• Journal of the Korean Institute of Intelligent Systems
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• v.11 no.4
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• pp.311-314
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• 2001

Recently, research on Intelligent Information Process has actively been under way JD various areas and gradually extended to be adaptive to uncertain and complex dynamic environments. This paper presents a Multiple Valued Logic Automata(MVL-Automata) Model, utilizing properties of difference in a Multiple Valued Logic function. That is, MVL-Automata is able to be autonomously adapted to dynamic changing since an input stling is mapped to the value of a Multiple Valued Logic function and the property of difference in a Multiple Valued Logic function is applied to state transition. Therefore, Multiple Valued Logic Automata can be widely applied to the modeling dynamically of changing environments.

• Journal of IKEEE
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• v.3 no.2 s.5
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• pp.295-304
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• 1999

This paper presents a method of constructing the Multiple-Valued Logic Systems(MVLS) over Finite Fields(FF) using by Decision Diagram(DD) that is based on Graph Theory. The proposed method is as following. First, we derivate the Ordered Multiple-Valued Logic Decision Diagram(OMVLDD) based on the multiple-valued Shannon's expansion theorem and we execute function decomposition using by sub-graph. Next, we propose the variable selecting algorithm and simplification algorithm after apply the each isomorphism and reodering vertex. Also we propose MVLS design method.

• Journal of the Institute of Convergence Signal Processing
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• v.6 no.3
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• pp.134-142
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• 2005

The implementation of Multiple-Valued Logic(MVL) based on Current-Mode CMOS Logic(CMCL) circuits has recently been achieved. In this paper, four-valued Unary Multiple-Valued logic functions are synthesized using current-mode CMOS logic circuits. We properly make use of the fact that the CMCL addition of logic values represented using discrete current values can be performed at no cost and that negative logic values are readily available via reversing the direction of current flow. A synthesis process for CMCL circuits is based upon a logically complete set of basic elements. Proposed algorithm results in less expensive realization than those achieved using existing techniques in terms of the number of transistors needed. As an alternative to the cost-table techniques Universal Unary Programmable Circuit (UUPC) for a unary function is also proposed.

• Journal of the Korean Institute of Telematics and Electronics
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• v.20 no.5
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• pp.1-7
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• 1983

Generally, multiple-valued logic algebra is based on the number system of modulo-M. In this paper, characters a, b, c‥… each of them represents the independent state, are regarded as the elements of the symbolic multiple-valued logic. By using the set theory, the symbolic multiple - valued logic and their functions are defined. And Varation for the symbolic logic function due to the variation of a variable and their properties are suggested and analized. With these variations, the MacLaurin's and Taylor's Series expansions of the symbolic logic functions are proposed and proved.

• The KIPS Transactions:PartA
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• v.14A no.2
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• pp.107-116
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• 2007

In this paper, we present a method on the construction of multiple-valued circuits using Reed-Muller Expansions(RME). First, we discussed the input output interconnection of multiple valued function using Perfect Shuffle techniques and Kronecker product and designed the basic cells of performing the transform matrix and the reverse transform matrix of multiple valued RME using addition circuit and multiplication circuit of GF(4). Using these basic cells and the input-output interconnection technique based on Perfect Shuffle and Kronecker product, we implemented the multiple valued logic circuit based on RME. The proposed design method of multiple valued RME is simple and very efficient to reduce addition circuits and multiplication circuits as compared with other methods for same function because of using matrix transform based on modular structures. The proposed design method of multiple valued logic circuits is simple and regular for wire routing and possess the properties of concurrency and modularity of array.

• Journal of the Korean Institute of Intelligent Systems
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• v.19 no.1
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• pp.13-18
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• 2009

Usually, human emotions are vague and change diversely on the basis of the stimulus from the outside. Plutchik classified the fundamental behavioral patterns into eight patterns, named each of them a genuine emotion, and furthermore suggested mixed emotions using a combination of genuine emotions. In this paper, we propose a method for processing Plutchik's emotion model using Multiple Valued Logic(MVL) Automata Model which utilizes the properties of difference in Multiple Valued Logic functions. This proposed emotion processing model can be widely applied to the analysis and processing of emotion data.

• International Journal of Fuzzy Logic and Intelligent Systems
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• v.2 no.3
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• pp.215-220
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• 2002

This paper proposes a method to apply the Backpropagation(BP) algorithm of MVL(Multi-Valued Logic) Neural Network to pattern recognition. It extracts the property of an object density about an original pattern necessary for pattern processing and makes the property of the object density mapped to MVL. In addition, because it team the pattern by using multiple valued logic, it can reduce time f3r pattern and space fer memory to a minimum. There is, however, a demerit that existed MVL cannot adapt the change of circumstance. Through changing input into MVL function, not direct input of an existed Multiple pattern, and making it each variable loam by neural network after calculating each variable into liter function. Error has been reduced and convergence speed has become fast.

• Proceedings of the Korean Institute of Intelligent Systems Conference
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• 2002.12a
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• pp.502-505
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• 2002

본 논문은 다치(MVL:Multiple Valued Logic) 신경망의 BP(Backpropagation) 학습 알고리즘을 이용하여 패턴 인식에 이용하는 방법을 제안한다. MVL 신경망을 이용하여 패턴 인식에 이용함으로서, 네트워크에 필요한 시간 및 기억 공간을 최소화할 수 있고 환경 변화에 적응할 수 있는 가능성을 제시하였다. MVL 신경망은 다치 논리 함수를 기반으로 신경망을 구성하였으며, 입력은 리터럴 함수로 변환시키고, 출력은 MIN과 MAX 연산을 사용하여 구하였고, 학습을 하기 위해 다치 논리식의 편 미분을 사용하였다.

• Journal of the Institute of Electronics Engineers of Korea SC
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• v.39 no.3
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• pp.191-200
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• 2002

In this paper, we present the method transforming the interval functions into the truncated difference functions for multi-variable multi-valued functions and implementing the truncated difference functions to the multiple valued logic circuits with uniform patterns using the current mirror circuits and the inhibit circuits by current-mode CMOS. Also, we apply the presented methods to the implementation of circuits for additive truth table of 2-variable 4-valued MOD(4) and multiplicative truth table of 2-variable 4-valued finite fields GF(4). These circuits are simulated under 2${\mu}{\textrm}{m}$ CMOS standard technology, 15$mutextrm{A}$ unit current, and 3.3V power supply voltage using PSpice. The simulation results have shown the satisfying current characteristics. Both implemented circuits using current-mode CMOS have the uniform Patterns and the regularity of interconnection. Also, it is expansible for the variables of multiple valued logic functions and are suitable for VLSI implementation.

• Journal of the Korean Institute of Telematics and Electronics C
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• v.34C no.12
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• pp.43-53
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• 1997

In this paper, the optimal synthesis algorithm of multiple-valued logic circuits using universal logic modules (ULM) U$_{f}$ based on 3-variable ternary reed-muller expansions is presented. We check the degree of each varable for the coefficients of reed-muller expansions and determine the order of optimal control input variables that minimize the number of ULM U$_{f}$ modules. The order of optimal control input variables is utilized the realization of multiple-valued logic circuits to be constructed by ULM U$_{f}$ modules based on reed-muller expansions using the circuit cost matrix. This algorithm is performed only unit time in order to search for the optimal control input variables. Also, this algorithm is able to be programmed by computer and the run time on programming is O(p$^{n}$ ).