On bipolar soft points

Abstract

The importance of point concept in all sub-branches of mathematics cannot be ignored. The point concept is needed in the establishment and continuation of some theories. Therefore, it is essential to define the point concept in bipolar soft theory. In this paper, the concept of bipolar soft points is defined and the relationship between bipolar soft points and bipolar soft sets is considered. Moreover, we investigate some bipolar soft point sets, define neighborhoods of bipolar soft points and reveal the structure of bipolar soft topological spaces such as interior, closure, boundary and bases by using neighborhoods of bipolar soft points.