Title
Fuzzy chance constrained support vector machine
Abstract
This paper aims to improve the performance of the widely used fuzzy support vector machine (FSVM) model. By introducing a fuzzy possibility measure, we first modify the original inequality constraints of FSVM optimization model as chance constraints. We fuzzify the distance between training data and the separating hyperplane, and use a possibility measure to compare two fuzzy numbers in forming the constraints for the FSVM model. By maximizing the confidence level we ensure that the number of misclassifications is minimized and the separation margin is maximized to guarantee the generalization. Then, the fuzzy simulation based genetic algorithm is used to solve the new optimization model. The effectiveness of the proposed model and algorithm is validated on an application to the classification of uncertainty in the hydrothermal sulfide data in the TAG region of ocean survey. The experimental results show that the new fuzzy chance constrained SVM model outperforms the original SVM model.
Year
DOI
Venue
2010
10.1007/978-3-642-15621-2_30
LSMS/ICSEE (1)
Keywords
Field
DocType
fuzzy possibility measure,fuzzy support vector machine,original svm model,new optimization model,fuzzy number,fuzzy chance,fuzzy simulation,fsvm model,svm model,fsvm optimization model,confidence level,support vector machine,genetic algorithm
Mathematical optimization,Neuro-fuzzy,Defuzzification,Fuzzy classification,Fuzzy set operations,Support vector machine,Fuzzy logic,Fuzzy transportation,Fuzzy number,Mathematics
Conference
Volume
ISSN
ISBN
6328
0302-9743
3-642-15620-7
Citations 
PageRank 
References 
0
0.34
9
Authors
3
Name
Order
Citations
PageRank
Hao Zhang191.76
Kang Li247844.24
Cheng Wu3115493.20