Some Applications of Bipolar Soft Set: Characterizations of Two Isomorphic Hemi-Rings via BSI-h-Ideals

In this study, we intended to present insights into bipolar soft set in the union of two isomorphic hemi-rings. This concept provides a new soft algebraic tool in many uncertainties problems. We introduced BS-h-sum and BS-h-product of BS-sets. In particular, we discussed bipolar soft intersectional h-ideals in the union of two isomorphic hemi-rings. In addition, we characterized isomorphic h-hemi-regular hemi-rings using bipolar soft intersectional h-ideals.