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中文摘要：
给出无限双论域上一般模糊近似算子的构造性定义，叙述一般模糊近似算子的基本性质。引入邻域有限模糊关系的概念，利用上、下模糊粗糙近似的截集性质，给出一个刻画模糊近似算子的新公理，得到不同于以往的刻画模糊近似算子的公理集。
英文摘要：
In the paper presented, first, by constructive approach we give the definitions of generalized fuzzy approximation operators in double infinite universes of discourse, discribe the properties of the fuzzy approximation operatres. Second, we intruduce the concept of neighborhood-finite fuzzy relation, and discuss properties of the cut of fuzzy rough approximations. Finally, we give a new axiom to characterize generalized fuzzy approximation operators, the given axiomatic models of fuzzy approximation operators are different from the ordinary ones.
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