Applications of Soft Intersection Set Theory to h-hemiregular and h-semisimple Hemirings

作者：Ma, Xueling^*; Zhan, Jianming

来源：Journal of Multiple-Valued Logic and Soft Computing, 2015, 25(1): 105-124.

• Soft set
• SI-hemiring
• SI-h-ideal
• SI-h-interior ideal
• h-hemiregular hemiring
• h-semisimple hemiring

The aim of this article 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 make a new approach to hemirings by means of soft intersection set theory, with the concepts of SI-hemirings, SI-h-ideals and SI-h-interior ideals. Finally, we investigate the characterizations of h-hemiregular and h-semisimple hemirings by these kinds of SI-h-ideals.

• 出版日期2015
• 单位湖北民族大学