Bitopological Approximation Space with Application to Data Reduction in Multi-valued Information Systems

Abstract

We presented bitopological approximation space as a generalization of classical approximation space. This  generalization is based on a topological spaces that have a subbases generated by a family of binary relations defined on the universe of discourse. We studied some properties of of rough sets on bitopological. Many new membership functions and inclusion functions are defined and are used for redefining the rough approximations. Finally, some real life application examples are given to illustrate the benefit of our approach.