Soft intersection hyperstructures: Application in Krasner hyperrings

摘要

In this paper first, we define the notions of left and right soft int-hypergroups and derive some of their basic properties. Second, we study these concepts in the context of complete hypergroups and polygroups. Then, we introduce the notions of left and right soft int-additive hyperrings and soft int-hyperideal. In special case we study these notions for the class of Krasner hyperrings. Finally, a characterization of soft int-hyperideal for the class of Krasner hyperfields is investigated.