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On Characterization of Rough Type-2 Fuzzy Sets
Joint Authors
Source
Mathematical Problems in Engineering
Issue
Vol. 2016, Issue 2016 (31 Dec. 2016), pp.1-13, 13 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2016-02-02
Country of Publication
Egypt
No. of Pages
13
Main Subjects
Abstract EN
Rough sets theory and fuzzy sets theory are important mathematical tools to deal with uncertainties.
Rough fuzzy sets and fuzzy rough sets as generalizations of rough sets have been introduced.
Type-2 fuzzy set provides additional degree of freedom, which makes it possible to directly handle high uncertainties.
In this paper, the rough type-2 fuzzy set model is proposed by combining the rough set theory with the type-2 fuzzy set theory.
The rough type-2 fuzzy approximation operators induced from the Pawlak approximation space are defined.
The rough approximations of a type-2 fuzzy set in the generalized Pawlak approximation space are also introduced.
Some basic properties of the rough type-2 fuzzy approximation operators and the generalized rough type-2 fuzzy approximation operators are discussed.
The connections between special crisp binary relations and generalized rough type-2 fuzzy approximation operators are further examined.
The axiomatic characterization of generalized rough type-2 fuzzy approximation operators is also presented.
Finally, the attribute reduction of type-2 fuzzy information systems is investigated.
American Psychological Association (APA)
Zhao, Tao& Wei, Zhenbo. 2016. On Characterization of Rough Type-2 Fuzzy Sets. Mathematical Problems in Engineering،Vol. 2016, no. 2016, pp.1-13.
https://search.emarefa.net/detail/BIM-1112225
Modern Language Association (MLA)
Zhao, Tao& Wei, Zhenbo. On Characterization of Rough Type-2 Fuzzy Sets. Mathematical Problems in Engineering No. 2016 (2016), pp.1-13.
https://search.emarefa.net/detail/BIM-1112225
American Medical Association (AMA)
Zhao, Tao& Wei, Zhenbo. On Characterization of Rough Type-2 Fuzzy Sets. Mathematical Problems in Engineering. 2016. Vol. 2016, no. 2016, pp.1-13.
https://search.emarefa.net/detail/BIM-1112225
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1112225