Applications of Soft Intersection Sets to Hemirings via SI-h-Bi-Ideals and SI-h-Quasi-Ideals

作者：Ma, Xueling^*; Zhan, Jianming; Davvaz, Bijan

来源：Filomat, 2016, 30(8): 2295-2313.

DOI：10.2298/FIL1608295M

• Soft set
• SI-h-ideal
• SI-h-bi-ideal
• SI-h-quasi-ideal
• (h-hemiregular, h-intra-hemiregular, h-quasi-hemiregular)
• Hemiring

The aim of this paper is to lay a foundation for providing a soft algebraic tool in considering many problems that contains uncertainties. In order to provide these soft algebraic structures, we introduce the concepts of SI-h-bi-ideals and SI-h-quasi-ideals of hemirings. The relationships between these kinds of soft intersection h-ideals are established. Finally, some characterizations of h-hemiregular, h-intra-hemiregular and h-quasi-hemiregular hemirings are investigated by these kinds of soft intersection h-ideals.

• 出版日期2016
• 单位湖北民族大学