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基于模糊数的模糊学习理论的关键定理
Key Theorem of Learning Theory Based on Fuzzy Number
【摘要】 考虑到现实世界的模糊性,结合模糊集理论和模糊统计学的知识,首先给出了关于模糊数函数以及模糊随机变量函数的若干定理;提出了模糊学习问题的一般表示;最后给出并证明了基于模糊数的模糊学习理论的关键定理.
【Abstract】 In view of the fuzzy characteristics of real world,fuzzy set theory and statistics with vague data are combined.Firstly,Some theorems about functions of fuzzy number and fuzzy random variable are proved;setting of the fuzy learning problem is brought forward;key theorem of fuzzy learning theory based on fuzzy number is given and proved.
【关键词】 模糊数;
模糊随机变量;
模糊风险泛函;
FERM原则;
关键定理;
【Key words】 fuzzy number; fuzzy random variable; fuzzy risk functional; FERM principle; key theorem;
【Key words】 fuzzy number; fuzzy random variable; fuzzy risk functional; FERM principle; key theorem;
【基金】 国家自然科学基金资助项目(60773062);教育部科学技术研究重点项目(206012)
- 【文献出处】 河北大学学报(自然科学版) ,Journal of Hebei University(Natural Science Edition) , 编辑部邮箱 ,2008年05期
- 【分类号】O159
- 【被引频次】6
- 【下载频次】118