Realization of fuzzy algebra by Fourier holography

Alexander V. Pavlov

doi:10.1117/12.304927

1 April 1998 Realization of fuzzy algebra by Fourier holography

Alexander V. Pavlov

Proceedings Volume 3402, Optical Information Science and Technology (OIST97): Optical Memory and Neural Networks; (1998) https://doi.org/10.1117/12.304927
Event: Optical Information Science and Technology, 1997, Moscow, Russian Federation

Abstract

Hologram as a fuzzy relation of two subsets is treated. Fuzzy number as a Fourier-transform of the distribution in the plane of hologram is determined. To generate monoid of fuzzy numbers, convolution as an inner composition law is used. Realization of extended ariphmetic operations by holography is discussed.

Citation Download Citation

Alexander V. Pavlov "Realization of fuzzy algebra by Fourier holography", Proc. SPIE 3402, Optical Information Science and Technology (OIST97): Optical Memory and Neural Networks, (1 April 1998); https://doi.org/10.1117/12.304927

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