DocumentCode
507264
Title
Topological Spaces for Fuzzy Rough Sets Determined by Fuzzy Implication Operators
Author
Wu, Wei-Zhi ; Lin, Peirong
Author_Institution
Sch. of Math., Phys. & Inf. Sci., Zhejiang Ocean Univ., Zhoushan, China
Volume
6
fYear
2009
fDate
14-16 Aug. 2009
Firstpage
479
Lastpage
483
Abstract
In this paper, a dual pair of lower and upper fuzzy rough approximation operators determined by a fuzzy implication operator are defined and their properties are presented. Topological structures of fuzzy rough sets are then investigated. It is shown that the lower and upper fuzzy rough approximation operators are, respectively, an interior operator and a closure operator in a fuzzy topological space if and only if the fuzzy binary relation is reflexive and transitive.
Keywords
fuzzy set theory; rough set theory; closure operator; fuzzy binary relation; fuzzy implication operators; fuzzy rough approximation operators; fuzzy rough sets; interior operator; topological spaces; Boundary conditions; Fuzzy set theory; Fuzzy sets; Fuzzy systems; Information science; Mathematics; Oceans; Physics; Rough sets; Set theory; fuzzy implication operators; fuzzy rough sets; rough sets; topological spaces;
fLanguage
English
Publisher
ieee
Conference_Titel
Fuzzy Systems and Knowledge Discovery, 2009. FSKD '09. Sixth International Conference on
Conference_Location
Tianjin
Print_ISBN
978-0-7695-3735-1
Type
conf
DOI
10.1109/FSKD.2009.375
Filename
5359898
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