关于模糊拓扑环的直积

给出模糊拓扑环族直积的定义,研究它的性质,及任意模糊拓扑环族直积、与其模糊拓扑子环,与其模糊拓扑剩余环之间的同构问题.并对(QU)型模糊拓扑环关于上述问题进行研究.     

关于模糊拓扑环的模糊度量化

本文引入了模糊拓扑环可广义模糊度量化 ,可模糊伪度量化及可模糊度量化三个概念 ;并分别得到了模糊拓扑环可广义模糊度量化 ,可模糊伪度量化及可模糊度量化的三个充分必要条件     

关于T-S模的直觉模糊群的直积特征

首先将T模、S模的概念推广,并研究了推广的T-S模的基本性质,进而分别定义了在对偶模意义下直觉模糊群的外直积与内直积.最后,证明了直觉模糊群的两种直积在一定条件下是同构的.     

Fuzzy子群的直积特征

自A.Rosenfeld 1971年提出fuzzy子群的概念以来,关于fuzzy代数结构方面的讨论正在逐步深入下去。对fuzzy子群直积的研究已有些文章,如文[1],[2]等。本文以文[2]给出的fuzzy子群的直积概念,在§2中研究了直积fuzzy子群的几个特征性质;在§3中得到了直积群G×G上的fuzzy子群可分解为群G上fuzzy子群直积的充分必要条件。作为推论,得到了群G×G上fuzzy正规子群可分解为群G上正规子群直积的充分必要条件。     

（QU）型Fuzzy拓扑群的Fuzzy一致化与Fuzzy度量化

本文沿用[1-3]的一些名词和记号,设X为非空普通集,X为X上所有Fuzzy点组成的集,λ表取常值λ的Fuzzy集,记[0,1],(O,1]为I、I_0;以I~(X×X)表X×X上全体Fuzzy集,N为自然数集.     

模糊图直积中的模糊圈

本文将研究两个模糊图直积中的模糊圈。通过我们的讨论,证明了两个有内点的模糊图的直积中必有模糊圈,而两个无内点的模糊图的直积中必无模糊圈;我们还对直积中所有边是否在某个圈上进行了较为细致的讨论,得到了下列主要结果:任意一个模糊图与模糊圈的直积中必有模糊圈,且每条边均在其某个模糊圈上。     

模糊子群直积的若干性质

在Ray的论文[Onproduct of fuzzy subgroups105（1999）181—183]中，作者给出了模糊子群直积在min下的一些性质。在本文中我们将给出更多关于模糊子群直积的性质，并推广到模糊子环上；最后讨论了模糊子群的直积在t-模下的一些性质。     

(L,M)-模糊拓扑空间中模糊紧性的测度

本文借助不等式,在(L,M)-拓扑空间中引入了模糊紧性度的概念,并讨论了它的性质.     

模糊关系积在群决策中的应用

将模糊三角积及方积的概念用于群体多准则决策,给出了一种分析比较专家意见的方法,定义了专家意见的一致性,并在此基础上对专家的观点在不同水平上进行分类     

Fuzzy Soft Topological Groups

Notions of Lowen type fuzzy soft topological space are introduced and some of their properties are established in the present paper. Besides this, a combined structure of a fuzzy soft topological space and a fuzzy soft group, which is termed here as fuzzy soft topological group is introduced. Homomorphic images and preimages are also examined. Finally, some definitions and results on fuzzy soft set are studied.     

On Subgroups and Quotient Groups of L-fuzzy Topological Groups

In paper [1], it gave the concept and basic properties of L-fuzzy topological groups. This paper will enter the concept of quotient groups of L-fuzzy topological groups and will prove some properties of subgroups and quotient groups. The persent work is the continuation of [1] and hence all the conventions in [1] still hold good in the present paper.     

On Periodic (Co)Homology of Groups

Here we show that a countable group G has periodic cohomology of period q after some steps with the periodicity isomorphisms induced by cup product with an element in H ^q (G, ?) if and only if G has periodic homology of period q after some steps with the periodicity isomorphisms induced by cap product with an element in H ^q (G, ?). In [2 Asadollahi , J. , Hajizamani , A. , Salarian , Sh. Periodic flat resolutions and periodicity in group (co)homology. To appear in Forum Mathematicum.  [Google Scholar]] Asadollahi, Hajizamani, and Salarian showed that, if a group G is such that every flat ?G-module has finite projective dimension, then G has periodic cohomology of period q after some steps with the periodicity isomorphisms induced by cup product with an element in H ^q (G, ?) if and only if G has periodic homology of period q after some steps with the periodicity isomorphisms induced by cap product with an element in H ^q (G, C), where C is the cotorsion envelope of the trivial ?G-module ?.     

On the direct product of fuzzy topological groups

The connections between some countability properties of a topological space (X, $\text{T}$) and its generated fuzzy topological space (X, ω($\text{T}$)) are investigated.     

On Direct Product of HX Groups

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(R)型准可解流形上映射同伦类的拓扑熵的下确界

设$f$是(R)型准可解流形$M$上的连续自映射, $N^\infty(f)$是$f$的渐近Nielsen数,本文将利用Nielsen不动点理论,给出$\log\,N^\infty(f)$是$f$的映射同伦类的拓扑熵的下确界的充分条件,这些条件将推广准幂零流形上的类似结果.     

模糊拓扑环的模糊复范化

引入环上的模糊复范数概念 ,得到模糊拓扑环可模糊复范化的充分必要条件 ,从而揭示出模糊拓扑环与普通拓扑环所不同的一个新特点 .