Family of new operations equivalency of neuro-fuzzy logic: optoelectronic realization and applications

Vladimir G. Krasilenko; Alexander I. Nikolsky; Victor I. Yatskovsky; K. V. Ogorodnik; Sergey Lischenko

doi:10.1117/12.477429

1 August 2002 Family of new operations equivalency of neuro-fuzzy logic: optoelectronic realization and applications

Vladimir G. Krasilenko, Alexander I. Nikolsky, Victor I. Yatskovsky, K. V. Ogorodnik, Sergey Lischenko

Proceedings Volume 4732, Photonic and Quantum Technologies for Aerospace Applications IV; (2002) https://doi.org/10.1117/12.477429
Event: AeroSense 2002, 2002, Orlando, FL, United States

Abstract

The perspective of neural networks equivalental models (EM) base on vector-matrix procedure with basic operations of continuous and neuro-fuzzy logic (equivalence, absolute difference) are shown. Capacity on base EMs exceeded the amount of neurons in 2.5 times. This is larger than others neural networks paradigms. Amount neurons of this neural networks on base EMs may be 10 - 20 thousands. The base operations in EMs are normalized equivalency operations. The family of new operations equivalency and non-equivalency of neuro-fuzzy logic's, which we have elaborated on the based of such generalized operations of fuzzy-logic's as fuzzy negation, t-norm and s-norm are shown. Generalized rules of construction of new functions (operations) equivalency which uses relations of t-norm and s-norm to fuzzy negation are proposed. Among these elements the following should be underlined: (1) the element which fulfills the operation of limited difference; (2) the element which algebraic product (intensifier with controlled coefficient of transmission or multiplier of analog signals); (3) the element which fulfills a sample summarizing (uniting) of signals (including the one during normalizing). Synthesized structures which realize on the basic of these elements the whole spectrum of required operations: t-norm, s-norm and new operations equivalency are shown. These realization on the basic of new multifunctional optoelectronical BISPIN- devices (MOEBD) represent the circuit with constant and pulse optical input signals. They are modeling the operation of limited difference. These circuits realize frequency- dynamic neuron models and neural networks. Experimental results of these MOEBD and equivalency circuits, which fulfill the limited difference operation are discussed. For effective realization of neural networks on the basic of EMs as it is shown in report, picture elements are required as main nodes to implement element operations equivalence ('non-equivalence') of neuro-fuzzy logic's.

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Vladimir G. Krasilenko, Alexander I. Nikolsky, Victor I. Yatskovsky, K. V. Ogorodnik, and Sergey Lischenko "Family of new operations equivalency of neuro-fuzzy logic: optoelectronic realization and applications", Proc. SPIE 4732, Photonic and Quantum Technologies for Aerospace Applications IV, (1 August 2002); https://doi.org/10.1117/12.477429

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