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Abstract

The morphological associative memories (MAM) have many attractive advantages. However, they can not give a guarantee that morphological hetero-associative memories are perfect, even if input patterns are perfect. In addition, the problem with the associative memory matrixes W XY and M XY is that W XY is incapable of handling dilative noise while M XY is incapable of effectively handling erosive noise. In this paper, the new methods of MAM,  +  W XY and  +  M XY are proposed. The certain qualifications that make  +  W XY and  +  M XY be perfect memories are analyzed and proved. As far as the hetero-associative memories are concerned, although  +  W XY and  +  M XY are not perfect, they are complements to original W XY and M XY .  +  W XY is capable of handling dilative noise while  +  M XY is capable of effectively handling erosive noise. Therefore they can be put together with original W XY and M XY to learn from others’ strong points to offset ones’ own weakness and to make the effect of hetero-associative memories and pattern recognition better. The calculation results demonstrate that both  +  W XY and  +  M XY are effectual.

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References

  1. Davidson, J.L., Ritter, G.X.: A theory of morphological neural networks. In: Digital Optidal Computing II, vol. 1215, pp. 378–388 (1990)

    Google Scholar 

  2. Ritter, G.X., Sussner, P.: An introduction to morphological neural networks. In: Proc 13th Int. Conf. Pattern Recognition, Vienna, Austria, pp. 709–717 (1996)

    Google Scholar 

  3. Ritter, G.X., Sussner, P., Diaz-de-Leon, J.L.: Morphological Associative Memories. IEEE Transactions on Neural Networks 9(2), 281–292 (1998)

    Article  Google Scholar 

  4. Chen, S.C., Liu, W.L.: Complex Morphological Associative Memories and Their Performance Analysis. Journal of Software (in Chinese) 13(3), 453–459 (2002)

    Google Scholar 

  5. Wang, M., Wang, S.T., Wu, X.J.: Initial Results on Fuzzy Morphological Associative Memories. Acta Electronica Sinica (in Chinese) 31(5), 690–693 (2003)

    Google Scholar 

  6. Wang, M., Chen, S.C.: Enhanced FMAM Based on Empirical Kernel Map. IEEE Transactions on Neural Networks 16(3), 557–564 (2005)

    Article  Google Scholar 

  7. Wu, X.S., Wang, S.T.: Bidirectional fuzzy morphological associative memory and its robust analysis for random noise. Pattern Recognition and Artificial Intelligence (in Chinese) 18, 257–262 (2005)

    Google Scholar 

  8. Wu, X.S., Wang, S.T.: Fuzzy morphological associative memories and their application in storing and recalling cell images. Journal of Image and Graphics (in Chinese) 11(10), 1450–1455 (2006)

    Google Scholar 

  9. Sussner, P., Valle, M.E.: Gray-scale Morphological Associative Memories. IEEE Transactions on Neural Networks 17(3), 559–570 (2006)

    Article  Google Scholar 

  10. Sussner, P., Valle, M.E.: Implicative Fuzzy Associative Memories. IEEE Transactions on Fuzzy Systems 14(6), 793–807 (2006)

    Article  Google Scholar 

  11. Valle, M.E., Sussner, P.: A general framework for fuzzy morphological associative memories. Fuzzy Sets and Systems 159(7), 747–768 (2008)

    Article  MATH  MathSciNet  Google Scholar 

  12. Feng, N.Q., Qiu, Y.H., Wang, F., et al.: A Unified Framework of Morphological Associative Memories. In: Huang, D.S., Li, K. (eds.) Intelligent Control and Automation. Lecture Notes in Control and Information Sciences, vol. 344, pp. 1–11. Springer, Heidelberg (2006)

    Chapter  Google Scholar 

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© 2009 Springer-Verlag Berlin Heidelberg

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Feng, N., Cao, X., Li, S., Ao, L., Wang, S. (2009). A New Method of Morphological Associative Memories. In: Huang, DS., Jo, KH., Lee, HH., Kang, HJ., Bevilacqua, V. (eds) Emerging Intelligent Computing Technology and Applications. With Aspects of Artificial Intelligence. ICIC 2009. Lecture Notes in Computer Science(), vol 5755. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-04020-7_43

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  • DOI: https://doi.org/10.1007/978-3-642-04020-7_43

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-04019-1

  • Online ISBN: 978-3-642-04020-7

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