DocumentCode
2251881
Title
An algebraic characterisation of fuzzy rough sets
Author
Radzikowska, Anna Maria ; Kerre, Etieniie E.
Author_Institution
Syst. Res. Inst., Polish Acad. of Sci., Warsaw, Poland
Volume
1
fYear
2004
fDate
25-29 July 2004
Firstpage
109
Abstract
We present an algebraic approach to fuzzy generalisation of rough sets. We take an arbitrary residuated lattice L as a basic algebraic structure. The L-fuzzy rough sets are defined using the product operator and its residuum provided by the residuated lattice L. Depending on classes of binary fuzzy relations, we define several classes of L-fuzzy rough sets and show properties of these structures.
Keywords
algebra; fuzzy set theory; rough set theory; algebraic characterisation; binary fuzzy relations; fuzzy rough sets; Algebra; Computer science; Data analysis; Fuzzy logic; Fuzzy set theory; Fuzzy sets; Lattices; Mathematics; Rough sets; Set theory;
fLanguage
English
Publisher
ieee
Conference_Titel
Fuzzy Systems, 2004. Proceedings. 2004 IEEE International Conference on
ISSN
1098-7584
Print_ISBN
0-7803-8353-2
Type
conf
DOI
10.1109/FUZZY.2004.1375698
Filename
1375698
Link To Document