闭包算子

以近似良紧性为基础，在LF拓扑空间上提出了序同态的N－连续性、分子网的N－收敛性及N－闭包算子等概念。

He concepts of N-continuity , N-convergence of molecular nets , and N - closure operator on LF topological spaces are presented on the basis of notion of nearly nice compactness .

本文在分子格（即完全分配格）上定义了三种算子，即远域算子、闭包算子与强导元算子，并借助于它们，给出了分子格上余拓扑的几种等价刻划。

In this paper , first , three operator 's are introduced on Molecular Lattice ( i. e. completely distributive Lattices ) , they are R-neighborhood operator , closure operator and strongly derived element operator .

不分明实直线及其子空间的适当性，半闭包算子Cα与α~-紧性

The suitability , semi-closure operator C.and a ~ & compactness in the fuzzy real line and its subspaces

Fuzzy闭包算子的扩张原理揭示了Fuzzy闭包算子与经典闭包算子之间的密切关系，是利用传统学科已有结论研究Fuzzy数学相关理论的有效工具。

The extension principles for fuzzy closure operators illustrate the tight relationship between fuzzy closure operators and classical ones . They are effective tools for studying the correspondent theories of fuzzy sets with the knowledge of classical subjects .

作为Fuzzfying半拓扑理论的必要组成部分，我们还定义了Fuzzifying半拓扑算子，包括Fuzzifying半内部算子，Fuzzifying半闭包算子。

As a necessary part of fuzzifying semi-topology theory , we also define the concepts of fuzzifying semi-topological operator including fuzzifying semi-interior and fuzzifying semi-closure and then describe them essentially .

给出了语义闭包算子的紧致性、逻辑紧致性定理以及相应的闭包系统，同时也建立由某个给定的信息所诱导的Fp上的同余关系，并建立了相应的商代数理论。

We also present several theorems about the compact property , logic compact property of semantic closure operation and the corresponding closure systems , establish the congruence relation on (?) P induced by certain given information and the corresponding quotient lattice implication algebra .

由子基生成的内部算子和闭包算子

The Interior Operators and the Closure Operators Generated by a Subbase

内部、闭包算子、邻域与近似算子的关系

The Connections of Interior , Closure Operators , Neighborhood and Approximation Operators

内部算子及闭包算子与伴随的一些关系

Some Relations Between Closure Operator Inner Operator and Connection

内部算子与闭包算子的若干性质

Some Properties of Closure Operator and Inner Operator

诱导内部算子与闭包算子

Induced interior operater and closure operater

引入了预拓扑分子格的概念（它是拓扑分子格的推广），并证明了完备格上的闭预拓扑和伪闭包算子是一一对应的。

It is proved that closed pretopologies and pseudo-closure operators on a complete lattice are corresponding one by one .

首先定义了集合上的闭包算子，并且研究了闭包算子的若干性质；

Firstly , the concept of closure operator on a set is introduced ; some properties of closure operator were obtained .

在内部算子、闭包算子和近似算子概念的基础上，研究了内部算子、闭包算子与自反传递粗集中近似算子的复合以及交叉复合，得到了它们之间的一些关系。

On the basis of interior operators , closure operators and approximate operators , the compound and overlapping compound of interior operators , closure operators and approximate operators are studied in reflexives and transitive rough sets . Some connections among them are obtained .

进而给出模糊传递闭包近似算子的定义，得到相应的结果。

Furthermore , this paper gives FC-approximation operators of fuzzy transitive closure , and obtains corresponding results .