A Novel Method of the Generalized Interval-Valued Fuzzy Rough Approximation Operators
Joint Authors
Xue, Tianyu
Xue, Zhan’ao
Cheng, Huiru
Liu, Jie
Zhu, Tailong
Source
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-14, 14 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-08-04
Country of Publication
Egypt
No. of Pages
14
Main Subjects
Medicine
Information Technology and Computer Science
Abstract EN
Rough set theory is a suitable tool for dealing with the imprecision, uncertainty, incompleteness, and vagueness of knowledge.
In this paper, new lower and upper approximation operators for generalized fuzzy rough sets are constructed, and their definitions are expanded to the interval-valued environment.
Furthermore, the properties of this type of rough sets are analyzed.
These operators are shown to be equivalent to the generalized interval fuzzy rough approximation operators introduced by Dubois, which are determined by any interval-valued fuzzy binary relation expressed in a generalized approximation space.
Main properties of these operators are discussed under different interval-valued fuzzy binary relations, and the illustrative examples are given to demonstrate the main features of the proposed operators.
American Psychological Association (APA)
Xue, Tianyu& Xue, Zhan’ao& Cheng, Huiru& Liu, Jie& Zhu, Tailong. 2014. A Novel Method of the Generalized Interval-Valued Fuzzy Rough Approximation Operators. The Scientific World Journal،Vol. 2014, no. 2014, pp.1-14.
https://search.emarefa.net/detail/BIM-1051012
Modern Language Association (MLA)
Xue, Tianyu…[et al.]. A Novel Method of the Generalized Interval-Valued Fuzzy Rough Approximation Operators. The Scientific World Journal No. 2014 (2014), pp.1-14.
https://search.emarefa.net/detail/BIM-1051012
American Medical Association (AMA)
Xue, Tianyu& Xue, Zhan’ao& Cheng, Huiru& Liu, Jie& Zhu, Tailong. A Novel Method of the Generalized Interval-Valued Fuzzy Rough Approximation Operators. The Scientific World Journal. 2014. Vol. 2014, no. 2014, pp.1-14.
https://search.emarefa.net/detail/BIM-1051012
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1051012