A novel soft rough set: Soft rough hemirings and corresponding multicriteria group decision making

作者：Zhan, Jianming^*; Liu, Qi; Herawan, Tutut

来源：Applied Soft Computing, 2017, 54: 393-402.

DOI：10.1016/j.asoc.2016.09.012

• Rough set
• Soft rough set
• MSR-hemiring
• Decision making

In this paper, we investigate the relationships among rough sets, soft sets and hemirings. The concept of soft rough hemirings is introduced, which is an extended notion of a rough hemiring. It is pointed out that in this paper, we first apply soft rough sets to algebraic structure-hemirings. Further, we first put forward the concepts of C-soft sets and CC-soft sets, which provide a new research idea for soft rough algebraic research. Moreover, we study roughness in hemirings with respect to MSR-approximation spaces. Some new soft rough operations over hemirings are explored. In particular, lower and upper MSR-hemirings (k-ideal and h-ideal) are investigated. Finally, we put forth an approach for multicriteria group decision making problem based on modified soft rough sets and offer an actual example.

• 出版日期2017-5
• 单位湖北民族大学