Approximation Space on Novel Granulations

Author

Mathematics Department, Faculty of Science, Assiut University, 71516 Assiut, Egypt

Abstract

Granulation of a universe involves grouping of similar elements into granules. With
granulated views, we deal with approximations of concepts, represented by subsets of the universe,
in terms of granules. This paper examines the problem of approximations with respect to various
granulations of the universe. The granulation structures used by rough set theory, neighborhood
systems and topological space and the corresponding approximation structures, are studied.