Applications of a new soft set to h-hemiregular hemirings via (M, N)-SI-h-ideals

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 M,N-SI-hemirings M,N-SI-h-ideals of hemirings, which are generalizations of SI-hemirings SI-h-ideals. By soft union-intersection sums products, some related properties are discussed. Special attention is paid to quotient soft hemirings. Finally, we investigate some characterizations of h-hemiregular hemirings by means of M,N-SI-h-ideals.

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