• Title/Summary/Keyword: Fuzzy Support Vector Machine

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Support Vector Machine Based on Type-2 Fuzzy Training Samples

  • Ha, Ming-Hu;Huang, Jia-Ying;Yang, Yang;Wang, Chao
    • Industrial Engineering and Management Systems
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    • v.11 no.1
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    • pp.26-29
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    • 2012
  • In order to deal with the classification problems of type-2 fuzzy training samples on generalized credibility space. Firstly the type-2 fuzzy training samples are reduced to ordinary fuzzy samples by the mean reduction method. Secondly the definition of strong fuzzy linear separable data for type-2 fuzzy samples on generalized credibility space is introduced. Further, by utilizing fuzzy chance-constrained programming and classic support vector machine, a support vector machine based on type-2 fuzzy training samples and established on generalized credibility space is given. An example shows the efficiency of the support vector machine.

Development of Fuzzy Support Vector Machine and Evaluation of Performance Using Ionosphere Radar Data (Fuzzy Twin Support Vector Machine 개발 및 전리층 레이더 데이터를 통한 성능 평가)

  • Cheon, Min-Kyu;Yoon, Chang-Yong;Kim, Eun-Tai;Park, Mig-Non
    • Journal of the Korean Institute of Intelligent Systems
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    • v.18 no.4
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    • pp.549-554
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    • 2008
  • Support Vector machine is the classifier which is based on the statistical training theory. Twin Support Vector Machine(TWSVM) is a kind of binary classifier that determines two nonparallel planes by solving two related SVM-type problems. The training time of TWSVM is shorter than that of SVM, but TWSVM doesn't shows worse performance than that of SVM. This paper proposes the TWSVM which is applied fuzzy membership, and compares the performance of this classifier with the other classifiers using Ionosphere radar data set.

Fuzzy One Class Support Vector Machine (퍼지 원 클래스 서포트 벡터 머신)

  • Kim, Ki-Joo;Choi, Young-Sik
    • Journal of Internet Computing and Services
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    • v.6 no.3
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    • pp.159-170
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    • 2005
  • OC-SVM(One Class Support Vector Machine) avoids solving a full density estimation problem, and instead focuses on a simpler task, estimating quantiles of a data distribution, i.e. its support. OC-SVM seeks to estimate regions where most of data resides and represents the regions as a function of the support vectors, Although OC-SVM is powerful method for data description, it is difficult to incorporate human subjective importance into its estimation process, In order to integrate the importance of each point into the OC-SVM process, we propose a fuzzy version of OC-SVM. In FOC-SVM (Fuzzy One-Class Support Vector Machine), we do not equally treat data points and instead weight data points according to the importance measure of the corresponding objects. That is, we scale the kernel feature vector according to the importance measure of the object so that a kernel feature vector of a less important object should contribute less to the detection process of OC-SVM. We demonstrate the performance of our algorithm on several synthesized data sets, Experimental results showed the promising results.

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Development of Fuzzy Support Vector Machine for Pattern Classification (패턴 분류를 위한 Fuzzy Twin Support Vector machine 개발)

  • Cheon, Min-Gyu;Yun, Chang-Yong;Kim, Eun-Tae;Park, Min-Yong
    • Proceedings of the Korean Institute of Intelligent Systems Conference
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    • 2007.11a
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    • pp.279-282
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    • 2007
  • Support Vector Machine(SVM)은 통계적 학습 이론에 기반을 둔 분류기이다. 또한 Twin Support Vector Machine(TWSVM)은 이진 SVM 분류기의 한 종류로써, 서로 관련된 두 개의 SVM 유형 문제를 통해 평행하지 않은 두 개의 평면을 결정하고 이 두 평면을 통해 분류기를 완성하는 방식이다. 이러한 방식은 TWSVM은 학습 시간이 SVM에 비해 훨씬 짧으며, SVM과 비교하여 떨어지지 않는 성능을 보여준다. 본 논문은 분류기 입력에 Fuzzy Memvership을 적용하는 방식의 TWSVM을 제안하고, 2차원 벡터 입력에 대한 실험을 통하여 기존에 제시 되었던 TWSVM과 비교한다.

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A Recent Development in Support Vector Machine Classification

  • Hong, Dug-Hun;Hwang, Chang-Ha;Na, Eun-Young
    • 한국데이터정보과학회:학술대회논문집
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    • 2002.06a
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    • pp.23-28
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    • 2002
  • Support vector machine(SVM) has been very successful in classification, regression, time series prediction and density estimation. In this paper, we will propose SVM for fuzzy data classification.

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Least-Squares Support Vector Machine for Regression Model with Crisp Inputs-Gaussian Fuzzy Output

  • Hwang, Chang-Ha
    • Journal of the Korean Data and Information Science Society
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    • v.15 no.2
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    • pp.507-513
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    • 2004
  • Least-squares support vector machine (LS-SVM) has been very successful in pattern recognition and function estimation problems for crisp data. In this paper, we propose LS-SVM approach to evaluating fuzzy regression model with multiple crisp inputs and a Gaussian fuzzy output. The proposed algorithm here is model-free method in the sense that we do not need assume the underlying model function. Experimental result is then presented which indicate the performance of this algorithm.

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A Study on the Pattern Recognition Using Support Vector Fuzzy Inference System (Support Vector Fuzzy Inference System을 이용한 Pattern Recognition 에 관한 연구)

  • 김용균;정은화
    • Proceedings of the Korea Multimedia Society Conference
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    • 2003.05b
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    • pp.374-379
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    • 2003
  • 본 논문에서는 pattern recognition을 위하여 support vector fuzzy inference system을 제안하였다 Fuzzy inference system의 structure와 parameter를 identification 하기 위하여 Support vector machine을 이용하였으며 에러 최소화 기법으로는 gradient descent 방법을 사용하였다. 제안된 SVFIS 방법의 성능을 파악하고자 COIL 이미지를 이용한 3차원 물체 인식 실험을 수행하였다.

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A Study on the Support Vector Machine Based Fuzzy Time Series Model

  • Seok, Kyung-Ha
    • Journal of the Korean Data and Information Science Society
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    • v.17 no.3
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    • pp.821-830
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    • 2006
  • This paper develops support vector based fuzzy linear and nonlinear regression models and applies it to forecasting the exchange rate. We use the result of Tanaka(1982, 1987) for crisp input and output. The model makes it possible to forecast the best and worst possible situation based on fewer than 50 observations. We show that the developed model is good through real data.

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A Note on Fuzzy Support Vector Classification

  • Lee, Sung-Ho;Hong, Dug-Hun
    • Communications for Statistical Applications and Methods
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    • v.14 no.1
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    • pp.133-140
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    • 2007
  • The support vector machine has been well developed as a powerful tool for solving classification problems. In many real world applications, each training point has a different effect on constructing classification rule. Lin and Wang (2002) proposed fuzzy support vector machines for this kind of classification problems, which assign fuzzy memberships to the input data and reformulate the support vector classification. In this paper another intuitive approach is proposed by using the fuzzy ${\alpha}-cut$ set. It will show us the trend of classification functions as ${\alpha}$ changes.

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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