Title :
On the reduction of fuzzy rough sets
Author :
Wang, Xi-Zhao ; Ha, Yan ; Chen, De-gang
Author_Institution :
Dept. of Math. & Comput. Sci., Hebei Univ., Baoding, China
Abstract :
Fuzzy rough set is a generalization of Pawlak rough set to deal with both fuzziness and vagueness. The existing approaches to fuzzy rough set pay more attention to the construction of approximation operators rather than the attributes reduction of the fuzzy rough set. This paper defines a fuzzy information system and investigates its reductions. Some fundamental properties of the system are discussed. An algorithm based on the discernibility matrix to compute all the attributes reductions for fuzzy information systems is developed as well.
Keywords :
fuzzy set theory; matrix algebra; rough set theory; approximation operator; attribute reduction; discernibility matrix; fuzzy information system; fuzzy rough set; vagueness; Computer science; Fuzzy set theory; Fuzzy sets; Fuzzy systems; Information systems; Mathematics; Physics; Rough sets; Set theory; Uncertainty; Attributes reduction; Fuzzy rough set; Fuzzy set; Rough set;
Conference_Titel :
Machine Learning and Cybernetics, 2005. Proceedings of 2005 International Conference on
Conference_Location :
Guangzhou, China
Print_ISBN :
0-7803-9091-1
DOI :
10.1109/ICMLC.2005.1527489
