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A new approach for soft topology and soft function via soft element
Mathematical Methods in the Applied Sciences ( IF 2.9 ) Pub Date : 2020-03-14 , DOI: 10.1002/mma.6354
Kemal Taşköprü 1 , İsmet Altıntaş 2, 3
Affiliation  

In this article, we give some new properties of elementary operations on soft sets and then we introduce a new soft topology by using elementary operations over a universal set with a set of parameters called elementary soft topology. Also, we define a topology, members of which are collections of the soft elements and give the relation between this topology and elementary soft topology. We show that this new soft topology is different from those previously defined soft topologies. We prove some of the properties of the topological concepts we investigate in this topology. Finally, we describe soft function and soft continuity and give an application of the soft function as soft set approach to the rotation in E 3 .

中文翻译:

通过软元件实现软拓扑和软功能的新方法

在本文中,我们给出了软集合上基本操作的一些新属性,然后通过在具有一组称为基本软拓扑的参数的通用集上使用基本操作,介绍了一种新的软拓扑。另外,我们定义一个拓扑,其成员是软元素的集合,并给出此拓扑与基本软拓扑之间的关系。我们表明,这种新的软拓扑不同于先前定义的软拓扑。我们证明了我们在此拓扑中研究的拓扑概念的某些属性。最后,我们描述了软函数和软连续性,并给出了将软函数作为软集合方法应用于旋转的应用。 E 3
更新日期:2020-03-14
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