On Some Developments in Positively Bipolar Soft Groups

Abstract

In this work, we define the concepts of positively bipolar left and right cosets and examine their fundamental properties and structures. Additionally, we define quotient bipolar soft groups. In addition, we also define positively maximal normal bipolar soft groups and the notions of positively simple bipolar soft groups. Moreover, we establish the definitions of positively solvable bipolar soft groups, and we prove several important results.