The key theorem of statistical learning theory based on rough fuzzy number

机译：基于粗糙模糊数的统计学习理论的关键定理

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In this paper, we give some new concepts of rough fuzzy expected risk functional, rough fuzzy empirical risk functional and rough fuzzy empirical risk minimization principal based on rough fuzzy number. At last, we give and prove the key theorem based on rough fuzzy number, which plays an important role in the statistical learning theory.

机译：在本文中，我们基于粗糙模糊数，给出了一些粗糙模糊预期风险功能，粗糙模糊的经验风险功能和粗糙模糊经验风险的功能和粗糙模糊经验风险最小化校长。最后，我们基于粗糙的模糊数来提供并证明关键定理，在统计学习理论中起着重要作用。

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《IEEE International Conference on Computer Science and Automation Engineering》|2012年||共4页
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Bai Yun-Chao; Jing Zhao;
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中图分类 TP3-53;
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The key theorem of statistical learning theory based on rough fuzzy number

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