Open Science Research Excellence

Shiping Wang

Publications

1

Publications

1
13163
Structure of Covering-based Rough Sets
Abstract:

Rough set theory is a very effective tool to deal with granularity and vagueness in information systems. Covering-based rough set theory is an extension of classical rough set theory. In this paper, firstly we present the characteristics of the reducible element and the minimal description covering-based rough sets through downsets. Then we establish lattices and topological spaces in coveringbased rough sets through down-sets and up-sets. In this way, one can investigate covering-based rough sets from algebraic and topological points of view.

Keywords:
Covering, poset, down-set, lattice, topological space, topological base.