Title :
Fuzzy rough sets determined by fuzzy implication operators
Author_Institution :
Sch. of Math., Phys. & Inf. Sci., Zhejiang Ocean Univ., Zhoushan, China
Abstract :
In this paper, determined by a fuzzy implication operator, a general type of dual pair of lower and upper fuzzy rough approximation operators induced by a fuzzy approximation space is first introduced. Properties of the approximation operators are then examined. Finally, it is proved that the class of all definable sets induced from a serial fuzzy approximation space forms a fuzzy sigma-algebra.
Keywords :
fuzzy set theory; mathematical operators; rough set theory; approximation operator; fuzzy implication operator; fuzzy rough set; fuzzy sigma-algebra; serial fuzzy approximation space; Boundary conditions; Fuzzy logic; Fuzzy set theory; Fuzzy sets; Fuzzy systems; Mathematics; Physics; Rough sets; Set theory; Uncertainty;
Conference_Titel :
Granular Computing, 2009, GRC '09. IEEE International Conference on
Conference_Location :
Nanchang
Print_ISBN :
978-1-4244-4830-2
DOI :
10.1109/GRC.2009.5255055
