• 제목/요약/키워드: Fuzzy Convergence

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Some Fundamental Concepts in (2, L)-Fuzzy Topology Based on Complete Residuated Lattice-Valued Logic

  • Zeyada, Fathei M.;Zahran, A.M.;El-Baki, S.A.Abd;Mousa, A.K.
    • International Journal of Fuzzy Logic and Intelligent Systems
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    • 제10권3호
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    • pp.230-241
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    • 2010
  • In the present paper we introduce and study fundamental concepts in the framework of L-fuzzifying topology(so called(2,L)-fuzzy topology)as L-concepts where L is a complete residuated lattice. The concepts of (2,L)-derived, (2,L)-closure, (2,L)-interior, (2,L)-exterior and (2,L)-boundary operators are studied and some results on above concepts are obtained. Also, the concepts of an L-convergence of nets and an L-convergence of filters are introduced and some important results are obtained. Furthermore, we introduce and study bases and subbases in (2,L)-topology. As applications of our work the corresponding results(see[10-11]) are generalized and new consequences are obtained.

계층적 구조를 가진 퍼지 패턴 분류기 설계 (A Design of Fuzzy Classifier with Hierarchical Structure)

  • 안태천;노석범;김용수
    • 한국지능시스템학회논문지
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    • 제24권4호
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    • pp.355-359
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    • 2014
  • 본 논문은 단순한 후반부 구조를 가진 퍼지 모델을 계층적 구조로 결합한 퍼지 패턴 분류기를 제안한다. 계층적 구조를 가진 퍼지 패턴 분류기의 기본 구조는 단순한 후반부 구조를 가진 퍼지 모델을 사용하여 전체 패턴 분류기의 구조적 복잡성을 높이지 않도록 설계 하였다. 입력공간을 계층적으로 분할하기 위하여 대표적인 퍼지 클러스터링 알고리즘인 Fuzzy C-Means clustering 기법을 이용하였다. 분할된 퍼지 입력 공간의 하위 구조를 분석하기 위하여 conditional Fuzzy C-Means 클러스터링 기법을 이용하였다. 계층적으로 분할된 퍼지 입력공간에 간단한 구조를 가진 퍼지 패턴 분류기를 적용하여 계층적 구조를 가진 패턴 분류기를 설계한다. 계층적으로 퍼지 모델들을 결합함으로써 입력 공간의 정보 분석을 거시적인 관점에서 시작하여 세부적으로 분석이 가능하게 되었다. 제안된 퍼지 패턴 분류기의 성능을 평가하기 위하여 다양한 기계 학습 데이터를 사용하였다.

Limit Theorems for Fuzzy Martingales

  • Joo, Sang-Yeol;Kim, Gwan-Young;Kim, Yun-Kyong
    • Journal of the Korean Statistical Society
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    • 제28권1호
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    • pp.21-34
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    • 1999
  • In this paper, conditional expectation of a fuzzy random variable is introduced and its properties are investigated. Using this, we introduce the concept of fuzzy martingales and prove some convergence theorems which generalize te corresponding results for the classical martingales.

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Takagi-Sugeno 퍼지모델에 기반한 반복학습제어 시스템: 이차원 시스템이론을 이용한 접근방법 (Takagi-Sugeno Fuzzy Model-Based Iterative Learning Control Systems: A Two-Dimensional System Theory Approach)

  • 추준욱;이연정;최봉열
    • 제어로봇시스템학회논문지
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    • 제8권5호
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    • pp.385-392
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    • 2002
  • This paper introduces a new approach to analysis of error convergence for a class of iterative teaming control systems. Firstly, 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 if the form of T-S fuzzy model. We analyze the error convergence in the sense of induced L$_2$-norm, where the effects of disturbances and initial conditions on 2-D error are considered. The iterative teaming controller design problem to guarantee the error convergence can be reduced to the linear matrix inequality problem. This method provides a systematic design procedure for iterative teaming controller. A simulation example is given to illustrate the validity of the proposed method.

HW/SW Co-design of a Visual Driver Drowsiness Detection System

  • Yu, Tian;Zhai, Yujia
    • 중소기업융합학회논문지
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    • 제4권1호
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    • pp.31-39
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    • 2014
  • PID 오토 튜닝 컨트롤러는 퍼지 논리를 통해 설계되었다. 이러한 오류 및 오류 파생 의견으로 일반적인 값은 발견적 표현으로 변경, 그들은 퍼지 및 defuzzification 과정을 통해 PID 이득을 결정했다. 퍼지 절차 및 PID 제어기 설계는 개별적으로 간주하고, 그것들을 혼합하고, 분석 하였다. 퍼지 논리에 의해 획득 자동 조정 PID 컨트롤러는 3 차 플랜트 제어 이하의 능력을 보여 주었다. 또한 설계된 자동 동조 방식으로 추적 문제를 참조하는 데 적용한다.

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PI 및 PD Type Fuzzy Controller의 자기동조에 관한 연구 (A study on self tuning fuzzy PI and PD type controller)

  • 이상석
    • 한국산업융합학회 논문집
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    • 제3권1호
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    • pp.3-8
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    • 2000
  • This paper describes a development of self tuning scheme for PI and PO type fuzzy controllers. The output scaling factor(SF) is adjusted on-line by fuzzy rules according to the current trend of the controlled process. The rule-base for tuning the output SF is defined on error and change of error for the controlled variable using the most natural and unbiased membership functions. Simulation results demonstrate the better control performance can be achieved in comparison with Ziegler-Nichols(Z-N) PID controllers.

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퍼지이론을 이용한 CNC 공작기계의 절삭력제어 (Cutting Force Control of a CNC Machine Using Fuzzy Theory)

  • 노상현;이상규;박운환;임윤규
    • 한국산업융합학회 논문집
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    • 제3권2호
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    • pp.123-130
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    • 2000
  • Fuzzy control is proposed to regulate cutting force in turning operations under varying cutting conditions. The traditional linear controllers based on crisp mathematical model cannot effectively control cutting force becasue of the nonlinear dynamics of turning operations. The proposed fuzzy controller is based on operator experience and expert knowledge. The membership functions for the inputs and the output of the controller are designed. Cutting force is regulated by adjusting feedrate according to the variation of cutting conditions. The performance of the proposed controller is evaluated by experiments. The results of experiments show that the proposed fuzzy controller has a good cutting force regulation over a wide range of cutting conditions.

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변조함수를 이용하는 하이브리드 퍼지 논리 제어기 (Hybrid Fuzzy Logic Controller using Modulation Function)

  • 이평기
    • 한국산업융합학회 논문집
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    • 제6권4호
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    • pp.393-399
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    • 2003
  • In this paper, a self-organizing fuzzy logic controller with hybrid structure is proposed. The structure of the proposed method is composed of a basic fuzzy logic controller and the FARMA SOC(Fuzzy Autoregressive Moving Average Self-organizing Controller). The self-organizing cntroller with hybrid structure has advantage over the FARMA controller as follows. The proposed controller improves poor performance due to the lack of I/O data to calculate predictive output. I executed some computer simulations on the regulation problem of an inverted pendulum system and compared the results of the proposed method with those of the FARMA SOC method.

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퍼지 PI 형 도달법칙을 가지는 가변 구조 제어기의 설계 (The Design of a Sliding Mode Controller with Fuzzy PI-type Reaching Law)

  • 이재호;조기원;채창현;이상재
    • 융합신호처리학회 학술대회논문집
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    • 한국신호처리시스템학회 2001년도 하계 학술대회 논문집(KISPS SUMMER CONFERENCE 2001
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    • pp.105-108
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    • 2001
  • In this paper, we proposed a variable structure controller with fuzzy PI-쇼pe reaching law. we fuzzified as inputs to fuzzy system Rf(representative point's orthogonal distance(rd) to switching surface and RP's distance(r) to the origin of the 2-dimensional space whose coordinates are the error and the error rate. The increments of the coefficients $k_{p}$ and $k_{i}$, of the reaching law are calculated appropriate by the simplified Mamdanl inference. The proposed fuzzy PI-type reaching law makes it reduce the chattering and has no need to tune the PI parameters of reaching law. The effectiveness of the proposed fuzzy PI-type reaching law is shown by the simulation results of the control of a Ball-balance System.

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