A short note on some properties of rough groups. (English) Zbl 1189.20073
Summary: It is a useful method in research of group theory to construct a new group by using known groups. Lower and upper approximation operators of rough sets are applied to group theory and so the notion of a rough group has been introduced. In this paper, we first point out that there are still some incomplete propositions in [N. Kuroki, P. P. Wang, Inf. Sci. 90, No. 1–4, 203–220 (1996; Zbl 0878.20050)] although some authors have shown several incorrect statements in the literature. We then present improved versions of the incomplete propositions and continue to study the image and inverse image of rough approximations of a subgroup with respect to a homomorphism between two groups.
Citations:
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