Applications of Soft Intersection Sets in Hypernear Rings

Abstract

In this paper, we introduce soft intersection hypernear-ring and shows how a soft set effects on a hypernear-ring structure by means of intersection and insertion of sets. Further, we explore some properties using hypernear-ring theoretic concepts for soft sets. Moreover, we have defined the cross product of two soft intersection hypernear-rings. We proved that the cross product of two soft intersection hypernear-rings is a soft intersection hypernear-ring and the cross product of two soft intersection hyperideals is a soft intersection hyperideal.