Near polygroups on nearness approximation spaces

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 to define the near polygroup of all weak cosets by considering an hyperoperation on the set of all weak cosets. Afterwards, our aim is to study near homomorphism theorems on near polygroups, and investigate some characterizations of near polygroups.