Title :
Uncertainty in generalized fuzzy rough sets
Author :
Mi, Ju-Sheng ; Guo, Zeng-Xiao ; Feng, Tao ; Zhao, Hui-Yin
Author_Institution :
Coll. of Math. & Inf. Sci., Hebei Normal Univ., China
Abstract :
This paper studies the generalized fuzzy approximation spaces determined by a triangular norm. The entropy of a fuzzy approximation space is introduced, which is similar to Shannon´s entropy. To measure uncertainty in generalized fuzzy rough sets, a notion of fuzziness is introduced. Some basic properties of this measure are examined.
Keywords :
entropy; fuzzy set theory; rough set theory; uncertainty handling; Shannon entropy; generalized fuzzy approximation spaces; generalized fuzzy rough sets; triangular norm; uncertainty measure; Educational institutions; Entropy; Fuzzy logic; Fuzzy sets; Information science; Mathematics; Measurement uncertainty; Rough sets; Set theory; Fuzzy set; Rough set; triangular norm; uncertainty;
Conference_Titel :
Granular Computing, 2005 IEEE International Conference on
Print_ISBN :
0-7803-9017-2
DOI :
10.1109/GRC.2005.1547269
