The nature of statistical learning theory
The nature of statistical learning theory
Support Vector Machines for 3D Object Recognition
IEEE Transactions on Pattern Analysis and Machine Intelligence
Pairwise classification and support vector machines
Advances in kernel methods
Combining support vector and mathematical programming methods for classification
Advances in kernel methods
Pattern Classification: Neuro-Fuzzy Methods and Their Comparison
Pattern Classification: Neuro-Fuzzy Methods and Their Comparison
Fuzzy least squares support vector machines for multiclass problems
Neural Networks - 2003 Special issue: Advances in neural networks research IJCNN'03
Reducing multiclass to binary: a unifying approach for margin classifiers
The Journal of Machine Learning Research
Solving multiclass learning problems via error-correcting output codes
Journal of Artificial Intelligence Research
Fuzzy support vector machine for multi-class text categorization
Information Processing and Management: an International Journal
The theoretical fundamentals of learning theory based on fuzzy complex random samples
Fuzzy Sets and Systems
Support vector machine for classification based on fuzzy training data
Expert Systems with Applications: An International Journal
Fuzzy Sets and Systems
Localization in wireless sensor network based on multi-class support vector machines
WiCOM'09 Proceedings of the 5th International Conference on Wireless communications, networking and mobile computing
ACACOS'11 Proceedings of the 10th WSEAS international conference on Applied computer and applied computational science
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One-against-all support vector machines with discrete decision functions have unclassifiable regions. To resolve unclassifiable regions, support vector machines with continuous decision functions and fuzzy support vector machines have been proposed. If, in ECOC (error correcting output code) support vector machines, instead of discrete error functions, continuous error functions are used, unclassifiable regions are resolved. In this paper, first we prove that for one-against-all formulation, support vector machines with continuous decision functions are equivalent to fuzzy support vector machines with minimum and average operators. Then we discuss minimum operations as well as average operations for error functions of support vector machines and show the equivalence of ECOC support vector machines and fuzzy support vector machines for one-against-all formulation. Finally, we show by computer simulations that ECOC support vector machines are not always superior to one-against-all fuzzy support vector machines.