Topological Structure of Vague Soft Sets

Topological Structure of Vague Soft Sets
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模糊软集的拓扑结构

DOI:
10.1155/2014/504021
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发表时间:
2014-07
影响因子:
--
通讯作者:
Yaya Li
Yaya Li
中科院分区:
--
文献类型:
--
作者:
Chang Wang;Yaya Li

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我们引入了定义在具有一组固定参数的初始论域上的Vague软拓扑空间。引入了Vague软开集、Vague软闭集、Vague软内部、Vague软闭包和Vague软边界的概念,研究了它们的基本性质和关系。此外,通过实例证明了拓扑空间和软拓扑空间的某些性质在Vague软拓扑空间中不成立。研究了Vague软连通性和Vague软紧性。
We introduce vague soft topological spaces which are defined over an initial universe with a fixed set of parameters. The notions of vague soft open sets, vague soft closed sets, vague soft interior, vague soft closure, and vague soft boundary are introduced and their basic properties and relations are investigated. Furthermore, with the help of examples they established that some properties of topological spaces and soft topological spaces do not hold in vague soft topological spaces. Vague soft connectedness and vague soft compactness are also studied.
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