完备集

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。

Zadeh put forward, make MTL-algebra"s filter conception fuzzified, provide the conceptions and properties of fuzzy filter, obtain the structure of all fuzzy, filters, prove that the set of all fuzzy filters forms a complete distribution lattice; Provide several fuzzy Boolean filter"s equivalent forms, introduce fuzzy positive implicative filter, fuzzy obstinate filter and fuzzy ultra filter, discuss some property characteristics and terms that transform each other under certain terms to obtain them.

Zadeh提出的模糊集思想使MTL-代数的滤子概念模糊化，给出了Fuzzy滤子的概念和性质，得到了全体Fuzzy滤子的结构，证明了全体Fuzzy滤子之集构成完备的分配格；给出了Fuzzy布尔滤子的若干等价形式，并且引入了Fuzzy正蕴涵滤子，Fuzzy固执滤子和Fuzzy超滤的概念，得出了它们的一些性质特征以及在一定条件下之间相互转化的条件。

On the aspect of functional testing, this paper represents the concept of functional testing and focuses on the functional test suite design. Based on the in-depth study of GSM-R network E-interface services and considering the completeness and redundancy of the test suite, equivalence class method is used to design the test suite, and then an analysis of its inadequate is conducted and a new design method is proposed .The two methods are compared and a suggestion on how to design a GSM-R network interoperability test suite is given.

功能性测试方面，本文阐述了功能性测试的概念，重点研究了功能性测试集的设计方法；在深入研究分析GSM-R网络E接口业务的基础上，分别考虑了测试集的完备性和冗余性，首先使用等价类划分方法设计了E接口的测试集，然后对其不足进行了分析，并提出了一种新的设计方法，最后对两种设计方法进行了对比分析，对如何设计GSM-R网络互联互通测试集提出了建议。

Based on a kind of orthogonal complete functions in L2[0,1], another one (called V-system) which has equivalence relation with U-system is created. It is a kind of new and effective mathematical tool on signal multi-resolution analysis. Besides that V-system keeps the favorable properties of U-system and can accurately reconstruct geometry information which expressed in piecewise polynomials by finite sum of functions in V-system, it has more special properties, such as simple construction, abundant levels, convenience of application, quick calculation, local support, and so on. V-system is the generalization of Haar orthogonal functions, and to be a class of wavelet base. It has a good future for some applications in the fields of wavelet analysis and signal processing.

从L2[0，1]空间的一类正交完备函数系U系统出发，构造了另一类与之等价的正交完备函数系，称之为V系统，它是信号多分辨分析方面的一种新型的、有效的数学工具。V系统不仅保持了U系统的优良特性，对多项式表达的几何信息能够做到有限项精确重构，并且较之U系统，它更有结构简单、层次分明、计算快捷、局部支集等特点，应用起来将更加灵活方便。V系统可以看作是Haar函数系的推广，是一类小波基，在某些数字信号处理及小波分析问题中有良好的应用前景。

In the sense of cutset, the relation between the rough set of a cutset and the cutset of a rough set, a fuzzy rough set of a fuzzy primary ideal in a semigroup is proved to be its fuzzy primary ideal. The sixed chapter is Rough Primary Ideals and Rough Fuzzy Primary Ideals in rings, the corresponding results of a semigroup are generalized in a ring. The last chapter is Rough-fuzzy Subsemirings in Semirings, First, the lower and upper rough-fuzzy semirings together with the left and the right ideal are defined.

利用截集意义下，截集的粗糙集与粗糙集截集的关系，证明了在完备同余关系下半群中的模糊准素理想的粗糙集是模糊准素理想；第六章是环中粗准素理想和粗模糊准素理想，将半群中的相(来源：A70BC论文网www.abclunwen.com)应结果推广到环中；第七章是半环中的粗模糊子半环，首先，给出上粗模糊子半环及上粗模糊理想等概念，并研究了它们的性质。

According to the existence results of general equilibrium problems and vector equilibrium problems have been studied more and more. Inspired and motivated by these research results, this paper is devoted to study systematically a class of equilibrium problems, which is unify and extension of a large number of known equilibrium problems and variational inequalities problems. The research is carried on from three aspects.Firstly, in finitely continuous topological spaces, we introduce four new types of the system of generalized vector quasi-equilibrium problems, and we derive some existence results of a solution for the system of generalized vector quasi-equilibrium problems via the maximal element theorems in product finitely continuous topological spaces.Secondly, in complete metric spaces, we provide the Ekeland variational principle to equilibrium problems with set-valued maps. And via the Ekeland variational principle, existence results for vector equilibrium problem with set-valued maps and the system of vector equilibrium problem with set-valued maps.

针对一般的均衡问题和向量均衡问题解的存在性，已有许多研究成果，受这些成果的启发，本文主要从理论上较为系统地研究了一类均衡问题，它统一和推广了许多已有的均衡问题和变分不等式问题，研究分有三个方面；首先，在有限连续拓扑空间中，我们提出了四类广义向量拟均衡系，并借助于有限连续拓扑空间中的极大元定理讨论了这四类均衡系问题的解的存在性问题，然后，在完备度量空间中，我们给出了关于集值均衡问题的Ekeland变分原理，并利用Ekeland变分原理分别讨论了集值向量均衡问题和集值向量均衡系问题的解的存在性。

It is shown by the analysis of its time complexity and completeness as well as the numerical experiment that the proposed algorithm can achieve the goal of completeness and rapid convergence.

对算法进行的时间复杂度和完备性分析以及数值实验表明，基于遗传算法的粗糙集属性约简算法具有完备、快速收敛等特点。

The basic principle and hierarchical frame of FSR decision-making solving for DN is proposed creatively based on reliable knowledge. The categoricalness and high efficiency of decision-making solution set for FSR are ensured. The principle layer controls and realizes the search range and realization mode. The hierarchy and subarea search is performed, whose optimal rule is considered at the same time in order to ensure the solving rapidity. The decision-making realization layer forms the operation sequence of switch based on the trunk network set algorithm. The categoricalness and high efficiency of decision-making solution set for FSR is ensured.

创造性的提出了基于可靠性知识的配电网故障恢复决策解集构造的基本原理和实现的层次结构：确保恢复处理决策解集构造的完备性与高效性；原则层控制实现解集的搜索范围及实现模式，按兼顾优化原则的分层、分区搜索并确保求解的快速性；决策实现层在实现模式和相应树干网集运算的基础上，形成恢复处理决策开关操作序列，确保决策开关操作序列形成的高效率。

QunjingYinbian was the most systematical and self-contained dictionary on alternative pronunciation words then and there. Because it could offer some reference and convenience for the editing of Jiyun, the editors had paid highly attention on it and used it to compose Jiyun as an important reference, thus having significant effect on Jiyun in many aspects.

由于该书可称得上是当时一部最为系统和完备的异读词词典，可为《集韵》增收异读音义提供诸多参考和方便，因而引起了他们的高度重视，于是被列为重要的参考书用来参酌编修《集韵》，由此在诸多方面都对《集韵》产生了重要影响。

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。