Generalization of soft topological groups | ||||
Journal of the Egyptian Mathematical Society | ||||
Volume 28, Issue 1, June 2020, Page 1-10 PDF (492.32 K) | ||||
DOI: 10.1186/s42787-020-00075-7 | ||||
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Authors | ||||
M. Nunokawa1; E. Yavuz Duman2; J. Soko3; O. Tantawy; S. A. Kandil4; A. ElShamy4 | ||||
1University of Gunma, Hoshikuki-cho 798-8, Chuou-Ward, Chiba 260-0808, Japan | ||||
2Department of Mathematics and Computer Science, I_stanbul Ku¨ltu¨r University, I_stanbul, Turkey | ||||
3Department of Mathematics, Rzeszo´w University of Technology, Al. Powstan´co´w Warszawy 12, 35-959 Rzeszo´w, Poland | ||||
4Basic Science Department, Canadian International college (CIC), Cairo, Egypt | ||||
Abstract | ||||
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. | ||||
Keywords | ||||
Topological group; Soft topological group; Generalized soft topological groups; Rough topological group; Soft rough topological group; Rough soft topological group | ||||
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