<title>Family of new operations equivalency of neuro-fuzzy logic: optoelectronic realization and applications</title>

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 snorm 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 fulfil 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.

Simulation results of optoelectronic photocurrent reconfigurable (OPR) universal logic devices (ULD) as the universal circuitry basis for advanced parallel high-performance processing

“…The circuits are developed on threshold elements, current comparators 23 (photocurrents) on current mirrors and circuits of limited subtraction (LS). These base elements are used for realization also others elements of continuous logic such as equivalentor (nonequivalentor) and so on 18,23,24 , but with analog amplitude, and non time-pulse coding. For realization of time -pulse coding elements of continuous matrix logic the picture ULE of two valued logic are needed for logic operation on time-pulse coded signals 7 .…”

The concept of biologically motivated time-pulse information processing for design and construction of multifunctional devices of neural logic

“…Functioning of most adequate for present day, frequency-dynamic models of neurons is described by means of mathematic apparatus of continuous logic (CL), hybrid logic, neuro-fuzzy logic and other logics, but in the long run, by means of more generalized logic -neurobiologic (NBL) 6,12,13 , which is the generalization of all known logics. It is impossible to find partial universal solution for all cases of such complex, versatile, infinite and dynamic existence of nervous system of living organisms.…”

“…Neuromodule is an array of physical hardware models of neurons with rearrangable parameters and flexibility of choice, necessary for modeling of function or operation, suitable algorithm of information processing with required and adaptive controlled accuracy of information processing and storing. Functioning of neural elements of such neuromodule must be described by future more generalized neurobiological 1,3 or the most generalized at present time logics: continuous, hybrid, neural, fuzzy, neuro-fuzzy and other logics [1][2][3][4][5][6] . Neuroelements, as the neuromodule itself, must possess connections and wide spectrum of executable functions with fast-programmable tuning.…”

Design of time-pulse coded optoelectronic neuronal elements for nonlinear transformation and integration

“…So as any concrete technical decision is a compromise between many contradictory requirements taking into account solvable tasks, the creation of universal, effective, neural module as a macroelement base for neurobiologic 3,4 , is, probably, the future task.…”

“…At the same time, searches for ways of creation of multifunction devices, which work on new mathematical, logical, hybrid, neural, neural-fuzzy bases and others like that, especially on the basis of the biologically explained conceptions, will always be actual 3,5,6 . Because just life and time choose the most optimal solutions from all offered and existent.…”