Abstract
Let be a non-empty set and an equivalence relation on . Then, is called an approximation space. The equivalence relation on forms disjoint equivalence classes. If , then we can form a lower approximation and an upper approximation of . If X⊆U, then we can form a lower approximation and an upper approximation of X. In this research, rough group and rough subgroups are constructed in the approximation space for commutative and non-commutative binary operations.
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