Affiliations: [a] Department of Mathematics, Quaid-I-Azam University, Islamabad, Pakistan
| [b] Division of Science and Technology, University of Education, Lahore, Pakistan
| [c] Department of Mathematics and RINS, Gyeongsang National University, Jinju, Korea
| [d] Center for General Education, China Medical University, Taichung, Taiwan
Correspondence:
[*]
Corresponding author. Shin Min Kang. E-mail: [email protected].
Abstract: In recent years, theory of rough sets has grabbed attention of many researchers owed to its incredible role in the field of data analysis. In this paper, group homomorphism is used to develop a relationship between the lower and upper approximations of groups. Further, the lower and upper approximations of two quotient groups are connected using natural projection group homomorphism. This work provides its application in the field of information technology, where it can be used to connect two information systems.
Keywords: Rough sets, lower approximation, upper approximation, quotient groups, normal fuzzy subgroups, group homomorphisms
