完备

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

引入了预拓扑分子格的概念，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。

In this chapter,it investigates a new representative theorem under the condition of which themembership degree's lattice is only complete lattice.

本章也正是在值格仅为完备格的条件下，研究一种新的模糊集表现定理。

But there is one thing we can come to understanding, the re-sult is more significant when the membership degree's lattice is complete lattice.

但有一点在诸文献中可以达成共识，即值格是完备格时才更有意义。

The main results of this paper are given as follows: In the first chapter , the concept of fuzzy filter is introduced. Some of its properties are investigated. The structure of fuzzy filters is discussed and it is proved that the set of all fuzzy filters of a residuated lattice is a distributive and complete lattice .

本文的主要内容如下：本文的第一章在剩余格中引入了Fuzzy滤子的概念，得到了它的一些特征性质；给出了Fuzzy滤子的结构，证明了剩余格中的Fuzzy滤子之集构成完备的分配格；利用Fuzzy滤子的特有结构，在剩余格中定义了Fuzzy滤子间的两个运算""，""

In this thesis, the concept of L-graphfor a complete lattice with a largest element 1 and a smallest element 0 (0≠1)is introduced, which is generalization of fuzzy graph, and the main properties ofL-graphs are studied systematically.

在此基础上，本文就有最大元1和最小元0(0≠1)的完备格L，给出了L-图的概念，并较为系统地研究了L-图的一系列性质。

It is proved that a complete lattice is completely distributive lattice if and only if it is both semi-Smooth lattice and semi-continuous lattice.

证明了完备格L是半Smooth格和半连续格当且仅当L是完全分配格。

However, due to the immense data, heterostructure and multiplicity of data types, complicated data structures in databases are available in the real world, those have made association rule mining face a lot of challenges, therefore, the complete concept lattice model is introduced to the study of association rule mining in the dissertation, and some studies are made on concept lattice model, algorithms, and data reduction etc.

然而，由于现实世界数据的海量、异构和数据类型的多样性、结构的复杂性等特点，对关联规则挖掘的研究提出了新的课题。本文将具有完备特性的概念格模型引入到关联规则挖掘的研究，针对关联规则挖掘的模型、方法以及数据归约等方面开展了研究，主要内容及创新工作如下：1。

Obviously, the most basic problem here is: For a certain complete lattice L, what is the condition that a locale S is isomorphic to a L-fuzzy topology?

这里最基本的问题显然是：对于确定的完备格L，Locale S同构于一个L-fuzzy拓扑的条件是什么？

In this paper, firstly, it is stated that, an intuitionistic fuzzy sets is a L-fuzzy set, and a set of all intuitionistic fuzzy sets over X is a complete lattice.

首先指出一个直觉模糊集是L-模糊集且X上所有直觉模糊集的集合是一个完备格。

Firstly, this paper discusses the representation theorems which based onunion-intersection-preserving mapping and intersection-union-preserving map-ping respectively, under the condition of which the membership degree's lattice isonly complete lattice.

本文首先讨论在模糊集的值格仅为完备格时，分别基于并交映射和交并映射的模糊集表现定理。

With Death guitarist Schuldiner adopting vocal duties, the band made a major impact on the scene.

随着死亡的吉他手Schuldiner接受主唱的职务，乐队在现实中树立了重要的影响。

But he could still end up breakfasting on Swiss-government issue muesli because all six are accused of nicking around 45 million pounds they should have paid to FIFA.

不过他最后仍有可能沦为瑞士政府&议事餐桌&上的一道早餐，因为这所有六个人都被指控把本应支付给国际足联的大约4500万英镑骗了个精光。