Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
469467 | Computers & Mathematics with Applications | 2010 | 6 Pages |
Abstract
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 into 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, The lower and upper approximations in a fuzzy group, Inform. Sci. 90 (1996) 203–220] although some authors have showed 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.
Related Topics
Physical Sciences and Engineering
Computer Science
Computer Science (General)
Authors
Changzhong Wang, Degang Chen,