TY - GEN
T1 - Interpolative reasoning approach to sparse general type-2 fuzzy rules based on the reduced grid representation
AU - Ngo, Long Thanh
AU - Vu, Minh Ngoc
AU - Hirota, Kaoru
N1 - Publisher Copyright:
© 2013 IEEE.
PY - 2013
Y1 - 2013
N2 - Interpolative reasoning is one of the most interested problems with various approaches for type-1 fuzzy sets, interval type-2 fuzzy sets, recently. However, the related methods have not mentioned general type-2 fuzzy sets yet because of their computational complexity. The paper deals with an approach to representation theorem of general type-2 fuzzy sets using the reduced grid. A computational schema for interpolative reasoning of sparse general type-2 fuzzy rules is also introduced. This schema is not depended on the shape of membership functions. Beside, the parallelizing schema for GPU platform is proposed to speedup the algorithms. The proposed methods are implemented on both of GPU and CPU platforms with various membership functions.
AB - Interpolative reasoning is one of the most interested problems with various approaches for type-1 fuzzy sets, interval type-2 fuzzy sets, recently. However, the related methods have not mentioned general type-2 fuzzy sets yet because of their computational complexity. The paper deals with an approach to representation theorem of general type-2 fuzzy sets using the reduced grid. A computational schema for interpolative reasoning of sparse general type-2 fuzzy rules is also introduced. This schema is not depended on the shape of membership functions. Beside, the parallelizing schema for GPU platform is proposed to speedup the algorithms. The proposed methods are implemented on both of GPU and CPU platforms with various membership functions.
KW - GPU parallel computing
KW - Interpolative reasoning
KW - general type-2 fuzzy sets
KW - sparse fuzzy rule
UR - http://www.scopus.com/inward/record.url?scp=84949925330&partnerID=8YFLogxK
U2 - 10.1109/SOCPAR.2013.7054104
DO - 10.1109/SOCPAR.2013.7054104
M3 - Conference contribution
AN - SCOPUS:84949925330
T3 - 2013 International Conference on Soft Computing and Pattern Recognition, SoCPaR 2013
SP - 72
EP - 78
BT - 2013 International Conference on Soft Computing and Pattern Recognition, SoCPaR 2013
PB - Institute of Electrical and Electronics Engineers Inc.
T2 - 2013 International Conference on Soft Computing and Pattern Recognition, SoCPaR 2013
Y2 - 15 December 2013 through 18 December 2013
ER -