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摘要
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 --ideals and soft union --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 -hemiregular and --hemiregular hemirings using some kinds of soft union -ideals.
