Certain types of coverings based rough sets with application
Ashraf S. Nawar, Mostafa K. El-Bably, Abd El Fattah El Atik
Abstract
Covering-based rough sets are important generalizations of the classical rough sets of Pawlak. In this paper, by means of j -neighborhoods, complementary j -neighborhoods and j -adhesions, we build some new different types of j -covering approximations based rough sets and study related properties. Also, we explore the relationships between the considered j -covering approximations and investigate the properties of them. Using different neighborhoods, some different general topologies are generated as topologies induced from a binary relation. Finally, an interesting application of the new types of covering-based rough sets to the rheumatic fever is given.
Topics & Concepts
Rough setRelation (database)Binary relationMathematicsNetwork topologyBinary numberComputer scienceData miningDiscrete mathematicsArithmeticOperating systemRough Sets and Fuzzy LogicImage Processing and 3D Reconstruction