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中文摘要：
在研究覆盖粗糙集模型中，发现对覆盖粗糙集上近似的定义并不一致．简述了各个模型的区别，并在一个较合理的覆盖粗糙集上近似定义上，结合覆盖约简理论，重新定义了基于覆盖的粗糙集模型。讨论了它的一些性质．另外，将模型进行推广，定义了基于覆盖的粗糙模糊集模型，证明了它具有一些较好的性质。
英文摘要：
Based on the research of a covering rough set model, the definitions approximation of the covering rough set are found to be inconsistent. Through the analys among the several models, a more reasonable model is adopted, and, combined with about the upper is of the difference the theory about covering reduction, the covering rough set model is redefined. Its several properties are given. Meanwhile, the model is extended, and the covering rough fuzzy set model is defined. Then some of its good properties are also proved.
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