Title :
Notice of Retraction
Fuzzy rough set model based on multi-granulations
Author :
Mingfen Wu ; Guangxue Kou
Author_Institution :
Inst. of Comput. Technol., Chinese Acad. of Sci., Beijing, China
Abstract :
Notice of Retraction
After careful and considered review of the content of this paper by a duly constituted expert committee, this paper has been found to be in violation of IEEE´s Publication Principles.
We hereby retract the content of this paper. Reasonable effort should be made to remove all past references to this paper.
The presenting author of this paper has the option to appeal this decision by contacting TPII@ieee.org.
This paper extends fuzzy rough set model based on single granulation to fuzzy rough set model based on multi-granulations, which is called as MGFRS. The lower and upper approximations of fuzzy sets are defined based multi-equivalence relations, and basic properties are investigated. It is shown that basic properties of fuzzy rough sets and MGRS model are special instance of MGFRS model. At the same time, the proofs of some properties of MGRS model are optimized and some mistakes are corrected. Finally, we propose an approximation measure of fuzzy sets based multi-granulations, and the approximation of a fuzzy set described using multi-granulations is always better than using single granulation.
Keywords :
fuzzy set theory; MGFRS; fuzzy rough set model; multi-equivalence relations; multigranulations; single granulation; Computers; Electronic mail; Entropy; Fuzzy set theory; Fuzzy sets; Information science; Machine learning; Pattern recognition; Rough sets; Set theory; MGFRS model; approximation measure; fuzzy rough set; knowledge base; multi-granulations;
Conference_Titel :
Computer Engineering and Technology (ICCET), 2010 2nd International Conference on
Conference_Location :
Chengdu
Print_ISBN :
978-1-4244-6347-3
DOI :
10.1109/ICCET.2010.5485316
