在数学中,给定偏序集合 (P, ≤),在 P 上的闭包算子是函数 C : P → P 带有如下性质: x ≤ C(x) 对于所有 x,就是说 C 是扩展性的。 如果 x ≤ y,则 C(x) ≤ C(y),就是 C 是单调递增的。 C(C(x)) = C(x) 对于所有的 x,就是说 C 是幂等函数。
Secondly, we study some properties of the other operators and the relations of each of them with closure operator, and give the conclusion which is they are equivalent.
其次研究了其它算子和有关性质,以及它们和闭包算子的关系。
参考来源 - 极限算子与模糊余拓扑The rough topological space is constructed based on the representation of rough sets. The relationship among interior operator, closure operator and rough approximation operators is investigated and the base of rough topological space is given.
借助粗糙集的表示构造了粗糙拓扑空间,其中的开集为粗糙相等关系下的等价类;讨论了粗糙拓扑空间中的内部、闭包算子与近似空间中粗糙近似算子的关系,并给出了粗糙拓扑空间的拓扑基。
参考来源 - 粗糙集的拓扑结构 in C·2,447,543篇论文数据,部分数据来源于NoteExpress
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