1) fuzzy topology
fuzzy拓扑
1.
In this paper,a method is presented to generate smooth topology from fuzzy topology by neighborhood degree and a method to generate fuzzy topology from smooth topology by the structure of smooth topology, then the mapping between them is discussed.
利用邻域度给出了 1种由 fuzzy拓扑产生 smooth拓扑的方法 ;利用 smooth拓扑的自身结构给出了 smooth拓扑产生 fuzzy拓扑的方法 ,讨论了它们在映射间的联系并引入了强 smooth拓扑并获得了一些重要结
2) fuzzy topological group
Fuzzy拓扑群
1.
In this paper we forthermore study fuzzy topological groups and discuss the relation between open fuzzy set and closed fuzzy set of fuzzy topological groups.
在讨论了Fuzzy拓扑群的一些性质,提出Fuzzy拓扑群下相对闭集的概念之后,笔者继续开展了这方面的工作,得出一个Fuzzy开集和任意一个Fuzzy子集的乘积均为Fuzzy开集等一些结果,并提出Fuzzy群的一种分类方法——Fuzzy群分类定理。
3) I-fuzzy topology
I-fuzzy拓扑
1.
In this paper,the concepts of base and subbase are introduced in I-fuzzy topology and some properties of them are obtained and sufficient and necessary conditions were studied based on the concept of R-neighborhood structure.
在I-fuzzy拓扑空间中引入R-邻域系,利用R-邻域系给出基和子基的概念,研究了基和子基的充分必要条件。
2.
In this paper,we introduce T_0-,T_1-,T_2-,T_3-,T_4-separation axioms in the framework of I-fuzzy topology,and give some of their equivalents as well as the relations with one another of these axioms.
本文在I-fuzzy拓扑中引入了T_0-,T_1-,T_2-,T_3-,T_4-分离公理,且给出了一些它们的等价命题以及它们彼此间的关系。
3.
The aim of this paper is to study the separation in L-topology and I-fuzzy topology, respectively.
本文分别研究了L-拓扑学和I-fuzzy拓扑学的分离性。
5) fuzzy topological skew field
Fuzzy拓扑体
1.
The concept of a fuzzy topological skew field is introduced and its properties are studied, it is obtained that a necessary and sufficient condition to describe fuzzy topological skew field bythe open Q-neighborhood base of θ λ.
引入了 Fuzzy拓扑体的定义 ,研究了它的性质 ,得到了借助于θλ的重域系及开重域基刻画 Fuzz拓扑体的充要条件 ;为 Fuzzy拓扑体理论研究提供了框架和工具 。
补充资料：拓扑结构(拓扑)
拓扑结构(拓扑)
topologies 1 structure (topology)
拓扑结构(拓扑)【t哪d哈eal structure(to和如罗);TO-no“orHtlec~cTpyKTypa」，开拓扑(oPen to和fogy)，相应地，闭拓扑(closed topofogy) 集合X的一个子集族必(相应地居)，满足下述J胜质: 1.集合x，以及空集叻，都是族。(相应地容)的元素. 2。(相应地2劝.。中有限个元素的交集(相应地，居中有限个元素的并集)，以及已中任意多个元素的并集(相应地，居中任意多个元素的交集)，都是该族中的元素. 在集合X上引进或定义了拓扑结构(简称拓扑)，该集合就称为拓扑空间(topological sPace)，其夕。素称为.l5(points)，族份(相应地居)中元素称为这个拓扑空问的开(open)(相应地，闭(closed))集. 若X的子集族份或莎之一已经定义，并满足性质l及2。。(或相应地l及2衬，则另一个族可以对偶地定义为第一个集族中元素的补集族. fl .C .A二eKeaH及pos撰[补注1亦见拓扑学(zopolo群);拓扑空l’ed(toPo1O廖-c:，l印aee);一般拓扑学(general toPO】ogy).
说明：补充资料仅用于学习参考，请勿用于其它任何用途。
参考词条