Title :
Axiomatic characterizations of rough sets
Author :
Xiaonan Li ; Huangjian Yi
Author_Institution :
Dept. of Math., Xidian Univ., Xi´an, China
Abstract :
The paper studies the axiomatization of rough sets. Pawlak matroids are characterized in terms of rank functions and connections between matchings in bipartites and Pawlak matroids are pointed out. Using topological approaches, the Pawlak upper approximation operator is characterized by one condition. Additionally, a possible generalization of Pawlak rough sets based on coverings is pointed out.
Keywords :
approximation theory; combinatorial mathematics; rough set theory; topology; Pawlak matroids; Pawlak upper approximation; axiomatic characterizations; bipartites; generalization; rank functions; rough sets; topological approaches; Approximation methods; Bipartite graph; Computer science; Educational institutions; Rough sets; Topology;
Conference_Titel :
Fuzzy Systems and Knowledge Discovery (FSKD), 2011 Eighth International Conference on
Conference_Location :
Shanghai
Print_ISBN :
978-1-61284-180-9
DOI :
10.1109/FSKD.2011.6019831
