DocumentCode
2245460
Title
Roughness of fuzzy sets based on two new operators
Author
Liang, Hongli ; Zhang, Huaguang ; Liu, Derong
Author_Institution
Sch. of Inf. Sci. & Eng., Northeastern Univ., Shenyang, China
Volume
2
fYear
2004
fDate
25-29 July 2004
Firstpage
583
Abstract
In this paper, two new operators are introduced for the rough set theory. Using them, two inequalities well-known in the rough set theory can now be modified to become equalities. With this change, no information may be lost in the new expressions. Hence, many properties in the rough set theory can be improved and in particular, the union, the intersection, and the complement operations can be redefined based on the two equalities. Finally, the roughness properties of fuzzy sets are analyzed using the new operations.
Keywords
fuzzy set theory; mathematical operators; rough set theory; complement operation; fuzzy set roughness properties; fuzzy set theory; fuzzy systems; intersection operation; mathematical operators; rough set theory; union operation; Fuzzy set theory; Fuzzy sets; Humans; Information science; Knowledge representation; Machine learning; Mathematical analysis; Mathematical model; 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.2004.1375461
Filename
1375461
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