A new approach to the axiomatization of rough sets
Xiaonan Li, Sanyang Liu · 2010 Seventh International Conference on Fuzzy Systems and Knowledge Discovery · 2010
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.