A completely new approach for the theory of Soft Groups and Soft Rings

Abstract

A new soft group definition is given by Ghosh and Samanta by using the definition of soft element which is introduced by Wardowski. In this paper we study on binary operation on a soft set by using the soft element definition. Considering this binary operation which is the generalization of the soft group definition of Ghosh and Samanta we gave the notions such as soft groupoid, soft group, soft ring and some related results are obtained.