【摘要】 结合模糊集理论和模糊统计学的知识 ,对作为统计学习理论基础的学习过程的一致性和关键定理进行推广 ,提出了模糊风险泛函、模糊经验风险泛函、基于模糊样本的ERM原则和非平凡一致性的概念 ,并给出了模糊意义下的学习理论的关键定理及其证明。更多还原

【Abstract】 In this paper,fuzzy set theory and statistical with vague data combine to generalize the base of statistical learning theory,i.e.,generalize the nontri vial consistency and key theorem of learning processes.Fuzzy risk functional.fuz zy empirical risk functional、fuzzy empirical risk minimization principle and no ntrivial consistency of learning processes are proposed,and key theorem of leani ng theory based on fuzzy samples in proved.更多还原