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It overcomes all the errors and shortcomings of Zadeh's fuzzy set theory: it correctly reflects different kinds of fuzzy phenomena in the natural world; set complement exists on it; it has uniform calculating formulas for membership; it satisfies all formulas of the classical set theory and is consistent with classical and normal thinking, logic and concepts.

新理论能克服Zadeh模糊集合理论的三个缺点和两个错误；能正确地描绘客观世界的全部模糊现象；有补集；隶属度有统一的计算公式；并且是经典集合系统的特例，能满足全部经典集合的公式，与正常思维、逻辑和概念一致。

The research has been carried out basing on the conclusion that the image of connected set under the closed point-to-set map is a connected set.

本文通过反例说明了连通集上闭的点集映射的象集未必是连通集，从而揭示了多目标规划有效解集连通性研究中存在的问题。

Based on the viewpoint of set and denseness,this paper discusses some characteristics of the of continuity set and differentiable function set,and the structure of differentiable function sets,and demonstrates that there does not exist a continuous functional sequence {fn} which is convergent to Dirichlet function.

从集合观点和稠密性出发，讨论了连续函数和可导点集的一些特性及可导函数点集的构造，并证明了R上不存在收敛于Dirichlet函数的连续函数列{fn

Introducing a neighborhood relation to set valued information systems,we established a rough set approach based on the neighborhood of every object as elementary set.

在集值信息系统上引入对象的邻域关系，并以每个对象的邻域作为基本集，建立了集值信息系统的粗糙集方法。

We prove that in every induced locally compact 〓fuzzy topological groupthere exist at least one regular fuzzy set-valued Haar measure.We define the fuzzymeasurable group and prove that the fuzzy set-valued Haar measure in a fuzzymeasurable group is essentially unique.We also construct the fuzzy topologicalstructure on a group by the fuzzy set-valued measure such that make it a fuzzytopological group.

证明了诱导局部紧〓模糊拓扑群上存在模糊集值Haar测度，定义了模糊可测群，通过对模糊可测群的研究证明了诱导局部紧〓模糊拓扑群上的模糊集值Haar测度本质上的唯一性，并利用模糊可测群上的模糊集值测度构造了群上的模糊拓扑结构使之成为模糊拓扑群。

The main body of a book set off from the clothing design angle , be tied in wedlock each other by starting to pertinent theoretical analysis , linking the clothing design basal principle with, marketplace , put into practice by cooperating with project of the local TV station, thereby, sum up out a set of the new law that TV variety show anchorperson clothes and ornaments designs , form a set of new method that clothes and ornaments designs to this type thereby:(1) establishes anchorperson clothes and ornaments style , establishes anchorperson clothes and ornaments expressing priority;(2) union anchorperson oneself qualities characteristic , image characteristic , entirety design;(3) sets off from to accepting numerous angles , studies mentality, is had the design being aimed at by numerous appreciation of the beauty;(4) is in anchorperson clothes and ornaments colour being going , seek in the unification change to come to consider style and hue from entire stage indeed at the regular time;(5) heddle skill entertainment anchor-man clothes and ornaments detail designs that priority chooses high-quality material on clothing collar headquarter , shoulder , bosom, emphasize that the meticulous handicraft is right away especially important;(6) when has being anchorperson more in one program, clothes and ornaments designs that emphasizing that the series feels more.

本文从服装设计的角度出发，通过对相关的理论分析入手，结合服装设计的基本原理，与市场相结合，通过与地方电视台的项目合作实践，从而总结出一套电视综艺节目主持人服饰设计的新规律，从而形成对此类型服饰设计的一套新方法：(1)确立主持人服饰风格，确立主持人服饰表达重点；(2)结合主持人自身气质特点、形象特点，整体设计；(3)从受众的角度出发，研究受众的审美心理，有针对的设计；(4)在主持人服饰颜色的确定时，要从整个舞台的风格和色调来考虑，在统一中求变化；(5)综艺娱乐节目主持人服饰的细节设计重点在服装的领部、肩部、胸部上，选取高品质的素材、强调精细的工艺就尤为重要；(6)在一台节目有多个主持人时，服饰设计更强调系列感。

Firstly,the classification of probability rule is analyzed on the base of classic rough set concepts and extended to the equal relation of set in the indefinite system,namely,the upper and lower approximation space of research set is expressed in the form of conditional probability;then,according to the measure of probability rule,the attributes reduction is carried out and the classification rule is extracted by using the related parameters of condition attributes' impend precision from the angle of conditional probability;Finally,the related simulation test result is given and the result shows the classification rules with probability measures is more rational.

首先在经典粗糙集概念的基础上分析概率规则的分类，并将其推广到不确定系统的集合等价关系中，即用条件概率的形式表示研究集合的上下近似空间；然后根据概率规则的测度从条件概率的角度利用条件属性的逼近精度的相关参数进行属性集的约简进而提取分类规则；最后给出了相关的仿真实验结果，结果表明带有概率测度的分类规则更合理。

And several rough set operation algorithms are also offered in this paper,such as upper approximation set,lower approximation set,intersection, cardinal number and so on.

通过讨论二进制与粗糙集之间的内在联系，提出基于二进制的粗糙集运算理论，并借助二进制的位运算操作，给出粗糙集的上近似集和下近似集、等价类的交、集合的基数的运算算法。

In Chapter 1, we state some notions and results on the limit set and the attractor of Conley invariant set theory, and give some sufficent condtions for an invariant set to be a quasi-attractor.

总共分四章。第一章，简要介绍了C.Conley不变集理论中有关极限集，吸引子的概念和结果，并给出了判定不变集为拟吸引子的一些充分条件。

In this paper, firstly, not only the incidence matrix ,adjacent matrix, cycle matrix, cut-set matrix of an undirected graph are summarized, but also the close contact between a graph and its corresponding matrix are discussed ; secondly, many problems of a graph which are solved by analysing its matrix are listed as follows:1、The co-tree set of a graph is obtained by using its cycle-matrix ; 2、The branches of its spanning tree are given by using its cut-set matrix ; 3、By making use of the incidence matrix of a graph ,not only its vertex cut 、cut vertex 、isolated point and spanning tree can be obtained ,but also the two sides which are whether parallel or not can be judged ;4、By using their adjacent matrix ,the two graphes which are whether isomorphous or not can be judged; once more, there is a detailed introduction in view of special graph (for example: bigaritite graph ,regular graph and so on);last but not least, a graph method of calculating the N power of a matrix is given and the practical applications of the theorem for degree is indicated.

本文首先综述了无向图的关联矩阵，邻接矩阵，圈矩阵，割集矩阵以及图和它对应矩阵之间的关系；其次总结出了利用上述各类矩阵可以解决的图的若干问题：1、利用图的圈矩阵可以求其连枝集；2、利用图的割集矩阵可以求其生成树的树枝；3、利用图的关联矩阵不仅可以求其割点、点割集、连通度、孤立点和生成树，而且可以判断两条边是否平行；4、利用图的邻接矩阵可以判断两个图是否同构；再次，针对特殊图（例如：二分图、正则图等等）的邻接矩阵作了详细介绍；最后，得到了利用图计算矩阵的N次幂的方法，指出度数定理的实际应用。

The visit of all these marauders must be anticipated, and measures taken to prevent their depredation .

应该预料到这些抢劫者的侵袭，并制定防范他们抢劫的措施。

It is no effect of him whatever threaten or speak the sense.

无论是恐吓还是讲道理对他都不起作用。