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Bitopological approximation space with application to data reduction in multi-valued information systems

Salama A.S. (Department of Mathematics, Faculty of Science, Tanta University, Egypt)

We presented bitopological approximation space as a generalization of classical approximation space. This generalization is based on a topological space that have a subbases generated by a family of binary relations defined on the universe of discourse. We studied some properties of rough sets on bitopological approximation spaces. 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.

Keywords: rough sets, rough approximations, right neighborhood, accuracy measure, topological spaces