Soft intersection Boolean near-rings with its applications

We begin by defining Soft intersection near ring (SINR) using set intersection in this paper. Because it demonstrates how a Soft set affects a Boolean near ring (BNR) structure via set intersection and inclusion.“This new concept can be thought of as a link between set theory, soft set theory, and also near-ring theory. Using illustrative examples, the basic properties are then deduced”. In addition, we obtain some Soft int Boolean near ring (SIBNR) analogues of classical BNR theoretic concepts and show how to apply SIBNR to BNR theory.