Abstract
The aim of this paper is to lay a foundation for providing a soft algebraic tool in considering many problems that contain uncertainties. In order to provide these soft algebraic structures, we introduce the concepts of soft union \(h\)-\(bi\)-ideals and soft union \(h\)-\(quasi\)-ideals of hemirings by means of soft-intersection–union sum and soft-intersection–union product. Some related properties are obtained. Finally, we investigate some characterizations of \(h\)-hemiregular and \(h\)-\(intra\)-hemiregular hemirings using some kinds of soft union \(h\)-ideals.
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