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Applied Optics

Applied Optics

APPLICATIONS-CENTERED RESEARCH IN OPTICS

  • Vol. 41, Iss. 23 — Aug. 10, 2002
  • pp: 4753–4761

Optical generation of fuzzy-based rules

Eran Gur, David Mendlovic, and Zeev Zalevsky  »View Author Affiliations


Applied Optics, Vol. 41, Issue 23, pp. 4753-4761 (2002)
http://dx.doi.org/10.1364/AO.41.004753


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Abstract

In the last third of the 20th century, fuzzy logic has risen from a mathematical concept to an applicable approach in soft computing. Today, fuzzy logic is used in control systems for various applications, such as washing machines, train-brake systems, automobile automatic gear, and so forth. The approach of optical implementation of fuzzy inferencing was given by the authors in previous papers, giving an extra emphasis to applications with two dominant inputs. In this paper the authors introduce a real-time optical rule generator for the dual-input fuzzy-inference engine. The paper briefly goes over the dual-input optical implementation of fuzzy-logic inferencing. Then, the concept of constructing a set of rules from given data is discussed. Next, the authors show ways to implement this procedure optically. The discussion is accompanied by an example that illustrates the transformation from raw data into fuzzy set rules.

© 2002 Optical Society of America

OCIS Codes
(040.1240) Detectors : Arrays
(050.1380) Diffraction and gratings : Binary optics
(050.1970) Diffraction and gratings : Diffractive optics
(070.4560) Fourier optics and signal processing : Data processing by optical means
(200.3760) Optics in computing : Logic-based optical processing

History
Original Manuscript: July 10, 2001
Revised Manuscript: March 26, 2002
Published: August 10, 2002

Citation
Eran Gur, David Mendlovic, and Zeev Zalevsky, "Optical generation of fuzzy-based rules," Appl. Opt. 41, 4753-4761 (2002)
http://www.opticsinfobase.org/ao/abstract.cfm?URI=ao-41-23-4753


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References

  1. L. A. Zadeh, “Fuzzy sets,” Inf. Control 8, 338–353 (1965). [CrossRef]
  2. E. Gur, D. Mendlovic, Z. Zalevsky, “Optical implementation of fuzzy logic controllers. Part I,” Appl. Opt. 37, 6937–6945 (1998). [CrossRef]
  3. L. A. Zadeh, “Fuzzy algorithms,” Inf. Control 12, 94–102 (1968). [CrossRef]
  4. M. Schneider, A. Kandel, G. Langholz, G. Chew, Fuzzy Expert System Tools (John Wiley and Sons, New York, 1996), Chaps. 9, 10.
  5. W. Pridzik, Fuzzy Control and Fuzzy Systems, 2nd ed. (Research Studies Press, Wiley and Sons, New York, 1993), Chap. 6.
  6. E. Gur, D. Mendlovic, Z. Zalevsky, “Optical implementation of fuzzy logic controllers. Part II,” Appl. Opt. 38, 4354–4358 (1999). [CrossRef]
  7. Z. Zalevsky, E. Gur, D. Mendlovic, “Discussion on multi-dimensional fuzzy control,” Appl. Opt. 39, 333–336 (2000). [CrossRef]
  8. R. W. Gerchberg, W. O. Saxton, “A practical algorithm for determination of phase from image and diffraction plane pictures,” Optik (Stuttgart) 35, 237–246 (1972).

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