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Research Article Open access CC BY 4.0

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

Khizar Hayat, Tahir Mahmood

Journal of Advances in Mathematics and Computer Science · pp. 1–21 · Published 28 Nov 2015

10.9734/BJMCS/2016/22028

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.

Hemi-rings BS-h-sum BS-h-product bipolar soft intersectional hemi-rings bipolar soft intersectional h-ideals h-hemi-regular hemi-rings.

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