• Title/Summary/Keyword: fuzzy mathematics

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Development of Classification Model Using Neural Network (신경회로망을 이용한 분류모형 개발)

  • Park, Kwang-Bak;Park, Young-Man;Hwang, Seung-Gook
    • Journal of the Korean Institute of Intelligent Systems
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    • v.18 no.5
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    • pp.638-641
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    • 2008
  • In this paper, a model to classify the method using the fuzzy TAM with preprocessing of data was developed. The preprocessing method can be divide the problem using the characteristics in the case of category type factor. In case of continuous type factor, if there was exist factor's range which is not overlapping by class, the data belong to the range was fixed and eliminated in classification. After these preprocessing of data, classified operation of Fuzzy TAM is performed.

Kernel-Based Fuzzy Regression Machine For Predicting Turbulent Flows

  • Hong, Dug-Hun;Hwang, Chang-Ha
    • 한국데이터정보과학회:학술대회논문집
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    • 2004.04a
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    • pp.91-101
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    • 2004
  • The turbulent flow is of fundamental interest because the conservation equations for thermodynamics, mass and momentum are linked together. This turbulent flow consists of some coherent time- and space-organized vortical structures. Research has already shown that some dynamic systems and experimental models still cannot provide a good nonlinear analysis of turbulent time series. In the real turbulent flow, very complicated nonlinear behaviors, which are affected by many vague factors are present. In this paper, a kernel-based machine for fuzzy nonlinear regression analysis is proposed to predict the nonlinear time series of turbulent flows. In order to show the practicality and usefulness of this model, we present an example of predicting the near-wall turbulence time series as a verifiable model and compare with fuzzy piecewise regression. The results of practical applications show that the proposed method is appropriate and appears to be useful in nonlinear analysis and in fuzzy environments to predict the turbulence time series.

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Estimating Fuzzy Regression with Crisp Input-Output Using Quadratic Loss Support Vector Machine

  • Hwang, Chang-Ha;Hong, Dug-Hun;Lee, Sang-Bock
    • 한국데이터정보과학회:학술대회논문집
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    • 2004.10a
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    • pp.53-59
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    • 2004
  • Support vector machine(SVM) approach to regression can be found in information science literature. SVM implements the regularization technique which has been introduced as a way of controlling the smoothness properties of regression function. In this paper, we propose a new estimation method based on quadratic loss SVM for a linear fuzzy regression model of Tanaka's, and furthermore propose a estimation method for nonlinear fuzzy regression. This approach is a very attractive approach to evaluate nonlinear fuzzy model with crisp input and output data.

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Central limit theorems for fuzzy random sets (퍼지 랜덤 집합에 대한 중심극한정리)

  • Kwon Joong-Sung;Kim Yun-Kyong;Joo Sang-Yeol;Choi Gyeong-Suk
    • Journal of the Korean Institute of Intelligent Systems
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    • v.15 no.3
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    • pp.337-342
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    • 2005
  • The present paper establishes the improved version of central limit theorem for sums of level-continuous fuzzy set-valued random variables as a generalization of central limit theorem for sums of independent and identically distributed set-valued random variables.

Similarity Measure Construction for Non-Convex Fuzzy Membership Function

  • Park, Hyun-Jeong;Kim, Sung-Shin;Lee, Sang-H.
    • Journal of the Korean Institute of Intelligent Systems
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    • v.18 no.1
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    • pp.145-149
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    • 2008
  • The similarity measure is constructed for non-convex fuzzy membership function using well known Hamming distance measure. Comparison with convex fuzzy membership function is carried out, furthermore characteristic analysis for non-convex function are also illustrated. Proposed similarity measure is proved and the usefulness is verified through example. In example, usefulness of proposed similarity is pointed out.

SENSITIVITY ANALYSIS OF ATMOSPHERIC DISPERSION MODEL-RIMPUFF USING THE HARTLEY-LIKE MEASURE

  • Chutia, Rituparna;Mahanta, Supahi;Datta, D.
    • Journal of applied mathematics & informatics
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    • v.31 no.1_2
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    • pp.99-110
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    • 2013
  • In this article, sensitivity analysis of atmospheric dispersion model RIMPUFF is considered. Uncertain parameters are taken to be triangular fuzzy numbers, and sensitivity analysis is carried out by using the Hartley-like measure. Codes for evaluating membership function using the Vertex method and the Hartley-like measure are prepared using Matlab.

Smooth uniform spaces

  • Ramadan, A.A.;El-Dardery, M.;Kim, Y.C.
    • International Journal of Fuzzy Logic and Intelligent Systems
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    • v.2 no.1
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    • pp.83-88
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    • 2002
  • We study some properties of smooth uniform spaces. We investigate the relationship between smooth topological spaces and smooth uniform spaces. In particular, we define a subspace of a smooth uniform space and a product of smooth uniform spaces.

STRUCTURES OF INVOLUTION Γ-SEMIHYPERGROUPS

  • Yaqoob, Naveed;Tang, Jian;Chinram, Ronnason
    • Honam Mathematical Journal
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    • v.40 no.1
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    • pp.109-124
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    • 2018
  • In this paper, structure of involution ${\Gamma}$-semihypergroup is introduced and some theorems about this concept are stated and proved. The concept of ${\Gamma}$-hyperideal in involution ${\Gamma}$-semihypergroup is defined and some of their properties are studied. Some results on regular ${\Gamma}^*$-semihypergroups and fuzzy ${\Gamma}^*$-semihypergroups are also provided.

WEAK* QUASI-SMOOTH α-STRUCTURE OF SMOOTH TOPOLOGICAL SPACES

  • Min, Won Keun;Park, Chun-Kee
    • Korean Journal of Mathematics
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    • v.14 no.2
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    • pp.233-240
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    • 2006
  • In this paper we introduce the concepts of several types of $weak^*$ quasi-smooth ${\alpha}$-compactness in terms of the concepts of weak smooth ${\alpha}$-closure and weak smooth ${\alpha}$-interior of a fuzzy set in smooth topological spaces and investigate some of their properties.

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Almost paracompactness and near paracompactness in L-smooth topological spaces

  • A. A. Ramadan;S. E. Abbas;Kim, Yong-Chan
    • Journal of the Korean Institute of Intelligent Systems
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    • v.10 no.6
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    • pp.564-568
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    • 2000
  • We introduce in L-smooth topological spaces definitions of paracompactness, almost paracompactness and near paracompactness all of which turn out to be good extensions of their classical topological counterparts. These weak paracompactness are defined for arbitrary L-fuzzy sets and their properties studied.

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