On separation axioms of topological rough groups

被引：1

作者：

Li, Pi-Yu ^{[1
]}

Liu, Wen-Li ^{[2
]}

Mou, Lei ^{[3
]}

Guo, Zhi-Fang ^{[4
]}

机构：

[1] Xuzhou Univ Technol, Sch Math & Stat, Xuzhou 221018, Jiangsu, Peoples R China

[2] Anshan Normal Univ, Sch Math & Informat Sci, Anshan 114056, Peoples R China

[3] Capital Normal Univ, Sch Math Sci, Beijing 100048, Peoples R China

[4] Shijiazhuang Tiedao Univ, Dept Math & Phys, Shijiazhuang 050043, Hebei, Peoples R China

来源：

SOFT COMPUTING | 2023年 / 27卷 / 01期

基金：

北京市自然科学基金;

关键词：

Topological rough group; Strongly topological rough group; Separation axiom; UPPER APPROXIMATIONS;

D O I：

10.1007/s00500-022-07521-x

中图分类号：

TP18 [人工智能理论];

学科分类号：

081104 ; 0812 ; 0835 ; 1405 ;

摘要：

In this paper, separation axioms of topological rough groups are discussed. Two examples are constructed to show that there exist Hausdorff topological rough groups such that they have no regular separation. This answers an open question posed in (Lin et al. in Soft Comput 25: 3441-3453, 2020). We also consider regularity of a strongly topological rough group.

引用

页码：57 / 61

页数：5

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