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中文摘要：
对拓扑学中邻域系的性质进行了研究,提出了一般集合X上的邻域系算子的概念.借助格论的思想,在邻域系算子族N（X）中引入二元运算∩,∪,构造了邻域系算子格（N（X）,∩,∪）,并对其性质进行了研究.证明了（N（X）,∩,∪）是一个完备格,它所诱导的序是由邻域系算子在各点结果的包含序决定的.并证明了（N（X）,∩,∪）不满足分配性.
英文摘要：
Based on the research of neighborhood system＇s properties in the topology,the definition of neighbor-hood system operator on a usual set X is introduced and two kinds of operations of ∩ and ∪ are defined on the family N（X） of neighborhood system operators. Then the lattice of neighborhood system operator （N（X）,∩,∪ is constructed by means of lattice theory, and its properties are investigated. Moreover, it is proved that （N （X）,∩,∪）is a complete lattice and its induced order is determined by the inclusion order of the results of the neighborhood system operator at each point. Finally, it is proved that （N（X） ,∩,∪ does not satisfy the distributivity.
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