• 제목/요약/키워드: Type-2 Fuzzy Comparison

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타입-2 퍼지값의 순위결정 (A Ranking Method for Type-2 Fuzzy Values)

  • 이승수;이광형
    • 한국지능시스템학회논문지
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    • 제12권4호
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    • pp.341-346
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    • 2002
  • 주어진 값에 존재하는 불확실성을 표현하기 위하여 타입-1 퍼지값을 사용하듯이, 타입-1 퍼지값의 소속함수를 명확히 정의하기 어려운 경우에 타입-2 퍼지값을 사용할 수 있다. 타입-2 퍼지값은 타입-1 퍼지값에 비해 표현범위가 넓다는 장점이 있지만 타입-2 퍼지값의 사용을 위해서는 기존에 타입-1 퍼지값에서 정의되었던 연산들에 대한 확장된 재정의가 필요하다. 본 논문에서는 타입-2 퍼지값에 대한 비교 및 순위결정에 대한 방법을 제안하였다. 제안된 방법은 타입-2 퍼지값의 실제값과 그 실제값에 대한 가능성을 고려하여 비교결과를 산출하는 만족함수에 기반하고 있으며, 각각의 비교 및 순위결정 결과에 대한 가능성 혹은 신뢰도를 계산한다. 본 논문에서는 제안된 방법이 갖는 몇몇 특성에 대하여도 분석하였다.

타입-2 퍼지값의 순위결정 (A Ranking Method for Type-2 Fuzzy Values)

  • Lee, Seungsoo;Lee, Kwang H.
    • 한국지능시스템학회:학술대회논문집
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    • 한국퍼지및지능시스템학회 2002년도 춘계학술대회 및 임시총회
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    • pp.145-148
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    • 2002
  • Type-1 fuzzy value is used to show the uncertainty in a given value. But there exist many situations that it needs to be extended to type-2 fuzzy value because it is difficult to determine the crisp membership function itself. Intrinsically type-2 fuzzy values are more expressive and powerful than type-1 fuzzy values, but, at the same time, more difficult to be compared or ranked . In this paper, a ranking method for type-2 fuzzy values is proposed. It is based on the satisfaction function which shows the possibility that one type-2 fuzzy value is greater than the other type-2 fuzzy value Some properties of the proposed method are also analyzed .

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적응적 Multiple Kernels을 이용한 Interval Type-2 Possibilistic Fuzzy C-Means 방법 (A Novel Approach towards use of Adaptive Multiple Kernels in Interval Type-2 Possibilistic Fuzzy C-Means)

  • 주원희;이정훈
    • 한국지능시스템학회논문지
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    • 제24권5호
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    • pp.529-535
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    • 2014
  • 본 논문에서는 interval type-2 possibilistic fuzzy C-means(IT2PFCM) 클러스터링 방법에 multiple Gaussian kernels을 기반으로 한 possibilistic fuzzy C-means multiple kernels(PFCM-MK) 알고리즘을 결합하여 적응적인 하이브리드 클러스터링 방법인 multiple kernels interval type-2 possibilistic fuzzy C-means(IT2PFCM-MK) 방법을 제안 하였다. 일반적으로 possibilistic fuzzy C-means(PFCM) 알고리즘은 fuzzy C-means(FCM) 알고리즘의 단점인 노이즈 민감성 및 특이점 문제와 알고리즘 초기 클러스터의 Prototype에 따라 위치가 겹치는 문제를 해결하기 위해 제안 되었다. 하지만 이 방법 역시 퍼지화 파라미터 값에 따라 위와 같은 문제를 여전히 가지고 있기 때문에 이와 같은 문제를 보완하기 위해 interval type-2 퍼지 접근 방법을 이용 하는 interval type-2 possibilistic fuzzy C-means(IT2PFCM) 알고리즘을 제안 하였다. 또한 multiple kernels 함수를 interval type-2 possibilistic fuzzy C-means(IT2PFCM) 알고리즘에 적용하여 분류하기 복잡한 형태의 데이터와 노이즈가 있는 데이터에 대하여 보다 정확하고, 향상된 클러스터링을 수행할 수 있다.

Comparing type-1, interval and general type-2 fuzzy approach for dealing with uncertainties in active control

  • Farzaneh Shahabian Moghaddam;Hashem Shariatmadar
    • Smart Structures and Systems
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    • 제31권2호
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    • pp.199-212
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    • 2023
  • Nowadays fuzzy logic in control applications is a well-recognized alternative, and this is thanks to its inherent advantages. Generalized type-2 fuzzy sets allow for a third dimension to capture higher order uncertainty and therefore offer a very powerful model for uncertainty handling in real world applications. With the recent advances that allowed the performance of general type-2 fuzzy logic controllers to increase, it is now expected to see the widespread of type-2 fuzzy logic controllers to many challenging applications in particular in problems of structural control, that is the case study in this paper. It should be highlighted that this is the first application of general type-2 fuzzy approach in civil structures. In the following, general type-2 fuzzy logic controller (GT2FLC) will be used for active control of a 9-story nonlinear benchmark building. The design of type-1 and interval type-2 fuzzy logic controllers is also considered for the purpose of comparison with the GT2FLC. The performance of the controller is validated through the computer simulation on MATLAB. It is demonstrated that extra design degrees of freedom achieved by GT2FLC, allow a greater potential to better model and handle the uncertainties involved in the nature of earthquakes and control systems. GT2FLC outperforms successfully a control system that uses T1 and IT2 FLCs.

타입-2 퍼지 가중치 그래프에서의 최단경로문제 (Shortest Path Problem in a Type-2 Fuzzy Weighted Graph)

  • Lee, Seungsoo;Lee, Kwang H.
    • 한국지능시스템학회:학술대회논문집
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    • 한국퍼지및지능시스템학회 2001년도 추계학술대회 학술발표 논문집
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    • pp.314-318
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    • 2001
  • Constructing a shortest path on a graph is a fundamental problem in the area of graph theory. In an application where we cannot exactly determine the weights of edges, fuzzy weights can be used instead of crisp weights, and Type-2 fuzzy weights will be more suitable if this uncertainty varies under some conditions. In this paper, shortest path problem in type-1 fuzzy weighted graphs is extended for type-2 fuzzy weighted graphes. A solution is also given based on possibility theory and extension principle.

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퍼지추론 방법에 의한 퍼지동정과 하수처리공정시스템 응용 (Fuzzy Identification by means of Fuzzy Inference Method and Its Application to Wate Water Treatment System)

  • 오성권;주영훈;남위석;우광방
    • 전자공학회논문지B
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    • 제31B권6호
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    • pp.43-52
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    • 1994
  • A design method of rule-based fuzzy modeling is presented for the model identification of complex and nonlinear systems. The proposed rule-based fuzzy modeling implements system structure and parameter identification in the efficient form of ``IF....,THEN...', using the theories of optimization theory , linguistic fuzzy implication rules and fuzzy c-means clustering. Three kinds of method for fuzzy modeling presented in this paper include simplified inference (type I), linear inference (type 2), and modified linear inference (type 3). In order to identify premise structure and parameter of fuzzy implication rules, fuzzy c- means clustering and modified complex method are used respectively and the least sequare method is utilized for the identification of optimum consequence parameters. Time series data for gas furance and those for sewage treatment process are used to evaluate the performance of the proposed rule-based fuzzy modeling. Comparison shows that the proposed method can produce the fuzzy model with higher accuracy than previous other studies.

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최적 퍼지 직렬형 제어기 설계: Type-2 퍼지 제어기 및 공정경쟁기반 유전자알고리즘을 중심으로 (The Design of Optimized Fuzzy Cascade Controller: Focused on Type-2 Fuzzy Controller and HFC-based Genetic Algorithms)

  • 김욱동;장한종;오성권
    • 전기학회논문지
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    • 제59권5호
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    • pp.972-980
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    • 2010
  • In this study, we introduce the design methodology of an optimized type-2 fuzzy cascade controller with the aid of hierarchical fair competition-based genetic algorithm(HFCGA) for ball & beam system. The ball & beam system consists of servo motor, beam and ball, and remains mutually connected in line in itself. The ball & beam system determines the position of ball through the control of a servo motor. Consequently the displacement change of the position of the moving ball and its ensuing change of the angle of the beam results in the change of the position angle of a servo motor. The type-2 fuzzy cascade controller scheme consists of the outer controller and the inner controller as two cascaded fuzzy controllers. In type-2 fuzzy logic controller(FLC) as the expanded type of type-1 fuzzy logic controller(FLC), we can effectively improve the control characteristic by using the footprint of uncertainty(FOU) of membership function. The control parameters(scaling factors) of each fuzzy controller using HFCGA which is a kind of parallel genetic algorithms(PGAs). HFCGA helps alleviate the premature convergence being generated in conventional genetic algorithms(GAs). We estimated controller characteristic parameters of optimized type-2 fuzzy cascade controller applied ball & beam system such as maximum overshoot, delay time, rise time, settling time and steady-state error. For a detailed comparative analysis from the viewpoint of the performance results and the design methodology, the proposed method for the ball & beam system which is realized by the fuzzy cascade controller based on HFCGA, is presented in comparison with the conventional PD cascade controller based on serial genetic algorithms.

퍼지PID제어를 이용한 추종 제어기 설계 (Fuzzy PID Controller Design for Tracking Control)

  • 김봉주;정정주
    • 제어로봇시스템학회:학술대회논문집
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    • 제어로봇시스템학회 2000년도 제15차 학술회의논문집
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    • pp.68-68
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    • 2000
  • This paper presents a fuzzy modified PID controller that uses linear fuzzy inference method. In this structure, the proportional and derivative gains vary with the output of the system under control. 2-input PD type fuzzy controller is designed to obtain the varying gains. The proposed fuzzy PID structure maintains the same performance as the general-purpose linear PID controller, and enhances the tracking performance over a wide range of input. Numerical simulations and experimental results show the effectiveness of the fuzzy PID controller in comparison with the conventional PID controller.

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Fuzzy logic approach for estimating bond behavior of lightweight concrete

  • Arslan, Mehmet E.;Durmus, Ahmet
    • Computers and Concrete
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    • 제14권3호
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    • pp.233-245
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    • 2014
  • In this paper, a rule based Mamdani type fuzzy logic model for prediction of slippage at maximum tensile strength and slippage at rupture of structural lightweight concretes were discussed. In the model steel rebar diameters and development lengths were used as inputs. The FL model and experimental results, the coefficient of determination R2, the Root Mean Square Error were used as evaluation criteria for comparison. It was concluded that FL was practical method for predicting slippage at maximum tensile strength and slippage at rupture of structural lightweight concretes.

퍼지 PID 제어를 이용한 추종 제어기 설계 (Design of Fuzzy PID Controller for Tracking Control)

  • 김봉주;정정주
    • 제어로봇시스템학회논문지
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    • 제7권7호
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    • pp.622-631
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    • 2001
  • This paper presents a fuzzy modified PID controller that uses linear fuzzy inference method. In this structure, the proportional and derivative gains vary with the output of the system under control. 2-input PD type fuzzy controller is designed to obtain the varying gains. The proposed fuzzy PID structure maintains the same performance as the same performance as the general-purpose linear PID controller, and enhances the tracking performance over a wide range of input. Numerical simulations and experimental results show the effectiveness of the fuzzy PID controller in comparison with the conventional PID controller.

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