Title :
On strong Pawlak algebras
Author :
Mingfen Wu ; Xiangyun, Wu ; Cao, Xie Cungen
Author_Institution :
Sch. of Inf. Sci., Wuyi Univ., Jiangmen, China
Abstract :
The rough top equality between subsets of a finite set was introduced by Novotny and Pawlak. Liu extended Pawlak rough set algebra to lattice form, called Pawlak algebra. In this paper, Strong Pawlak algebra which is more similar to Pawlak rough set algebra is introduced. Furthermore, Characterizations of strong Pawlak algebra by a complete subalgebra of a fuzzy lattice are obtained. The top equality on a fuzzy lattice L is also characterized, which is a generalization of the top equality on Pawlak rough set algebra.
Keywords :
algebra; fuzzy set theory; rough set theory; extended Pawlak rough set algebra; finite set; fuzzy lattice; lattice form; strong Pawlak algebras; Algebra; Cybernetics; Machine learning; Pawlak algebra; Pawlak rough set algebra; Rough set; strong Pawlak algebra; top equality;
Conference_Titel :
Machine Learning and Cybernetics, 2009 International Conference on
Conference_Location :
Baoding
Print_ISBN :
978-1-4244-3702-3
Electronic_ISBN :
978-1-4244-3703-0
DOI :
10.1109/ICMLC.2009.5212261
