Optical triangular-partition fuzzy systems with one-memory-matrix fuzzy associative memory

Shuqun Zhang; Mohammad A. Karim

doi:10.1364/OL.24.000484

Optics Letters
Vol. 24,
Issue 7,
pp. 484-486
(1999)
•https://doi.org/10.1364/OL.24.000484

Optical triangular-partition fuzzy systems with one-memory-matrix fuzzy associative memory

Shuqun Zhang and Mohammad A. Karim

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Shuqun Zhang and Mohammad A. Karim, "Optical triangular-partition fuzzy systems with one-memory-matrix fuzzy associative memory," Opt. Lett. 24, 484-486 (1999)

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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.

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$k$	$A_{k}$ (If Part)	$B_{k}$ (Then Part)
1	[1.0, 0.8, 0.3, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]	[1.0, 0.5, 0.3, 0.2, 0.1, 0.0, 0.0, 0.0, 0.0]
2	[0.0, 0.2, 0.7, 1.0, 0.6, 0.2, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]	[0.1, 0.4, 1.0, 0.5, 0.3, 0.1, 0.0, 0.0, 0.0]
3	[0.0, 0.0, 0.0, 0.0, 0.4, 0.8, 1.0, 0.5, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]	[0.0, 0.5, 0.7, 1.0, 0.7, 0.3, 0.2, 0.0, 0.0]
4	[0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.5, 1.0, 0.5, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]	[0.0, 0.2, 0.5, 0.9, 1.0, 0.8, 0.5, 0.1, 0.0]
5	[0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.5, 1.0, 0.7, 0.3, 0.0, 0.0, 0.0, 0.0]	[0.0, 0.0, 0.0, 0.4, 0.8, 1.0, 0.8, 0.6, 0.4]
6	[0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.3, 0.7, 1.0, 0.6, 0.2, 0.0]	[0.0, 0.0, 0.0, 0.0, 0.4, 0.9, 1.0, 0.6, 0.4]
7	[0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.4, 0.8, 1.0]	[0.0, 0.0, 0.0, 0.0, 0.1, 0.2, 0.5, 1.0, 1.0]

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Optics Letters