文中对牛顿迭代及其相关方法的分形几何集进行构建，将动态参数和异步用于牛顿迭代，构造并研究了广义牛顿变换的J集。
In this paper create and study the generalized Newton transform J-Set, dynamic parameter and asynchronous Newton's method, analyze the effect of error and dynamic parameter.
定义了A-紧1-集压缩映象场的广义度，扩展了1984年张庆雍建立的半紧1-集压缩映射的不动点指数理论。
In the present paper, we define a generalized degree for A-compact 1-set contraction mapping, the result extends what Zhang Qingyong obtained in 1984.
此外，对这两种积的局部割集和广义割集的性质也进行了考虑。
In addition, properties on local cuts and generalized cuts in these two kinds of product of graphs are also considered.
通过引进覆盖等价的概念，给出了给定论域上任意集在不同覆盖下具有相同正负域覆盖广义粗集的充要条件。
Based on the equivalent covering, the necessary and sufficient condition for different covering to generate the same positive-negative region covering generalized rough sets is given.
应用这些构造方法可以从已知的广义相对差集偶构造出新的广义相对差集偶。
By using these construction methods, the new generalized relative difference set pairs can be constructed from the known generalized relative difference set pairs.
本文主要进行了粗糙集的数学基础研究，与程度粗糙集和变精度粗糙集两个广义粗糙集模型的探讨。
In this paper, the mathematical foundation study of rough sets and the study of two general rough sets models are mainly researched.
引进了相对内部，应用凸集分离定理建立了一个广义凸集值映射的择一性定理。
Then relative interior is introduced and an alternative theorem of generalized convex set-valued maps is established by using the separation theorem.
算法选取网络中一组无环连通点集抽象为广义数据汇聚点集。
The algorithm uses a group of connective nodes without loop as a generalized data gather vertex set.
对一族定义在局部广义凸一致空间的乘积空间上的集值映射，给出了一个集族不动点定理。
A collectively fixed point theorem for a family of set-valued mappings defined on a product space of locally generalized convex uniform Spaces is first proved.
研究了临界点对应的M集和广义M集的分形结构特征。
The fractal feature of M sets and generalized M sets corresponding to different critical points is studied.
引入一个集合的广义高阶相依集和广义高阶邻接集的概念，并讨论了它们的一些性质。
We introduce generalized higher-order contingent sets and generalized higher-order adjacent sets for sets, and also discuss some properties of them.
目前，人们对广义粗糙集的研究主要集中在集合的近似计算上，而真正利用广义粗糙集进行属性约简的研究还很少见。
The existing researches on generalized rough sets are mainly concentrated on set approximations; less effort has been made for attribute reduction.
第1章介绍了凸集类对空间理论，及基于凸集类对空间理论介绍了广义拟可微函数的部分微分理论。
In Chapter 1, the space of families of pair of convex sets is introduced, which is the quotient space of the set of families of convex sets under suitable equivalence relations.
模拟的200个随机数据集分别建模所得广义调整R 2无大于等于实际数据集所得广义调整r 2值。
The generalized adjusted R2 of 200 simulated data sets models all are less than that of the actual data models.
模拟的200个随机数据集分别建模所得广义调整R 2无大于等于实际数据集所得广义调整r 2值。
The generalized adjusted R2 of 200 simulated data sets models all are less than that of the actual data models.
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