There exists two different definitions for soft topological groups, the first due to Hida and the other due to Tariq Shah. In this paper, we give a generalization for both of them, and also, we study the topological properties for the construction of finer soft topology made by Nazmul and use the same technique to construct a soft topological group via Hida concept starting from a parametrized family of topological groups. Then, we introduce the concept of soft rough and rough soft topological group to generalize the concept of rough and soft topological group.

中文翻译：

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软拓扑群的推广

软拓扑群有两种不同的定义，第一种是 Hida 定义的，另一种是 Tariq Shah 定义的。在本文中，我们对它们进行了概括，此外，我们研究了 Nazmul 构建的更精细软拓扑的拓扑性质，并使用相同的技术通过 Hida 概念从参数化族开始构建软拓扑群拓扑群。然后，我们引入软粗糙和粗糙软拓扑群的概念来概括粗糙和软拓扑群的概念。