• Title/Summary/Keyword: fuzzy number data

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A Note on Linear Regression Model Using Non-Symmetric Triangular Fuzzy Number Coefficients

  • Hong, Dug-Hun;Kim, Kyung-Tae
    • Journal of the Korean Data and Information Science Society
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    • v.16 no.2
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    • pp.445-449
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    • 2005
  • Yen et al. [Fuzzy Sets and Systems 106 (1999) 167-177] calculated the fuzzy membership function for the output to find the non-symmetric triangular fuzzy number coefficients of a linear regression model for all given input-output data sets. In this note, we show that the result they obtained in their paper is invalid.

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ROBUST FUZZY LINEAR REGRESSION BASED ON M-ESTIMATORS

  • SOHN BANG-YONG
    • Journal of applied mathematics & informatics
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    • v.18 no.1_2
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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.

A Note on Interval Approximation of a Fuzzy Number

  • Hong, Dug-Hun;Kim, Kyung-Tae
    • Journal of the Korean Data and Information Science Society
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    • v.17 no.3
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    • pp.913-918
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    • 2006
  • Chanas(2001) introduced the notion of interval approximation of a fuzzy number with the condition that the width of this interval is equal to the width of the expected interval. In this note, this condition is relaxed and the resulting formulae are derived for determining the approximation interval. This interval is compared with the expected interval and approximation interval of a fuzzy number as introduced by Chanas.

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Fuzzy Test of Hypotheses by Rate of Internal Division (내분비에 의한 퍼지 가설 검정)

  • Kang, Man-Ki;Jung, Ji-Young
    • Journal of the Korean Institute of Intelligent Systems
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    • v.22 no.4
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    • pp.425-428
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    • 2012
  • We propose some properties for fuzzy hypotheses testing by the principle of the rate of internal division on delta-levels. By the rate of internal division, we show that the acceptance and rejection degree for fuzzy the fuzzy hypotheses and reduce the spread of the fuzzy variance with average of the center and left or right spread of fuzzy number data.

On statistical testing for fuzzy hypotheses with fuzzy data (퍼지자료에 관한 퍼지가설의 통계적 검정)

  • 최규탁;이창은;강만기
    • Proceedings of the Korean Institute of Intelligent Systems Conference
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    • 2000.11a
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    • pp.255-258
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    • 2000
  • We prepose fuzzy statistical test of fuzzy hypotheses membership function with fuzzy number data. Finding the maximum grade of the meeting point for fuzzy hypotheses membership function and membership function of confidence interval. By the maximum grade, we obtain the results to acceptance or reject for the test of fuzzy hypotheses.

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The Rank Transform Method in Nonparametric Fuzzy Regression Model

  • Choi, Seung-Hoe;Lee, Myung-Sook
    • Journal of the Korean Data and Information Science Society
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    • v.15 no.3
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    • pp.617-624
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    • 2004
  • In this article the fuzzy number rank and the fuzzy rank transformation method are introduced in order to analyse the non-parametric fuzzy regression model which cannot be described as a specific functional form such as the crisp data and fuzzy data as a independent and dependent variables respectively. The effectiveness of fuzzy rank transformation methods is compared with other methods through the numerical examples.

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Analysis of Cone Penetration Data Using Fuzzy C-means Clustering (Fuzzy C-means 클러스터링 기법을 이용한 콘 관입 데이터의 해석)

  • 우철웅;장병욱;원정윤
    • Magazine of the Korean Society of Agricultural Engineers
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    • v.45 no.3
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    • pp.73-83
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    • 2003
  • Methods of fuzzy C-means have been used to characterize geotechnical information from static cone penetration data. As contrary with traditional classification methods such as Robertson classification chart, the FCM expresses classes not conclusiveness but fuzzy. The results show that the FCM is useful to characterize ground information that can not be easily found by using normal classification chart. But optimal number of classes may not be easily defined. So, the optimal number of classes should be determined considering not only technical measures but engineering aspects.

Fuzzy Linear Regression with the Weakest t-norm

  • Lee, Sung-Ho;Kim, Kyung-Moo
    • Journal of the Korean Data and Information Science Society
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    • v.9 no.2
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    • pp.105-111
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    • 1998
  • In this paper a fuzzy regression model based on the weakest t-norm is introduced. The model shows a regression model which has fuzzy coefficients and fuzzy variables.

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

  • Kim Min-Soo;Chung Chan-Soo
    • The Transactions of the Korean Institute of Electrical Engineers D
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    • v.54 no.6
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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.

Rejection Degree by Fuzzy Significance Probability

  • Choi, Gyu-Tag;Park, Il-Soo;Nam, Hyun-Woo;Moon, Jong-Choon
    • Journal of Power System Engineering
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    • v.18 no.1
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    • pp.135-139
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    • 2014
  • We propose some properties for fuzzy hypothesis test by fuzzy significance probability. First, we define fuzzy number data and fuzzy significance probability for repeatedly observed data with alternated error term. By the agreement index, we compare fuzzy significance probability with significance level and drawing conclusions the degree of acceptance and rejection by agreement index.