• Title/Summary/Keyword: fuzzy confidence interval

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Fuzzy Test for the Fuzzy Regression Coefficient (퍼지회귀계수에 관한 퍼지검정)

  • 강만기;정지영;최규탁
    • Proceedings of the Korean Institute of Intelligent Systems Conference
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    • 2001.05a
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    • pp.29-33
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    • 2001
  • We propose fuzzy least-squares regression analysis by few error term data and test the slop by fuzzy hypotheses membership function for fuzzy number data with agreement index. Finding the agreement index by area for fuzzy hypotheses membership function and membership function of confidence interval, we obtain the results to acceptance or reject for the test of fuzzy hypotheses.

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ON SOLVING FUZZY EQUATION

  • Hong, Dug-Hun
    • Journal of applied mathematics & informatics
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    • v.8 no.1
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    • pp.213-223
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    • 2001
  • The use of fuzzy number over interval of confidence instead of possibilitic consideration for solving fuzzy equation is proposed. This approach of solving fuzzy equation by interval arithmetic and ${\alpha}$-cuts has a considerable advantage. Through theoretical analysis, an illustrative example and computational results, we show that the proposed approach is more general and straight-forword.

Fuzzy Hypotheses Testing of Likert Fuzzy Scale (리커트 퍼지 척도에 대한 퍼지 가설검정)

  • Kang Man-Ki;Lee Chang-Eun;Chio Gue-Tak
    • Journal of the Korean Institute of Intelligent Systems
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    • v.15 no.5
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    • pp.533-537
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    • 2005
  • A Likert scale is an often used questionnaire format. It requests respondents to specify their level of agreement to each of a list of statements. A typical question using a five-point Likert scale might make a statement. The results shows vague values. We have five-point fuzzy membership function by fuzzy valued three-point for the question and fuzzy hypothesis test the membership function by 95% confidence interval.

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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Reliability Analysis of Fuzzy Systems Based on Interval Valued Vague Sets (구간값 모호집합에 기반을 둔 퍼지시스템의 신뢰도 분석)

  • Lee, Se-Yul;Cho, Sang-Yeop;Kim, Yong-Soo
    • Journal of the Korean Institute of Intelligent Systems
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    • v.18 no.4
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    • pp.445-450
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    • 2008
  • In order to analyze the reliabilities of the fuzzy systems, the reliabilities of the components in the fuzzy systems are represented by real values between zero and one, fuzzy numbers, intervals of confidence, vague sets, interval valued fuzzy sets, etc in the conventional researches. In this paper, we propose a method to represent and analyze the reliabilities of the fuzzy systems based on the interval valued vague sets defined in the universe of discourse [0, 1]. In the interval valued vague sets, the upper bounds and the lower bounds of the conventional vague sets[12, 14] are represented as the intervals. Therefore, it can allow the reliabilities of a fuzzy system to represent and analyze in a more flexible manner. Because the proposed method uses the simplified arithmetic operations of the fuzzy triangular numbers rather than the complicated of the fuzzy trapezoidal numbers mentioned by Kumar[14], the execution of the proposed method is faster than the one.

Reliability Computation of Neuro-Fuzzy Models : A Comparative Study (뉴로-퍼지 모델의 신뢰도 계산 : 비교 연구)

  • 심현정;박래정;왕보현
    • Journal of the Korean Institute of Intelligent Systems
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    • v.11 no.4
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    • pp.293-301
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    • 2001
  • This paper reviews three methods to compute a pointwise confidence interval of neuro-fuzzy models and compares their estimation perfonnanee through simulations. The eOITl.putation methods under consideration include stacked generalization using cross-validation, predictive error bar in regressive models, and local reliability measure for the networks employing a local representation scheme. These methods implemented on the neuro-fuzzy models are applied to the problems of simple function approximation and chaotic time series prediction. The results of reliability estimation are compared both quantitatively and qualitatively.

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Fault Tree Analysis Model Based on Trapezoidal Fuzzy Number (사다리꼴퍼지수에 기초한 F.T.A. 모형에 관한 연구)

  • Sin, Mun-Sik;Jo, Nam-Ho
    • Journal of Korean Society for Quality Management
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    • v.20 no.1
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    • pp.118-125
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    • 1992
  • Studies upto date for estimating the reliability by means of one accarate value contain risks of many erroneous options. The objective of this paper is to presents a fault tree analueis model on the basis of the membership functions of trape Zoidal fuzzy number after imposing an interval of Confidence on the residual possibility theory. The results from the model Show that the value of Stability was reliable.

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Fuzzy System Reliability Analysis With Weighted Components Based on Fuzzy Numbers (퍼지숫자를 기반으로 가중 구성요소를 갖는 퍼지시스템의 신뢰도분석)

  • Cho, Sang-Yeop
    • Journal of Internet Computing and Services
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    • v.8 no.3
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    • pp.99-107
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    • 2007
  • In general, the reliabilities of the fuzzy system are represented and analyzed by real numbers between zero and one, fuzzy numbers, intervals of confidence, interval-valued fuzzy sets, vague sets, etc. This paper addresses the method to analyze the reliability of the fuzzy system for the weighted components with the weights reflected on the importance of weighted components in an system. The reliabilities and the weights of the weighted components in a fuzzy numbers and considers the weights of the weighted components in a fuzzy system, therefore, its execution is faster and more flexible than the conventional methods.

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Reliability Analysis of Fuzzy Systems With Weighted Components Using Vague Sets (모호집합을 이용한 가중 구성요소를 갖는 퍼지시스템의 신뢰도 분석)

  • Cho, Sang-Yeop;Park, Sa-Joon
    • Journal of KIISE:Software and Applications
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    • v.33 no.11
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    • pp.979-985
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    • 2006
  • In the conventional researches, the reliabilities of the fuzzy system are represented and analyzed by real values between zero and one, fuzzy numbers, intervals of confidence, etc. In this paper, we present a method to represent and analyze the reliabilities of the weighted components of the fuzzy system and the weights reflected on their importance based on vague sets defined in the universe of discourse [0, 1]. The vague set is represented as the interval consisted of the truth-membership functions and the false-membership functions, therefore it can allow the reliabilities and the weights of a fuzzy system to represent in a more flexible manner. The proposed method considers the weights of the weighted components in the fuzzy systems, its reliability analysis is more flexible and effective than the conventional methods.

Classification of Parkinson's Disease Using Defuzzification-Based Instance Selection (역퍼지화 기반의 인스턴스 선택을 이용한 파킨슨병 분류)

  • Lee, Sang-Hong
    • Journal of Internet Computing and Services
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    • v.15 no.3
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    • pp.109-116
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    • 2014
  • This study proposed new instance selection using neural network with weighted fuzzy membership functions(NEWFM) based on Takagi-Sugeno(T-S) fuzzy model to improve the classification performance. The proposed instance selection adopted weighted average defuzzification of the T-S fuzzy model and an interval selection, same as the confidence interval in a normal distribution used in statistics. In order to evaluate the classification performance of the proposed instance selection, the results were compared with depending on whether to use instance selection from the case study. The classification performances of depending on whether to use instance selection show 77.33% and 78.19%, respectively. Also, to show the difference between the classification performance of depending on whether to use instance selection, a statistics methodology, McNemar test, was used. The test results showed that the instance selection was superior to no instance selection as the significance level was lower than 0.05.