Some Applications of Bipolar Soft Set: Characterizations of Two Isomorphic Hemi-Rings via BSI-h-Ideals
Khizar Hayat *
Department of Mathematics and Statistics, International Islamic University, H-10, Islamabad, Pakistan.
Tahir Mahmood
Department of Mathematics and Statistics, International Islamic University, H-10, Islamabad, Pakistan.
*Author to whom correspondence should be addressed.
Abstract
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.
Keywords: Hemi-rings, BS-h-sum, BS-h-product, bipolar soft intersectional hemi-rings, bipolar soft intersectional h-ideals, h-hemi-regular hemi-rings.