Abstract

We propose efficient implementation of a fuzzy associative memory system based on a fuzzy-sets decomposition technique. The technique involves decomposing the input fuzzy sets of a fuzzy associative memory into orthogonal subsets so multiple fuzzy rules can be superimposed without loss of information. This technique can significantly reduce the optical hardware and computation needs of fuzzy associative memory systems.

© 1998 Optical Society of America

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References

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  1. B. Kosko, Neural Networks and Fuzzy Systems—A Dynamical Systems Approach to Machine Intelligence (Prentice-Hall, Englewood Cliffs, N.J., 1992).
  2. L. Liu, Opt. Commun. 73, 183 (1989).
    [CrossRef]
  3. S. Zhou, W. Wu, S. Campbell, P. Yeh, Y. Yand, and H. Ling, Appl. Opt. 33, 5335 (1994).
    [CrossRef] [PubMed]
  4. L. Shao, L. Liu, and G. Li, Opt. Commun. 129, 89 (1996).
    [CrossRef]
  5. S. Zhang, S. Lin, and C. Chen, Opt. Lett. 19, 1067 (1994).
    [CrossRef] [PubMed]
  6. Z. Wen, S. Campbell, W. Wu, and P. Yeh, Opt. Lett. 20, 2125 (1995).
    [CrossRef] [PubMed]

1996 (1)

L. Shao, L. Liu, and G. Li, Opt. Commun. 129, 89 (1996).
[CrossRef]

1995 (1)

1994 (2)

1989 (1)

L. Liu, Opt. Commun. 73, 183 (1989).
[CrossRef]

Campbell, S.

Chen, C.

Kosko, B.

B. Kosko, Neural Networks and Fuzzy Systems—A Dynamical Systems Approach to Machine Intelligence (Prentice-Hall, Englewood Cliffs, N.J., 1992).

Li, G.

L. Shao, L. Liu, and G. Li, Opt. Commun. 129, 89 (1996).
[CrossRef]

Lin, S.

Ling, H.

Liu, L.

L. Shao, L. Liu, and G. Li, Opt. Commun. 129, 89 (1996).
[CrossRef]

L. Liu, Opt. Commun. 73, 183 (1989).
[CrossRef]

Shao, L.

L. Shao, L. Liu, and G. Li, Opt. Commun. 129, 89 (1996).
[CrossRef]

Wen, Z.

Wu, W.

Yand, Y.

Yeh, P.

Zhang, S.

Zhou, S.

Appl. Opt. (1)

Opt. Commun. (2)

L. Shao, L. Liu, and G. Li, Opt. Commun. 129, 89 (1996).
[CrossRef]

L. Liu, Opt. Commun. 73, 183 (1989).
[CrossRef]

Opt. Lett. (2)

Other (1)

B. Kosko, Neural Networks and Fuzzy Systems—A Dynamical Systems Approach to Machine Intelligence (Prentice-Hall, Englewood Cliffs, N.J., 1992).

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Figures (4)

Fig. 1
Fig. 1

FAM system architecture that maps input fuzzy set A to output fuzzy set B.

Fig. 2
Fig. 2

Decomposition of fuzzy sets: (a) a typical set of seven triangular membership functions; (b), (c) two sets of max–min orthogonal fuzzy sets.

Fig. 3
Fig. 3

Optical FAM system: SLM's, spatial light modulators.

Fig. 4
Fig. 4

Encoded fuzzy values.

Equations (3)

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Mk=AkTBkMinAkT, Bk.
Bk=AMk,
B=k=1mwkBk,

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