查询词典 fuzzy graph

Based on the existed theory of mareoids and fuzzy matroids, this thesis studies the closed regular fuzzy matroid and its fundamental sequence, the fuzzy base and its algorithm of closed fuzzy matroids, the fuzzy circuit and its algorithm of closed fuzzy matroids and so on. The main contributions of this thesis are as follows: 1 The necessary and sufficient condition of closed regular fuzzy matroid and a property of its fuzzy dual matroid are found by studying some properties of closed regular fuzzy matroid. 2 By studying some properties of fuzzt bases of closed fuzzy matroid, the necessary and sufficient condition of judging fuzzy bases of closed fuzzy matroids and some corollaries are found. In the end, an algorithm of obtaining a fuzzy base is given. 3 By studying some properties of fuzzt circuits of closed fuzzy matroid, some necessary and sufficient conditions of using its fundamental sequence to express fuzzy circuits are found. An algorithm of obtaining a fuzzy circuit is given. 4 By studying the fundamental sequence of closed regular fuzzy matroid, some necessary and sufficient conditions of fundamental sequence of closed regular fuzzy matroid are found.

本文在现有拟阵和模糊拟阵理论的基础上，研究了闭正规模糊拟阵及其基本序列，闭模糊拟阵的模糊基及算法、模糊圈及算法等内容，现分述如下： 1研究了闭正规模糊拟阵的一些性质，得到了闭正规模糊拟阵的充要条件及其模糊对偶拟阵的一个性质； 2研究了闭模糊拟阵模糊基的性质，找到了闭模糊拟阵模糊基的充要条件和几个推论，最后还给出了求模糊基的算法； 3研究了闭模糊拟阵模糊圈的性质，找到了用基本序列来表达模糊圈的几个充要条件，并给出了求模糊圈的算法； 4研究了闭正规模糊拟阵的基本序列，找到了闭正规模糊拟阵的基本序列的几个充要条件。

The dissertation details the functions and characteristic of curves graph element, polygon graph element, character graph element, dimension graph element, parameter graph element, self-define graph element, and research comprehensively the methods describe and graph element attrib. After discussing the basic graph element collection, this thesis gives the description method, organization way, graph element visitation, save and load efficiency, suitability and so on of every element in the basic graph element collection in greater detail. The author provides a graph element data structure organized version which is length changeable and is a block storage record, and designs a new module of data, which can process both the geometry attrib and no geometry attrib of drawing element. Based on this, the data model of all kind of element is put forward.

对采矿CAD系统中基本图元集的构造原则和组织方法进行了研究，提出了一个7元素采矿CAD基本图元集构造方案；论文详细讨论了曲线图元、字符图元、尺寸标注图元、多边形图元、参数图元、自定义图元在采矿CAD系统中的作用和特点，并对各种图元的表述方法和图元属性及相应的库组织方式、存取效率进行了深入的研究，提出了一个&可变长记录块&图元库结构组织方案；通过对采矿CAD系统中基本图元数据模型的构造方法、存取结构和访问方式的研究，给出了一个用C++语言描述的采矿CAD系统基本图元数据模型及其数据存取结构。

The study includes the fuzzy independent set, fuzzy bases, fuzzy circuits, fuzzy rank, fuzzy hyperplanes, fuzzy closure operator, fuzzy submatroid, quasi-fuzzy graph matroids, fuzzy graphic matroids, fuzzy dual matroid and so on.

研究的内容包括模糊拟阵的独立集，模糊基，模糊圈，模糊秩函数，模糊超平面，模糊闭包算子，模糊子拟阵，准模糊图拟阵，模糊图拟阵，模糊拟阵的对偶和模糊拟阵的运算等等。

The study includes fuzzy bases, fuzzy circuits, fuzzy rank function, fuzzy hyperplanes, fuzzy closure operator, fuzzy submatrods, quasi-fuzzy graph matroid, fuzzy graphic matroids, fuzzy dual matroid and so on.

研究的内容包括模糊拟阵的模糊基，模糊圈，模糊秩函数，模糊超平面，模糊闭包算子，模糊子拟阵，准模糊图拟阵，模糊图拟阵，模糊拟阵的对偶等等。

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 exchange theorem of bases of closed regular fuzzy matroids is obtained with the help of "the exchange theorem of bases" of crisp matroids. Then,the relations between the fuzzy bases and the fuzzy circuits in closed regular fuzzy matroids are studied, and some necessary and sufficient conditions for some fuzzy independent set to be a fuzzy base; some fuzzy circuits from a fuzzy base, and some fuzzy bases from a fuzzy circuit are investigated.

根据传统拟阵的基交换定理，作者给出了闭正规模糊拟阵的基交换定理，得到了一系列结论，并在此基础上进一步研究了闭正规模糊拟阵的模糊基与模糊圈之间的关系，然后给出了闭正规模糊拟阵中某模糊独立集是模糊基、从一个模糊基得到一些模糊圈、以及从一个模糊圈得到一些模糊基的充要条件。

We prove the fuzzy set-valued characteristicfunction of a compact Baire fuzzy set can be approached by fuzzy set-valuedcontinuous functions with fuzzy compact support sets,the integral of integrablesimple Baire fuzzy set-valued function can be approached not only by the integralsof integral simple fuzzy set-valued functions,but also by the integrals of fuzzy set-valued continuous function with fuzzy compact support sets.

定义了诱导空间上具有模糊紧支集的模糊集值连续函数，说明了它与分明的具有紧支集的连续函数的关系，证明了紧贝尔模糊集的模糊集值特征函数可以用具有模糊紧支集的连续函数列来逼近，可积简单贝尔模糊集值函数的积分可以用可积简单模糊集值函数的积分来逼近，还可以用具有模糊紧支集的模糊集值连续函数的积分来逼近。

The fourth section is the reseach about I-fuzzy separability and I-fuzzy Lindelof property. The author introduces the concepts of I-fuzzy separability and I-fuzzy Lindelof property, and proves that the degree to I-fuzzy second countability in each of I-fuzzy topological spaces must be less than that to I-fuzzy separability and I-fuzzy Lindelof property.

第四部分是关于I-fuzzy可分性和I-fuzzy Lindelf性的研究，作者引入了I-fuzzy拓扑空间中I-fuzzy可分性和I-fuzzy Lindelf性的概念，证明了一个I-fuzzy拓扑空间是第二可数的I-fuzzy拓扑空间的程度一定小于它是可分的I-fuzzy拓扑空间的程度，也一定小于它是Lindelf的I-fuzzy拓扑空间的程度这也是著名的I-fuzzy Lindel

For example, the Maximum Membership Function Principle is proposed in Chapter 2 on which the presently"scattered" ones among fuzzy mathematical operations for fuzzy control methods such as the acquisition of fuzzy relation, the composition of fuzzy relations and the fuzzy set projection algorithms can be unified to within a common theoretic frame; the geometric criterion for the redundant design parameters is developed for a class of fuzzy supervisory control algorithm in Chapter 4; such concepts as the metric equivalent distance between fuzzy rules are defined to realize the highly efficient reasoning process; consequently the strategy and algorithm for a dynamically commissioned fuzzy controller is given.

如在第二章中，提出了最大隶属度原则，从而将现有模糊控制方法中诸如模糊关系的获得、模糊关系的合成、模糊集的投影等"零碎"模糊数学运算统一到一个共同的理论框架之中；在第四章中，还针对一类模糊监督控制算法推导了其冗余设计参数的几何选取准则；为实现高效推理过程而定义了模糊规则间的距离当量等概念，在此基础上，提出了动态构造模糊控制器的策略和算法。

Embedding the gradient direction search and new kinds of evaluation functions into the Genetic Algorithm, a special hybrid Genetic Algorithm with mutation along the weighted gradient direction to solve non-linear programming problems is developed. Then in Chapt 4, a type of nonlinear programming problems with fuzzy objective and fuzzy resources constraints is discussed, in which the objective is ill-defined and the resources possess two different types of fuzzy resources, i. e., tolerance and imprecision. By way of description and formulation of fuzzy objective and fuzzy resources, the problem with fuzzy objective and two different types of fuzzy resources is modelled into a fuzzy nonlinear programming model FO/RNLP and interpreted as three equivalent alternative crisp model to reflect the variety of the environment and the subjective and preference of the decision maker .

本文首先针对遗传算法在求解非线性规划问题中存在的问题，首次提出非可行点／染色体的主导准可行方向，准可行方向，及非可行点属于可行域的可行度等新概念，借助于模糊思想，提出了描述和度量非可行染色体的新方法；通过嵌入非可行染色体的信息于评价函数中，提出了三种新的评价非可行染色体的评价函数；把传统的启发式方法-梯度方向搜索和新的评价函数嵌入到遗传算法中，提出了一种沿加权梯度方向变异的新型混合式遗传算法；第四章针对生产实际中非清晰定义的模糊目标和两种类型的模糊资源，建立了一类连续型模糊目标／资源约束非线性规划问题的模型FO／RNLP。

You'll be in trouble it you don't watch out .

如果你不注意，你会有麻烦的。

Shaped like a biconvex lens.Of, relating to, or having the form of a hyperbola.

双曲线的属于双曲线的，与之有关的，或有双曲线形状的