Affiliations: Department of Mathematics, Faculty of Arts and Sciences, Adıyaman University, Adıyaman, Turkey. maozturk@adiyaman.edu.tr
Note: [] The authors are grateful for financial support from the Research Fund of Adiyaman University under grant no: FBEBAP2013/0002. Address for correspondence: Dept. of Mathematics, Faculty of Arts and Sciences, Adıyaman University, Adıyaman, Turkey
Abstract: In this paper, we consider the problem of how to establish algebraic structures of near sets on nearness approximation spaces. Essentially, our approach is define the near group of all weak cosets by considering an operation on the set of all weak cosets. Afterwards, our aim is to study near homomorphism theorems on near groups, and investigate some properties of near groups.
Keywords: Near set, near group, weak coset, near homomorphism
