Soft Rough Approximation Operators and Related Results
Joint Authors
Cai, Zhangyong
Li, Zhaowen
Qin, Bin
Source
Journal of Applied Mathematics
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-15, 15 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-03-26
Country of Publication
Egypt
No. of Pages
15
Main Subjects
Abstract EN
Soft set theory is a newly emerging tool to deal with uncertain problems.
Based on soft sets, soft rough approximation operators are introduced, and soft rough sets are defined by using soft rough approximation operators.
Soft rough sets, which could provide a better approximation than rough sets do, can be seen as a generalized rough set model.
This paper is devoted to investigating soft rough approximation operations and relationships among soft sets, soft rough sets, and topologies.
We consider four pairs of soft rough approximation operators and give their properties.
Four sorts of soft rough sets are investigated, and their related properties are given.
We show that Pawlak's rough set model can be viewed as a special case of soft rough sets, obtain the structure of soft rough sets, give the structure of topologies induced by a soft set, and reveal that every topological space on the initial universe is a soft approximating space.
American Psychological Association (APA)
Li, Zhaowen& Qin, Bin& Cai, Zhangyong. 2013. Soft Rough Approximation Operators and Related Results. Journal of Applied Mathematics،Vol. 2013, no. 2013, pp.1-15.
https://search.emarefa.net/detail/BIM-456635
Modern Language Association (MLA)
Li, Zhaowen…[et al.]. Soft Rough Approximation Operators and Related Results. Journal of Applied Mathematics No. 2013 (2013), pp.1-15.
https://search.emarefa.net/detail/BIM-456635
American Medical Association (AMA)
Li, Zhaowen& Qin, Bin& Cai, Zhangyong. Soft Rough Approximation Operators and Related Results. Journal of Applied Mathematics. 2013. Vol. 2013, no. 2013, pp.1-15.
https://search.emarefa.net/detail/BIM-456635
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-456635