A novel soft rough set: Soft rough hemirings and corresponding multicriteria group decision making
Document Type
Article
Publication Date
1-1-2017
Abstract
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.
Keywords
Rough set, Soft rough set, MSR-hemiring, Decision making
Divisions
fsktm
Funders
National Natural Science Foundation of China (11561023)
Publication Title
Applied Soft Computing
Volume
54
Publisher
Elsevier