• 제목/요약/키워드: interval fuzzy number

검색결과 65건 처리시간 0.026초

Existence of Solutions for the Semilinear Fuzzy Integrodifferential Equations using by Successive Iteration

  • Kwun, Young-Chel;Kim, Mi-Ju;Lee, Bu-Young;Park, Jin-Han
    • 한국지능시스템학회논문지
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    • 제18권4호
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    • pp.543-548
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    • 2008
  • This paper is to investigate the existence theorem for the semilinear fuzzy integrodifferential equation in $E_N$ by using the concept of fuzzy number whose values are normal, convex, upper semicontinuous and compactly supported interval in $E_N$. Main tool is successive iteration method.

집합치 쇼케이적분과 수렴정리에 관한 연구(II) (On set-valued Choquet integrals and convergence theorems(II))

  • 장이채;김태균;전종득
    • 한국지능시스템학회논문지
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    • 제12권4호
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    • pp.323-326
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    • 2002
  • 이 논문에서 구간 수의 값을 갖는 함수들의 쇼케이적분을 생각하고자 한다. 이러한 구간 수의 값을 갖는 함수들의 성질들을 조사하여 오토연속인 퍼지측도에 관련된 쇼케이적분에 대한 수렴성 정리를 증명한다.

퍼지수치 확률변수의 쇼케이 기댓값과 그 응용 (Choquet expected values of fuzzy number-valued random variables and their applications)

  • 장이채;김태균
    • 한국지능시스템학회논문지
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    • 제15권1호
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    • pp.98-103
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    • 2005
  • 본 논문에서는 구간수치 확률변수와 퍼지수치 확률변수를 생각하고 이들의 쇼케이 적분을 조사한다. 이러한 성질들을 이용하여 퍼지수치 확률변수의 르베그적분의 일반화인 퍼지수치 확률변수의 쇼케이 기대값을 정의한다. 특히 이들의 응용에 관한 예제들을 다룬다.

ROBUST FUZZY LINEAR REGRESSION BASED ON M-ESTIMATORS

  • SOHN BANG-YONG
    • Journal of applied mathematics & informatics
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    • 제18권1_2호
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    • pp.591-601
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    • 2005
  • The results of fuzzy linear regression are very sensitive to irregular data. When this points exist in a set of data, a fuzzy linear regression model can be incorrectly interpreted. The purpose of this paper is to detect irregular data and to propose robust fuzzy linear regression based on M-estimators with triangular fuzzy regression coefficients for crisp input-output data. Numerical example shows that irregular data can be detected by using the residuals based on M-estimators, and the proposed robust fuzzy linear regression is very resistant to this points.

삼각퍼지수를 이용한 시계열모형 (Time Series Using Fuzzy Logic)

  • 정혜영;최승회
    • Communications for Statistical Applications and Methods
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    • 제15권4호
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    • pp.517-530
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    • 2008
  • 본 논문은 시간의 흐름에 따라 일정한 간격으로 관측된 시계열자료에 대한 통계적인 관계를 추정하기 위하여 삼각퍼지수를 이용한 퍼지시계열모형을 소개한다. 모든 관측치를 포함하는 전체집합을 분할하는 구간을 자료의 빈도수에 따라 결정하고 연속되는 두 시점에서 퍼지수가 일치하는 경우에는 관측된 자료의 차에 대한 정보를 이용하여 제안된 퍼지시계열모형을 추정한다. 예제를 이용하여 제안된 퍼지시계열모형의 정확성을 일반적인 시계열모형과 여러 가지 방법으로 추정된 퍼지시계열모형과 비교한다.

Existence and Uniqueness of Solutions for the Semilinear Fuzzy Integrodifferential Equations with Nonlocal Conditions and Forcing Term with Memory

  • Kwun, Young-Chel;Park, Jong-Seo;Kim, Seon-Yu;Park, Jin-Han
    • International Journal of Fuzzy Logic and Intelligent Systems
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    • 제6권4호
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    • pp.288-292
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    • 2006
  • Many authors have studied several concepts of fuzzy systems. Balasubramaniam and Muralisankar (2004) proved the existence and uniqueness of fuzzy solutions for the semilinear fuzzy integrodifferential equation with nonlocal initial condition. Recently, Park, Park and Kwun (2006) find the sufficient condition of nonlocal controllability for the semilinear fuzzy integrodifferential equation with nonlocal initial condition. In this paper, we study the existence and uniqueness of solutions for the semilinear fuzzy integrodifferential equations with nonlocal condition and forcing term with memory in $E_{N}$ by using the concept of fuzzy number whose values are normal, convex, upper semicontinuous and compactly supported interval in $E_{N}$.

병렬구조 퍼지시스템을 이용한 태양흑점 시계열 데이터의 예측 (Prediction of Sunspot Number Time Series using the Parallel-Structure Fuzzy Systems)

  • 김민수;정찬수
    • 대한전기학회논문지:시스템및제어부문D
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    • 제54권6호
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    • pp.390-395
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    • 2005
  • Sunspots are dark areas that grow and decay on the lowest level of the sun that is visible from the Earth. Shot-term predictions of solar activity are essential to help plan missions and to design satellites that will survive for their useful lifetimes. This paper presents a parallel-structure fuzzy system(PSFS) for prediction of sunspot number time series. The PSFS consists of a multiple number of component fuzzy systems connected in parallel. Each component fuzzy system in the PSFS predicts future data independently based on its past time series data with different embedding dimension and time delay. An embedding dimension determines the number of inputs of each component fuzzy system and a time delay decides the interval of inputs of the time series. According to the embedding dimension and the time delay, the component fuzzy system takes various input-output pairs. The PSFS determines the final predicted value as an average of all the outputs of the component fuzzy systems in order to reduce error accumulation effect.

Controllability for the Semilinear Fuzzy Integrodifferential Equations with Nonlocal Conditions and Forcing Term with Memory

  • Yoon, Joung-Hahn;Kwun, Young-Chel;Park, Jong-Seo;Park, Jin-Han
    • International Journal of Fuzzy Logic and Intelligent Systems
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    • 제7권1호
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    • pp.34-40
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    • 2007
  • Balasubramaniam and Muralisankar (2004) proved the existence and uniqueness of fuzzy solutions for the semilinear fuzzy integrodifferential equations with nonlocal initial condition. Park et al. (2006) found the sufficient condition of this system. Recently, Kwun et al. (2006) proved the existence and uniqueness of solutions for the semilinear fuzzy integrodifferential equations with nonlocal initial conditions and forcing term with memory in $E_N$. In this paper, we study the controllability for this system by using the concept of fuzzy number whose values are normal, convex, upper semicontinuous and compactly supported interval in $E_N$.

밀도 함수를 이용한 근사적 퍼지 클러스터링 (Approximate fuzzy clustering based on a density function)

  • 손세호;권순학;최윤혁
    • 한국지능시스템학회:학술대회논문집
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    • 한국퍼지및지능시스템학회 2000년도 춘계학술대회 학술발표 논문집
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    • pp.94-97
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    • 2000
  • We introduce an approximate fuzzy clustering method, which is simple but computationally efficient, based on density functions in this paper. The density functions are defined by the number of data within the predetermined interval. Numerical examples are presented to show the validity of the proposed clustering method.

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Type-2 FCM 기반 퍼지 추론 시스템의 설계 및 최적화 (Design of Type-2 FCM-based Fuzzy Inference Systems and Its Optimization)

  • 박건준;김용갑;오성권
    • 전기학회논문지
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    • 제60권11호
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    • pp.2157-2164
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    • 2011
  • In this paper, we introduce a new category of fuzzy inference system based on Type-2 fuzzy c-means clustering algorithm (T2FCM-based FIS). The premise part of the rules of the proposed model is realized with the aid of the scatter partition of input space generated by Type-2 FCM clustering algorithm. The number of the partition of input space is composed of the number of clusters and the individual partitioned spaces describe the fuzzy rules. Due to these characteristics, we can alleviate the problem of the curse of dimensionality. The consequence part of the rule is represented by polynomial functions with interval sets. To determine the structure and estimate the values of the parameters of Type-2 FCM-based FIS we consider the successive tuning method with generation-based evolution by means of real-coded genetic algorithms. The proposed model is evaluated with the use of numerical experimentation.