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

[Display omitted] 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...

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Bibliographic Details
Published inApplied soft computing Vol. 54; pp. 393 - 402
Main Authors Zhan, Jianming, Liu, Qi, Herawan, Tutut
Format Journal Article
LanguageEnglish
Published Elsevier B.V 01.05.2017
Subjects
Decision making
MSR-hemiring
Rough set
Soft rough set
16Y60
13E05
Soft rough set
MSR-hemiring
Decision making
03G25
Rough set
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Summary:[Display omitted] 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.
ISSN:1568-4946
1872-9681
DOI:10.1016/j.asoc.2016.09.012