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基于模糊随机样本的学习理论关键定理
Key Theorem of Learning Theory Based on Fuzzy Random Samples
【摘要】 以刘宝碇提出的模糊随机变量的概念为基础,给出了基于模糊随机样本的模糊随机期望风险泛函、模糊随机经验风险泛函以及模糊随机经验风险最小化原则的定义,给出并证明了基于模糊随机样本的学习理论的关键定理。
【Abstract】 Based on the definition of fuzzy random variable provided by Liu, the definitions of fuzzy random expected risk functional and fuzzy random empirical risk functional and fuzzy random empirical risk minimization principle are proposed. And then the key theorem of learning theory with fuzzy random samples is proposed and proved.
【关键词】 模糊随机变量;
模糊随机经验风险最小化原则;
关键定理;
【Key words】 Fuzzy Random Variable; Fuzzy Random Empirical Risk Minimization Principle; Key Theorem;
【Key words】 Fuzzy Random Variable; Fuzzy Random Empirical Risk Minimization Principle; Key Theorem;
【基金】 河北省教育厅科研项目(QN20131055);保定市科学技术研究与发展指导计划项目(10ZR002)
- 【文献出处】 模糊系统与数学 ,Fuzzy Systems and Mathematics , 编辑部邮箱 ,2013年06期
- 【分类号】O159
- 【被引频次】3
- 【下载频次】43