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中文摘要：
利用k阶二元关系定义直觉模糊粗糙集,讨论了分别为串行、自反、对称、传递关系时所对应的上、下近似算子的性质。在有限论域U中,研究了任一自反二元关系所诱导的直觉模糊拓扑空间中直觉模糊闭包、内部算子与相对应的上、下近似算子的关系。
英文摘要：
In this paper, a kind of intuitionistic fuzzy （IF） rough sets based on k-step-relation is defined. Basic properties of the intuitionistic fuzzy rough approximation operators are then discussed in the case of reflexive, symmetric and transtitive crisp relations. Furthermore, We investigate the topological structures of intuitionistic fuzzy rough sets. And we see that an reflexive crisp relation can also generate IF topological spaces and showes that the lower and upper IF rough approximation operators are, respectively, the interior and closure operators of the IF topological spaces.
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