DocumentCode
2620747
Title
Topological structures of rough sets over fuzzy lattices
Author
Liu, Guilong ; Qu, Delin ; Song, Rou
Author_Institution
Sch. of Inf. Sci., Beijing Language & Culture Univ., China
Volume
2
fYear
2005
fDate
25-27 July 2005
Firstpage
535
Abstract
A topological space can be described by using the closure operator. It is well known that there exists a close relationship between the closure operator and the upper approximation operator, that is, the upper approximation operators of rough set of the reflexive and transitive binary relation satisfy the Kuratowski closure axioms and vice versa. In this paper, we discuss generalizations of rough set approximation operators in fuzzy lattices, and show that there exists a similar relation between the closure operator and the upper approximation operator in fuzzy lattices.
Keywords
fuzzy set theory; rough set theory; topology; Kuratowski closure axiom; closure operator; fuzzy lattice; reflexive binary relation; rough set approximation operator; topological space; topological structure; transitive binary relation; Fuzzy set theory; Fuzzy sets; Lattices; Rough sets;
fLanguage
English
Publisher
ieee
Conference_Titel
Granular Computing, 2005 IEEE International Conference on
Print_ISBN
0-7803-9017-2
Type
conf
DOI
10.1109/GRC.2005.1547349
Filename
1547349
Link To Document