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Applied Optics

Applied Optics

APPLICATIONS-CENTERED RESEARCH IN OPTICS

  • Vol. 33, Iss. 23 — Aug. 10, 1994
  • pp: 5335–5347

Optical implementation of fuzzy-set reasoning

Shaomin Zhou, Weishu Wu, Scott Campbell, Pochi Yeh, Xiangyang Yang, and Hua-Kuang Liu  »View Author Affiliations


Applied Optics, Vol. 33, Issue 23, pp. 5335-5347 (1994)
http://dx.doi.org/10.1364/AO.33.005335


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Abstract

New methods of optical fuzzy-logic operations and optical fuzzy-controller synthesis are proposed and experimentally demonstrated by use of optical fan-out elements to achieve multiple imaging and polarization-space/aperture data encoding to represent fuzzy variables in optics. Sixteen fuzzy-logic operations between two inputs are achieved by use of a simple polarization-space data-encoding and kernel-operation scheme. In addition, a max–min composition-based fuzzy controller is implemented by use of an aperture-data-encoding and a double-multi-imaging approach. Our systems exhibit a high operation speed, a large information throughput, and a high signal-to-noise ratio.

© 1994 Optical Society of America

History
Original Manuscript: July 30, 1993
Revised Manuscript: January 21, 1994
Published: August 10, 1994

Citation
Shaomin Zhou, Weishu Wu, Scott Campbell, Pochi Yeh, Xiangyang Yang, and Hua-Kuang Liu, "Optical implementation of fuzzy-set reasoning," Appl. Opt. 33, 5335-5347 (1994)
http://www.opticsinfobase.org/ao/abstract.cfm?URI=ao-33-23-5335


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References

  1. L. A. Zadeh, “Fuzzy sets,” Inf. Control 8, 338–353 (1965). [CrossRef]
  2. P. Siy, C. S. Chen, “Fuzzy logic for handwritten numerical character recognition,” IEEE Trans. Syst. Man Cybern. SMC-4, 570–575 (1974).
  3. J. C. Bezdek, “Numerical taxonomy with fuzzy sets,” J. Math. Biol. 1, 57–71 (1974). [CrossRef]
  4. S. Gale, “Conjectures on many-valued logic, regions and criteria for conflict resolution,” Proc. IEEE 75, 212–225 (1975).
  5. W. G. Wee, S. K. Fu, “A formulation of fuzzy automata and its application as a model of learning systems,” IEEE Trans. Syst. Sci. Cybern. SSC-5, 215–223 (1969). [CrossRef]
  6. R. Kling, “Fuzzy PLANNER: reasoning with inexact concepts in a procedural problem-solving language,” J. Cybern. 4, 105–122 (1974). [CrossRef]
  7. T. E. Lee, “Shape-oriented chromosome classification,” IEEE Trans. Syst. Man Cybern. SMC-5, 629–682 (1975).
  8. M. Albn, “Fuzzy sets and their application to medical diagnosis,” Ph.D. dissertation (University of California, Berkeley, Berkeley, Calif., 1975).
  9. J. M. Becker, “A structural design process: philosophy and methodology,” Ph.D. dissertation (University of California, Berkeley, Berkeley, Calif., 1973).
  10. W. L. Fellinger, “Specifications for a fuzzy system modeling language,” Ph.D. dissertation (Oregon State University, Corvallis, Ore., 1974).
  11. E. H. Mamdani, S. Assilian, “An experiment in linguistic synthesis with a fuzzy logic controller,” Int. J. Man-Mach. Stud. 7, 1–13 (1975). [CrossRef]
  12. F. Wenstop, “Deductive verbal models of organizations,” Int. J. Man-Mach. Stud. 8, 293–311 (1976). [CrossRef]
  13. A. Kandel, S. C. Lee, Fuzzy Switching and Automata: Theory and Applications (Crane, Russak, N.Y., 1979).
  14. L. Liu, “Optical implementation of parallel fuzzy logic,” Opt. Commun. 73, 183–187 (1989). [CrossRef]
  15. G. C. Marsden, B. Olson, S. Esener, S. H. Lee, “Optoelectronic fuzzy logic system,” in Optical Computing, Vol. 6 of 1991 OSA Technical Digest Series (Optical Society of America, Washington, D.C., 1991), pp. 212–215.
  16. S. Zhang, S. Lin, C. Cheng, “Optical fuzzy vector-matrix composition operation using shadow-casting,” Opt. Commun. 94, 497–500 (1992). [CrossRef]
  17. S. Lin, I. Kumazawa, “Optical fuzzy image processing based-on shadow casting,” Opt. Commun. 94, 397–405 (1992). [CrossRef]
  18. S. Lin, S. Zhang, C. Chen, R. Liu, J. Wu, “Optical multiple-variable fuzzy logic array using shadow casting,” Microwave Opt. Tech. Lett. 6, 106–109 (1993). [CrossRef]
  19. H. Itoh, M. Watanabe, S. Mukai, H. Yajima, “Optoelectronic fuzzy logic inference system using beam scanning laser diodes,” in Optical Computing, Vol. 7 of 1993 OSA Technical Digtest Series (Optical Society of America, Washington, D.C., 1993), p. 123.
  20. M. M. Gupta, G. N. Saridis, B. R. Gaines, Fuzzy Automata and Decision Processes (North-Holland, Amsterdam, 1977), Chap. 4, pp. 83–97.
  21. T. Kohonen, Self-Organization and Associative Memory (Springer-Verlag, New York, (1984), pp. 1–176.
  22. S. Zhou, S. Campbell, P. Yeh, H. K. Liu, “Modified-signed-digit optical computing by using optical fan-out elements,” Opt. Lett. 17, 1697–1699 (1992). [CrossRef] [PubMed]

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