automation (MED'03), Rhodes, Greece, 2003.
17. V.G. Kaburlasos, V. Petridis, P. Brett, and D Baker, "Estimation of the stapes-bone thickness in stapedotomy surgical procedure using a machine-learning technique," IEEE Trans. on Information Technology in Biomedicine, vol. 3, no. 4, 268-277, 1999.
18. Kohonen, T. (1995). Self-Organizing Maps. Berlin, Germany: Springer.
19. T. Kohonen and P. Somervuo, "How to make large self-organizing maps for nonvectorial data," Neural Networks, vol. 15, no. 8-9, pp. 945-952, 2002.
20. E.H. Mamdani and S. Assilian, "An experiment in linguistic synthesis with a fuzzy logic controller," Intl. Journal of Man-Machine Studies, vol. 7, pp. 1-13, 1975.
21. S. Mitra and Y. Hayashi, "Neuro-fuzzy rule generation: survey in soft computing framework." IEEE Trans. on Neural Networks, vol. 11, no. 3, pp. 748-768, 2000.
22. S.E. Papadakis and J.B. Theocharis, "A GA-based fuzzy modeling approach for generating TSK models," Fuzzy Sets and Systems, vol. 131, no. 2, 121-152, 2002.
23. S. Papadimitriou, S.D. Likothanassis, "Kernel-based self-organized maps trained with supervised bias for gene expression data analysis," Journal of Bioinformatics and Computational Biology, vol. 1, no. 4, pp. 647-680, 2004.
24. S. Papadimitriou, S. Mavroudi, L. Vladutu, and A. Bezerianos, "Ischemia detection with a self-organizing map supplemented by supervised learning," IEEE Trans. on Neural Networks, vol. 12, pp. 503-515, 2001.
25. W. Pedrycz and A. Bargiela. "Granular clustering: A granular signature of data," IEEE Trans. on Systems. Man and Cybernetics -Part B, vol. 32, no. 2, pp. 212-224, 2002.
26. V. Petridis and V.G. Kaburlasos, "Clustering and classification in structured data domains using Fuzzy Lattice Neurocomputing (FLN)," IEEE Trans. on Knowledge and Data Engineering, vol. 13, no. 2, pp. 245-260, 2001.
27. V. Petridis, and V.G. Kaburlasos, "FINkNN: Fuzzy Interval Number k-Nearest Neighbor classifier for prediction of sugar production from populations of samples," Journal of Machine Learning Research, vol. 4, pp. 17-37, 2003.
28. J.C. Principe, L. Wang, and M.A. Motter, "Local dynamic modeling with self organizing maps and applications to nonlinear system identification and control," Proceedings of the IEEE, vol. 86, no. 11, pp. 2240-2258, 1998.
29. T. Takagi, and M. Sugeno, "Fuzzy identification of systems and its applications to modeling and control," IEEE Trans. Systems, Man. and Cybernetics, vol 15, no. 1, pp. 116-132, 1985.
30. L.A. Zadeh, "Fuzzy sets as a basis for a theory of possibility," Fuzzy Sets and Systems, vol. 1, 3-28, 1978.