### Applications of soft intersection sets to -hemirings

#### Abstract

In this paper, based on the results of soft sets and intersection operations of sets, we introduce a new kind of soft G-hemirings, which is called soft intersection G-hemirings. The main contribution of this paper is to give the concepts of SI-h-ideals (SI-h-interior ideals) and describe some characterizations of h-hemiregular and h-semisimple G-hemirings by means of SI-h-ideals and SI-h-interior ideals.

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