Algebraic model of optical intelligence systems: geometrical optics approximation

Ravil Z. Zakirov; Alexander V. Pavlov

doi:10.1117/12.448347

14 November 2001 Algebraic model of optical intelligence systems: geometrical optics approximation

Proceedings Volume 4479, Applications and Science of Neural Networks, Fuzzy Systems, and Evolutionary Computation IV; (2001) https://doi.org/10.1117/12.448347
Event: International Symposium on Optical Science and Technology, 2001, San Diego, CA, United States

Abstract

We consider algebraic foundations of geometrical optics approximation. The consideration is aimed at optical implementation of computational intelligence models. Theory of triangular norms and measure means are used to formulate the description. The process of negative photo-registration is considered as the implementation of the negation, which generates the algebra. Three approximations of negative recording media transmittance are considered: linear, involutive, and non-involutive one. Optically realizable orders and relations of fuzzy numbers, fuzzy sets and images are considered.

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Ravil Z. Zakirov and Alexander V. Pavlov "Algebraic model of optical intelligence systems: geometrical optics approximation", Proc. SPIE 4479, Applications and Science of Neural Networks, Fuzzy Systems, and Evolutionary Computation IV, (14 November 2001); https://doi.org/10.1117/12.448347

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KEYWORDS

Fuzzy logic

Geometrical optics

Transparency

Transmittance

Systems modeling

Intelligence systems

Mathematical modeling

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