Applications of soft intersection sets to hemirings via SI-h-bi-ideals and SI-h-quasi-ideals

The aim of this paper is to lay a foundation for providing  a soft algebraic tool in considering many problems that contains  uncertainties. In order to provide these soft algebraic structures,  we introduce the concepts of $SI$-$h$-bi-ideals and  $SI$-$h$-quasi-ideals of hemirings. The relationships between these kinds of  soft intersection $h$-ideals are established. Finally, some characterizations of  $h$-hemiregular, $h$-intra-hemiregular and $h$-quasi-hemiregular  hemirings are investigated by these kinds of soft intersection  $h$-ideals.

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