Abstract

Taking advantage of the special properties of fuzzy sets, we propose that one-memory-matrix fuzzy associative memory can be used to realize triangular-partition fuzzy inference systems efficiently. The proposed model has perfect recall capability.

© 1999 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).
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    [CrossRef] [PubMed]
  5. L. Shao, L. Liu, and G. Li, Opt. Commun. 129, 89 (1996).
    [CrossRef]
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    [CrossRef] [PubMed]

1998 (1)

1996 (1)

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

1994 (3)

1987 (1)

Campbell, S.

Caulfield, J. J.

Chen, C.

Hammell, R. J.

T. Sudkamp and R. J. Hammell, IEEE Trans. Syst. Man Cybern. 24, 332 (1994).
[CrossRef]

Karim, M. A.

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]

Ling, H.

Liu, L.

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

Shao, L.

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

Sudkamp, T.

T. Sudkamp and R. J. Hammell, IEEE Trans. Syst. Man Cybern. 24, 332 (1994).
[CrossRef]

Szu, H.

Wu, W.

Yand, X.

Yeh, P.

Zhang, S.

Zhou, S.

Appl. Opt. (2)

IEEE Trans. Syst. Man Cybern. (1)

T. Sudkamp and R. J. Hammell, IEEE Trans. Syst. Man Cybern. 24, 332 (1994).
[CrossRef]

Opt. Commun. (1)

L. Shao, L. Liu, and G. Li, Opt. Commun. 129, 89 (1996).
[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 (5)

Fig. 1
Fig. 1

Membership functions of a TP fuzzy system.

Fig. 2
Fig. 2

Memory matrix R.

Fig. 3
Fig. 3

Encoded fuzzy values.

Fig. 4
Fig. 4

Optical TP fuzzy system: SLM’s, spatial light modulators.

Fig. 5
Fig. 5

Experimental results: (a) mask of the encoded memory matrix, (b) encoded input pattern, (c) bounded-product pattern between the input and the memory matrix, (d) encoded output pattern.

Tables (1)

Tables Icon

Table 1 Seven Fuzzy Rules Used in the Simulation

Equations (8)

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Akx=x-xk-1/xk-xk-1if xk-1xxk,-x+xk+1/xk+1-xkif xkxxk+1,0otherwise.
k=1N Akx=1,
Akx=1-Ak+1x,
Rk=AkBk,
AkBk=max0,Ak+Bk-1.
R=maxk=1N Rk=maxk=1N AkBk.
B=AR=maxxXAR,
AkAl=maxxXAkxAlx=maxxX{max0,Akx+Alx-1}=0,

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