• 제목/요약/키워드: Fuzzy Convergence

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동적 역치 조정을 이용한 퍼지 단층 퍼셉트론 (Fuzzy Single Layer Perceptron using Dynamic Adjustment of Threshold)

  • 조재현;김광백
    • 한국컴퓨터정보학회논문지
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    • 제10권5호
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    • pp.11-16
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    • 2005
  • 최근에 퍼지 이론을 인공 신경망에 접목하여 개선된 성능을 보이려는 경향이 많다. Goh는 퍼지단층 퍼셉트론 알고리즘과 일반적인 델타 규칙(Generalized delta rule)에 기반한 개선된 퍼지 퍼셉트론을 제안하여 Exclusive-OR(XOR) 문제 등을 해결하였다 그러나 이 방법은 계산량의 증가와 복잡한 영상인식에 적응하기에는 어려움이 있다. 논문에서는 동적 역치조정에 의한 개선된 퍼지 단층 퍼셉트론을 제안한다. 제안된 방법은 페턴인식의 벤치마크로 사용되는 XOR문제에 적용된다. 또한 영상 응용영역으로서 디지털 영상의 인식에 적용한다. 실험결과에서 항상 수렴하지는 않지만 그러나 제안된 모델은 학습시간의 개선과 높은 수렴율을 보였다.

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Some Properties of Choquet Integrals with Respect to a Fuzzy Complex Valued Fuzzy Measure

  • Jang, Lee-Chae;Kim, Hyun-Mee
    • International Journal of Fuzzy Logic and Intelligent Systems
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    • 제11권2호
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    • pp.113-117
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    • 2011
  • In this paper, we consider fuzzy complex valued fuzzy measures and Choquet integrals with respect to a fuzzy measure of real-valued measurable functions. In doing so, we investigate some basic properties and convergence theorems.

Filter Convergence and Fuzzy Topology

  • Min, Kyung-Chan;Lee, Yoon-Jin;Myung, Jae-Deuk
    • International Journal of Fuzzy Logic and Intelligent Systems
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    • 제10권4호
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    • pp.269-274
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    • 2010
  • After introducing many different types of prefilter convergence, we introduce an universal method to define various notions of compactness using cluster point and convergence of a prefilter and to prove the Tychonoff theorem using characterizations of ultra(maximal) prefilters.

ON MARCINKIEWICZ'S TYPE LAW FOR FUZZY RANDOM SETS

  • Kwon, Joong-Sung;Shim, Hong-Tae
    • Journal of applied mathematics & informatics
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    • 제32권1_2호
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    • pp.55-60
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    • 2014
  • In this paper, we will obtain Marcinkiewicz's type limit laws for fuzzy random sets as follows : Let {$X_n{\mid}n{\geq}1$} be a sequence of independent identically distributed fuzzy random sets and $E{\parallel}X_i{\parallel}^r_{{\rho_p}}$ < ${\infty}$ with $1{\leq}r{\leq}2$. Then the following are equivalent: $S_n/n^{\frac{1}{r}}{\rightarrow}{\tilde{0}}$ a.s. in the metric ${\rho}_p$ if and only if $S_n/n^{\frac{1}{r}}{\rightarrow}{\tilde{0}}$ in probability in the metric ${\rho}_p$ if and only if $S_n/n^{\frac{1}{r}}{\rightarrow}{\tilde{0}}$ in $L_1$ if and only if $S_n/n^{\frac{1}{r}}{\rightarrow}{\tilde{0}}$ in $L_r$ where $S_n={\Sigma}^n_{i=1}\;X_i$.

Takagi-Sugeno Fuzzy Model-based Iterative Learning Control Systems: A Two-dimensional System Theory Approach

  • Chu, Jun-Uk;Lee, Yun-Jung
    • 제어로봇시스템학회:학술대회논문집
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    • 제어로봇시스템학회 2001년도 ICCAS
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    • pp.169.3-169
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    • 2001
  • This paper introduces a new approach to analysis of error convergence for a class of iterative learning control systems. First, a nonlinear plant is represented using a Takagi-Sugeno(T-S) fuzzy model. Then each iterative learning controller is designed for each linear plant in the T-S fuzzy model. From the view point of two-dimensional(2-D) system theory, we transform the proposed learning systems to a 2-D error equation, which is also established in the form of T-S fuzzy model. We analysis the error convergence in the sense of induced 2 L -norm, where the effects of disturbances and initial conditions on 2-D error are considered. The iterative learning controller design problem to guarantee the error convergence can be reduced to linear matrix inequality problems. In comparison with others, our learning algorithm ...

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퍼지 LMS 알고리즘을 이용한 공조덕트에서의 능동소음제어 (Active Control of Noise in HVAC Ducts Using Fuzzy LMS Algorithms)

  • 남현도;안동준;박용식
    • 소음진동
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    • 제9권2호
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    • pp.265-272
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    • 1999
  • A LMS algorithms has been widely used for an adaptive filter algorithm in active noise control systems. But this algorithm has poor convergence and it is very difficult to select optimal convergence parameters in this algorithm. In this paper, a fuzzy LMS algorithm where the convergence parameters are computed using a fuzzy logic controller was proposed. A proposed algorithm was applied to active noise control system in HVAC(central Heating Ventilation and Air Conditioning) ducts. The experimental ducts and experimental apparatus were designed and manufactured for experiments, and the modelling of the experimental ducts was also performed for computer simulations. Computer simulations and experiments were performed to show the effectiveness of a proposed algorithm.

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A Design of Dynamically Simultaneous Search GA-based Fuzzy Neural Networks: Comparative Analysis and Interpretation

  • Park, Byoung-Jun;Kim, Wook-Dong;Oh, Sung-Kwun
    • Journal of Electrical Engineering and Technology
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    • 제8권3호
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    • pp.621-632
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    • 2013
  • In this paper, we introduce advanced architectures of genetically-oriented Fuzzy Neural Networks (FNNs) based on fuzzy set and fuzzy relation and discuss a comprehensive design methodology. The proposed FNNs are based on 'if-then' rule-based networks with the extended structure of the premise and the consequence parts of the fuzzy rules. We consider two types of the FNNs topologies, called here FSNN and FRNN, depending upon the usage of inputs in the premise of fuzzy rules. Three different type of polynomials function (namely, constant, linear, and quadratic) are used to construct the consequence of the rules. In order to improve the accuracy of FNNs, the structure and the parameters are optimized by making use of genetic algorithms (GAs). We enhance the search capabilities of the GAs by introducing the dynamic variants of genetic optimization. It fully exploits the processing capabilities of the FNNs by supporting their structural and parametric optimization. To evaluate the performance of the proposed FNNs, we exploit a suite of several representative numerical examples and its experimental results are compared with those reported in the previous studies.

Information Management by Data Quantification with FuzzyEntropy and Similarity Measure

  • Siang, Chua Hong;Lee, Sanghyuk
    • 한국융합학회논문지
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    • 제4권2호
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    • pp.35-41
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    • 2013
  • Data management with fuzzy entropy and similarity measure were discussed and verified by applying reliable data selection problem. Calculation of certainty or uncertainty for data, fuzzy entropy and similarity measure are designed and proved. Proposed fuzzy entropy and similarity are considered as dissimilarity measure and similarity measure, and the relation between two measures are explained through graphical illustration.Obtained measures are useful to the application of decision theory and mutual information analysis problem. Extension of data quantification results based on the proposed measures are applicable to the decision making and fuzzy game theory.

PID auto-tuning controller design via fuzzy logic

  • He, Wei;Yu, Tian;Zhai, Yujia
    • 한국융합학회논문지
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    • 제4권4호
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    • pp.31-40
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    • 2013
  • PID auto-tuning controller was designed via fuzzy logic. Typical values such as error and error derivative feedbackwere changed as heuristic expressions, and they determine PID gain through fuzzy logic and defuzzification process. Fuzzy procedure and PID controller design were considered separately, and they are combined and analyzed. Obtained auto-tuning PID controller by Fuzzy Logic showed the ability for less than 3rd order plant control.

퍼지학습법을 이용한 크레인 제어 (Control of Crane System Using Fuzzy Learning Method)

  • 노상현;임윤규
    • 한국산업융합학회 논문집
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    • 제2권1호
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    • pp.61-67
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    • 1999
  • An active control for the swing of crane systems is very important for increasing the productivity. This article introduces the control for the position and the swing of a crane using the fuzzy learning method. Because the crane is a multi-variable system, learning is done to control both position and swing of the crane. Also the fuzzy control rules are separately acquired with the loading and unloading situation of the crane for more accurate control. And We designed controller by fuzzy learning method, and then compare fuzzy learning method with LQR. The result of simulations shows that the crane is controlled better than LQR for a very large swing angle of 1 radian within nearly one cycle.

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