Further Study of Multigranulation T -Fuzzy Rough Sets
Joint Authors
Zhang, Xiaoyan
Li, Wentao
Sun, Wenxin
Source
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-18, 18 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-08-17
Country of Publication
Egypt
No. of Pages
18
Main Subjects
Medicine
Information Technology and Computer Science
Abstract EN
The optimistic multigranulation T -fuzzy rough set model was established based on multiple granulations under T -fuzzy approximation space by Xu et al., 2012.
From the reference, a natural idea is to consider pessimistic multigranulation model in T -fuzzy approximation space.
So, in this paper, the main objective is to make further studies according to Xu et al., 2012.
The optimistic multigranulation T -fuzzy rough set model is improved deeply by investigating some further properties.
And a complete multigranulation T -fuzzy rough set model is constituted by addressing the pessimistic multigranulation T -fuzzy rough set.
The full important properties of multigranulation T -fuzzy lower and upper approximation operators are also presented.
Moreover, relationships between multigranulation and classical T -fuzzy rough sets have been studied carefully.
From the relationships, we can find that the T -fuzzy rough set model is a special instance of the two new types of models.
In order to interpret and illustrate optimistic and pessimistic multigranulation T -fuzzy rough set models, a case is considered, which is helpful for applying these theories to practicalissues.
American Psychological Association (APA)
Li, Wentao& Zhang, Xiaoyan& Sun, Wenxin. 2014. Further Study of Multigranulation T -Fuzzy Rough Sets. The Scientific World Journal،Vol. 2014, no. 2014, pp.1-18.
https://search.emarefa.net/detail/BIM-1051632
Modern Language Association (MLA)
Li, Wentao…[et al.]. Further Study of Multigranulation T -Fuzzy Rough Sets. The Scientific World Journal No. 2014 (2014), pp.1-18.
https://search.emarefa.net/detail/BIM-1051632
American Medical Association (AMA)
Li, Wentao& Zhang, Xiaoyan& Sun, Wenxin. Further Study of Multigranulation T -Fuzzy Rough Sets. The Scientific World Journal. 2014. Vol. 2014, no. 2014, pp.1-18.
https://search.emarefa.net/detail/BIM-1051632
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1051632