SVM and many other classifiers can be generalized to the multiple class case by two common approaches, one-vs-rest (also called one-vs-all) and one-vs-one.
In the one-vs-rest setting, for a K-class problem, it constructs K different binary SVM classifiers. For the classifier, it treats the class as the positive case and the rest classes as the negative case as a whole; the hyperplane denoted as ...