In the last past years, as a class of continuous binary aggregation functions, there are many scholars keeping a watchful focus on overlap functions for their widely applicability in various actual problems. On the other side, after that rough sets were presented as a formal tool to handle indetermination and inaccuracy in the analysis of data, there arise many works concerning the extension study of rough approximation operators in rough set model. This paper mainly discusses the so-called $(I_O,O)$-fuzzy rough set model obtained through extending the classical conjunction operator in rough approximation operator to overlap functions. Firstly, we investigate a number of essential properties of $(I_O,O)$-fuzzy rough sets, especially for the connections between the obtained new fuzzy rough approximation operators and fuzzy relations. Secondly, we give the topological properties of $(I_O,O)$-fuzzy rough sets. Finally, we show a brief comparison of the $(I_O,O)$-fuzzy rough sets with other common fuzzy rough set models.

在过去的几年中，作为一类连续二进制聚合函数，许多学者一直关注重叠函数，因为它们在各种实际问题中具有广泛的适用性。另一方面，在将粗集作为处理数据分析中不确定性和不准确性的正式工具之后，出现了许多有关在粗集模型中对粗近似算子进行扩展研究的工作。本文主要讨论所谓的$（{\mathrm{一世}}_{Ø}，Ø）$-通过将粗略逼近算子中的经典合取算子扩展到重叠函数而获得的-模糊粗糙集模型。首先，我们研究了$（{\mathrm{一世}}_{Ø}，Ø）$-模糊粗糙集，特别是对于获得的新模糊粗糙逼近算子与模糊关系之间的联系。其次，我们给出了$（{\mathrm{一世}}_{Ø}，Ø）$-模糊粗糙集。最后，我们对$（{\mathrm{一世}}_{Ø}，Ø）$-模糊粗糙集与其他常见的模糊粗糙集模型。