完备集

Simultaneously, the classical rough set theory is based on complete information systems.

同时，经典粗糙集理论缺乏对不完备信息的处理。

In order to process incomplete information systems, the classical rough set theory needs to be extended.

为了能够有效地分析处理不完备的信息系统，必须对现有的Rough集模型进行扩充。

Then based on extension of classical rough set theory, we discuss methods ofattribute reduction and rules extraction in incomplete information system.

在对经典粗糙集理论进行扩展的基础上，讨论了不完备信息系统中的属性约简方法和规则获取方法。

In order to process incomplete information systems, the classical rough set theory needs to be extended to some unequal relation.

需要将经典的粗糙集理论不可分辨关系加以扩充才能处理不完备信息系统。

Based on the odd-perfect almost binary sequences, the new odd-periodic correlation complementary sequence set is obtained.

基于一类完备周期奇相关函数的几乎二元序列，得到了一类新型奇相关互补序列集。

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。

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""，""

Erent. In this chapter, under theenvironment of complete lattice, it gives some new solving methods of the threepublic problems. The tool is the representation theorem which based on union-intersection-preserving mapping and intersection-union-preserving mapping.

本章在值格仅为完备格环境下，给出了这些公开问题的新解决办法，主要工具是基于保并交映射和交并映射的模糊集表现定理。

Chapter one: Provide the simple introduction to basic conceptions and properties used in the article about MTL-algebra; prove the set of all the filters form a complete distribution lattice in MTL-algebra; Discussion some property characteristics of Boolean filter, at the same time introduce the conceptions of positive implicative filter and obstinate filter, receive some properties of them, discuss the relation between the important filters and their equivalent condition.

第一章：对文章中用到的关于MTL-代数的基本概念和性质给出简单的介绍，证明了MTL代数中的全体滤子之集构成一个完备的分配格；讨论了布尔滤子的一些性质特征，同时引入和固执滤子的概念，得到它们的一些性质，探讨了几类重要滤子之间的关系。

Whereas, what worth to say is thatthe representation theorem in most of literatures is obtained by strengthen thecondition of the membership degree's lattice. Such as it needs the membershipdegree's lattice was dense complete lattice, completely distribute lattice or unitinterval, ect.

但是，值得指出的是，多数文献中的表现定理是对模糊集的值格加强限制条件下得到的，例如有些文献要求值格为稠密完备格、完全分配格或者实单位区间等等。

But we don't care about Battlegrounds.

但我们并不在乎沙场中的显露。

Ah! don't mention it, the butcher's shop is a horror.

啊！不用提了。提到肉，真是糟透了。