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中文摘要：
经典粗糙集是在等价关系基础上建立的一类不确定性理论方法。研究一般二元关系下的广义粗糙集，不仅可以拓宽粗糙集理论的应用范围，而且也能从一定的角度进一步阐释经典粗糙集的基本性质。在考虑自反粗糙近似算子的基础上，提出了严格局部自反关系的定义，讨论了严格局部自反关系下广义粗糙集的性质，给出了其公理化特征。结合自反粗糙近似算子，研究了一般二元关系下广义粗糙集中的精确集，得出了一些重要的结论。
英文摘要：
The classical rough set theory is an uncertain approach, which is based on the equivalence relation.The generalized rough set is researched based on a binary relation,which is not only widening application but also interpretation ＇of the classical rough set.On the basis of considering reflexive approximate operators,this paper presents the definition of strong par, tial reflexive binary relation,discusses the properties of corresponding generalized rough set, gives its axiomatic charaeteriza- tionslCombining the strong partial reflexive approximate operator, accurate sets are investigated in the generalized rough set based on a binary relation.Some important conclusions are achieved.
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