2017 IEEE Symposium Series on Computational Intelligence (SSCI) 2017
DOI: 10.1109/ssci.2017.8280964
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A fuzzy based Lagrangian twin parametric-margin support vector machine (FLTPMSVM)

Abstract: In the spirit of twin parametric-margin support vector machine (TPMSVM) and support vector machine based on fuzzy membership values (FSVM), a new method termed as fuzzy based Lagrangian twin parametric-margin support vector machine (FLTPMSVM) is proposed in this paper to reduce the effect of the outliers. In FLTPMSVM, we assign the weights to each data samples on the basis of fuzzy membership values to reduce the effect of outliers. Also, we consider the square of the 2norm of slack variables to make the objec… Show more

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Cited by 17 publications
(4 citation statements)
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“…Fuzzy membership was calculated on entropy values of samples. In another study by Gupta et al in [26], a new method was referred to as fuzzy Lagrangian twin parametric-margin support vector machine which used fuzzy membership values in decision learning to handle outlier points. Hazarika and Gupta in [27] used a support vector machine based on density weight to handle the imbalance of classes problem.…”
Section: Related Workmentioning
confidence: 99%
“…Fuzzy membership was calculated on entropy values of samples. In another study by Gupta et al in [26], a new method was referred to as fuzzy Lagrangian twin parametric-margin support vector machine which used fuzzy membership values in decision learning to handle outlier points. Hazarika and Gupta in [27] used a support vector machine based on density weight to handle the imbalance of classes problem.…”
Section: Related Workmentioning
confidence: 99%
“…Then, putting (52) into (43) and using (44)-(46), we can get the Wolfe dual problem of (41) as follows.…”
Section: B Linear Eftbsvmmentioning
confidence: 99%
“…Step 3. Choose the proper penalty parameters c i (i = 1, 2, 3, 4) and then obtain the solutions (52) and 54, respectively.…”
Section: Algorithm 1 Linear Eftbsvm Classifiermentioning
confidence: 99%
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