基于模糊训练数据的支持向量机与模糊线性回归

Fuzzy Support Vector Machine and Fuzzy Linear Regression

支持向量机作为1种机器学习方法已广泛应用于模式识别及函数拟合.但在支持向量机中,训练数据均为精确数据.针对训练数据的输入是模糊数的情况,研究基于模糊训练数据的分类型支持向量机,并给出其解法.然后应用基于模糊训练数据的支持向量机研究模糊线性回归问题.

Being a machine learning method, support vector machines （SVMs） have been widely used in pattern recognition and function estimation problems. But in the support vector machines, the input and output are non-fuzzy. For fuzzy input, the support vector machines with fuzzy training example are introduced and give some solution procedure and applications; then we use the fuzzy support vector machine in the study of fuzzy linear regression problem.