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The MSFAM: a modified fuzzy ARTMAP system

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Abstract

A fuzzy ARTMAP system is a system for incremental supervised learning of recognition categories and multi-dimensional maps in response to an arbitrary sequence of analog or binary input vectors. Fuzzy ARTMAP systems have been benchmarked against a variety of machine learning, neural networks, and genetic algorithms with considerable success. Owing to many appealing properties, fuzzy ARTMAP systems provide a natural basis for many researchers. Many different approaches have been proposed to modify fuzzy ARTMAP systems. In this paper, we propose a new approach to modifying a fuzzy ARTMAP system. We refer to the new system as the modified and simplified fuzzy ARTMAP (MSFAM) system. The aims of MSFAM systems are not only to reduce the architectural redundancy of the fuzzy ARTMAP system, but also to make extracted rules more comprehensible and concise. Four data sets were used for demonstrating the performance of the proposed MSFAM system.

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References

  1. Specht D (1990) Probabilistic neural networks. Neural Networks 3(1):109–118

    Article  Google Scholar 

  2. Su MC (1994) Use of neural networks as medical diagnosis expert systems. Comput Biol Med 24(6):419–429

    Article  Google Scholar 

  3. Su MC, Hsieh CT, Chin CC (1998) A neuro-fuzzy approach to speech recognition without time alignment. Fuzzy Set Syst 98(1):33–41

    Article  Google Scholar 

  4. Su MC, Liu CW, Tsay SS (1999) Neural-network-based fuzzy model and its application to transient stability prediction in power systems. IEEE Trans Syst Man Cybern 29(1):149–157

    Google Scholar 

  5. Abe S, Lan MS (1995) A method for fuzzy rules extraction directly from numerical data and its application to pattern classification. IEEE Trans Fuzzy Syst 13(1):18–28

    Article  MATH  Google Scholar 

  6. Salzberg SL (1990) Learning with nested generalized exemplars. Kluwer, Dordrecht, The Netherlands

    Google Scholar 

  7. Simpson P (1992) Fuzzy min–max neural networks. Part 1: classification. IEEE Trans Neural Networ 3(5):776–786

    Google Scholar 

  8. Carpenter GA, Grossberg S, Markuzon N, Reynolds JH, Rosen DB (1992) Fuzzy ARTMAP: a neural network architecture for incremental supervised learning of analog multidimensional maps. IEEE Trans Neural Networ 3:698–713

    Google Scholar 

  9. Carpenter GA, Grossberg S, Reynolds JH (1991) ARTMAP: supervised real-time learning and classification of nonstationary data by a self-organizing neural network. Neural Networks 4(5):565–588

    Article  Google Scholar 

  10. Carpenter GA, Grossberg S (1992) A self-organizing neural network for supervised learning, recognition, and prediction: can neural networks learn to recognize new objects without forgetting familiar ones? IEEE Communications Magazine 30(9):38–49

    Article  Google Scholar 

  11. Blume M, Van-Blerkom DA, Esener SC (1996) Fuzzy ARTMAP modifications for intersecting class distributions. In: Proceedings of the world congress on neural networks, San Diego, California, September 1996, pp 250–255

  12. Carpenter GA, Markuzon N (1998) ARTMAP-IC and medical diagnosis: instance counting and inconsistent cases. Neural Networks 11(2):323–336

    Article  Google Scholar 

  13. Chen B, Hoberock LL (1996) A fuzzy neural network architecture for fuzzy control and classification. In: Proceedings of the IEEE international conference on neural networks, Washington, DC, June 1996, vol 2, pp 1168–1173

  14. Chen PL, Harrison RF (1997) Modified fuzzy ARTMAP approaches Bayes’ optimal classification rates: an empirical demonstration. Neural Networks 10(4):755–774

    Article  MATH  Google Scholar 

  15. Dagher I, Geogiopoulos M, Heileman GL, Bebis G (1998) Fuzzy ARTVar: an improved fuzzy ARTMAP algorithm. In: Proceedings of the IEEE international joint conference on neural networks (IJCNN’98) and the IEEE world congress on computational intelligence (WCCI’98), Anchorage, Alaska, May 1998, vol 3, pp 1688–1693

    Google Scholar 

  16. Healy MJ, Caudell TP (1998) Guaranteed two-pass convergence for supervised and inferential learning. IEEE Trans Neural Networ 9(1):195–204

    Article  Google Scholar 

  17. Hsien LT, Shie JL (1997) A neural network model for spoken word recognition. In: Proceedings of the IEEE international conference on system, man, and cybernetics: “computational cybernetics and simulation,” Orlando, Florida, October 1997, vol 5, pp 4029–4034

  18. Jervis BW, Garcia T, Giahnakis EP (1999) The probabilistic simplified fuzzy ARTMAP (PSFAM). IEE Proc A Sci Meas Technol 146(4):165–169

    Article  Google Scholar 

  19. Kasuba T (1993) Simplified fuzzy adaptive resonance theory map. AI Expert Magazine, November 1993, pp 18–25

  20. Malkani A, Vassiadis CA (1995) Parallel implementation of the fuzzy ARTMAP neural network paradigm on a hypercube. Expert Syst 12(1):39–53

    Google Scholar 

  21. Marriott S, Harrison RF (1995) A modified fuzzy ARTMAP architecture for the approximation of noisy mappings. Neural Networks 8(4):619–641

    Article  Google Scholar 

  22. Srinivasa N (1997) Learning and generalization of noisy mappings using a modified PROBART neural network. IEEE Trans Signal Proces 45(10):2533–2550

    Article  Google Scholar 

  23. Verzi SJ, Heileman GL, Georgiopoulos M, Healy MJ (1998) Boosted ARTMAP. In: Proceedings of the IEEE international joint conference on neural networks (IJCNN’98) and the IEEE world congress on computational intelligence (WCCI’98), Anchorage, Alaska, May 1998, vol 1, pp 396–401

  24. Carpenter GA, Tan AH (1993) Rule extraction, fuzzy ARTMAP and medical databases. In: Proceedings of the world congress on neural networks (WCNN’93), Portland, Oregon, July 1993, vol 1, pp 501–506

  25. Carpenter GA, Tan AH (1995) Rule extraction: from neural architecture to symbolic representation. Connect Sci 7:3–27

    Google Scholar 

  26. NeuNet Pro Web site http://www.cormactech.com/neunet/

  27. Lang KJ, Witbrock MJ (1989) Learning to tell two spirals apart. In: Proceedings of the 1988 connectionist models summer school, San Mateo, California, pp 52–59

  28. Abe S, Lan MS, (1995) A method for fuzzy rules extraction directly from numerical data and its application to pattern classification. IEEE Trans Fuzzy Syst 3(1):18–28

    Google Scholar 

  29. Nauck D, Kruse R (1997) A neuro-fuzzy method to learn fuzzy classification rules from data. Fuzzy Set Syst 89(3):277–288

    Article  MathSciNet  Google Scholar 

  30. Halgamuge S, Glesner M (1994) Neural networks in designing fuzzy systems for real world applications. Fuzzy Set Syst 65:1–12

    Google Scholar 

  31. Kasabov N, Woodford B (1999) Rule insertion and rule extraction from evolving fuzzy neural networks: algorithms and applications for building adaptive, intelligent expert systems. In: Proceedings of IEEE international conference on fuzzy systems (FUZZ-IEEE’99), Seoul, Korea, August 1999, vol 3, pp 1406–1411

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Acknowledgements

This work is supported by the MOE Program for Promoting Academic Excellence of Universities under grant number EX-91-E-FA06-4-4, the National Science Council, Taiwan, R.O.C, under grant number NSC 93-2524-S-008-002, and the Ministry of Economic Affairs under grant number 93-EC-17-A-02-S1-029.

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Su, MC., Lu, WZ., Lee, J. et al. The MSFAM: a modified fuzzy ARTMAP system. Pattern Anal Applic 8, 1–16 (2005). https://doi.org/10.1007/s10044-004-0229-y

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