Title :
A new approach to the axiomatization of rough sets
Author :
Li, Xiaonan ; Liu, Sanyang
Author_Institution :
Dept. of Math., Xidian Univ., Xi´´an, China
Abstract :
The paper studies the axiomatization of rough sets with a new approach, that is, the matroidal approach. First, Pawlak matroids are introduced. Properties of Pawlak matroids are studied. Then three sets of axioms of the Pawlak upper approximation operator are proposed from a matroidal point of view. Additionally, a possible generalization of Pawlak rough sets based on coverings is pointed out.
Keywords :
combinatorial mathematics; rough set theory; Pawlak matroids; Pawlak upper approximation operator; matroidal approach; rough sets axiomatization; Approximation methods; Bipartite graph; Computer science; Fuzzy sets; Lattices; Rough sets;
Conference_Titel :
Fuzzy Systems and Knowledge Discovery (FSKD), 2010 Seventh International Conference on
Conference_Location :
Yantai, Shandong
Print_ISBN :
978-1-4244-5931-5
DOI :
10.1109/FSKD.2010.5569464
