closure operator meaning in English
闭包算子
Examples
- In the first chapter , the concepts of - smooth topological molecular lattices , - smooth closure operator , l - smooth continuous goh and - smooth closed goh are defined , the concept of - smooth topological molecular lattices is the generalization of general topological spaces and topological molecular lattices
第一部分的主要内容如下：第一章在完全分配格上给出格值smooth拓扑分子格的概念，它以一般拓扑空间、 l -拓扑空间和拓扑分子格概念为特例。 - We study the relationships between the rough sets and the topological space , define the interior operator and the closure operator generated by a subbase of a topological space , which are conjugated with a lower approximation and an upper approximation , and obtain their basic properties
摘要本文研究粗糙集与拓扑空间的关系，统一地使用拓扑空间中的集合关于子基的内部和闭包来研究粗糙集理论和覆盖广义粗糙集理论中的下近似集和上近似集，以及由它们导出的关于子基的开集，导集，闭集，边界。 - Based on the theory of molecular set nests and prime elements set nested in [ 67 , 68 ] , with the cuted set f and jm , we have obtain the equivalent theorem , the decomposition theorems , the representation theorems about l - smooth co - topology , the equivalent conditions of constructing a - smooth co - topology by a family co - topologies and the equivalent theorem of closure operator . we have proved that - smooth closure operator is reasonable , discussed the relations between - smooth closure operator and closure operator , - smooth continuous goh and continuous goh , and given a kind of product of - smooth topological molecular lattices
借助文[ 67 ， 68 ]中提出的分子集合套和素元集合套理论，结合文[ 83 ]并以截集芦f _ [ a ]和f ~ [ a ]为工具刻画l上smooth余拓扑f ，从而给出了l - smooth余拓扑的刻画定理、分解定理、表现定理和由余拓扑族构造l - smooth余拓扑的充要条件