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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 $$h$$ h - $$bi$$ b i -ideals and soft union $$h$$ h - $$quasi$$ q u a s i -ideals of hemirings by means of soft-intersection–union sum...
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