共查询到20条相似文献,搜索用时 0 毫秒
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The connections between some countability properties of a topological space (X, ) and its generated fuzzy topological space (X, ω()) are investigated. 相似文献
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Pratulananda Das 《Fuzzy Sets and Systems》1998,100(1-3):367-372
The notion of product fuzzy topology in the case of fuzzy topology on fuzzy sets is introduced and the product invariance of fuzzy Hausdorffness, compactness, connectedness are examined. The product fuzzy topology is used to define fuzzy group topology on a fuzzy subgroup of a group G and some properties of fuzzy topological groups are obtained. 相似文献
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We study fuzzy symmetric subgroups and obtain some properties of fuzzy symmetric subgroups of symmetric groups. 相似文献
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A.K Katsaras 《Fuzzy Sets and Systems》1981,6(1):85-95
Some of the properties of fuzzy topological vector spaces are investigated. Also, there are given necessary and sufficient conditions for a family of fuzzy sets, in a vector space E, to be the family of all neighborhoods of zero for a fuzzy linear topology. 相似文献
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《佛山科学技术学院》2014,6(1):71-92
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. 相似文献
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Fuzzy拓扑体 总被引:1,自引:0,他引:1
尚琥 《数学的实践与认识》2005,35(1):186-191
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 . 相似文献
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We introduce and study almost compactness for fuzzy topological spaces. We show that the almost continuous image of an almost compact fuzzy topological space is almost compact. Moreover, we show that generally almost compactness for fuzzy topological spaces is not product-invariant, but if X and Y are almost fuzzy topological spaces and X is product related to Y, then their fuzzy topological product is almost compact. 相似文献
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A.K. Katsaras 《Fuzzy Sets and Systems》1984,12(2):143-154
Some of the properties of the fuzzy seminormed and fuzzy normed spaces are studied. Also, the notion of a bornological fuzzy linear space is given and some of the properties of such a space are investigated. 相似文献
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Let L be a completely distributive lattice with order reversing involution, and (X, τ) an L-fuzzy topological space. The purpose of this paper is to introduce the fundamental concept of fuzzy algebraic topology-the singular homology groups of the L-fuzzy topological space, in such a way that they take the (usual) cubical singular homology groups of a topological space as a special case. Also, we shall prove that they are L-fuzzy homeomorphic invariants. 相似文献
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Let (G, τ) be a commutative Hausdorff locally solid lattice group. In this paper we prove the following:
As an application, a version of the Nikodym boundedness theorem for set functions with values in a class of locally solid
topological groups is established. 相似文献
(1) | If (G, τ) has the A(iii)-property, then its completion is an order-complete locally solid lattice group. |
(2) | If G is order-complete and τ has the Fatou property, then the order intervals of G are τ-complete. |
(3) | If (G, τ) has the Fatou property, then G is order-dense in Ĝ and has the Fatou property. |
(4) | The order-bound topology on any commutative lattice group is the finest locally solid topology on it. |
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P Wuyts 《Fuzzy Sets and Systems》1984,12(1):71-85
In this paper we discuss the problem of the reconstruction of a fuzzy topological space or a fuzzy neighbourhood space from an a priori given family of level-topologies. Necessary and sufficient conditions for the existence of a solution are given, and it is proved that in the particular case of fuzzy neighbourhood spaces this solution is always unique. 相似文献
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Siegfried Gottwald 《Fuzzy Sets and Systems》1981,5(2):199-201
We prove that three theorems of C.K. Wong on local properties of fuzzy topology are wrong, thereby we discuss his notions of fuzzy point, C1, separability, and local compactness. 相似文献
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