On Granular Computing Visa Covering: New Definition and Related Covering Rough Set

Guopeng Wang, Lingqiang Li
2014 Journal of Mathematics and Informatics   unpublished
The Zoom-in and Zoom-out operators play an important role in the model of Granular Computing based on covering. In this paper, a new Zoom-in operator is defined, the combination operators formed by the Zoom-in and Zoom-out operators on the (granulated) universe of discourse are presented, and their relationships to covering rough set, topological space and Galois connection are discussed. In particular, it is proved that a pair of approximation operators on the universe of discourse obtained by
more » ... scourse obtained by the combination of the Zoom-in operator and Zoom-out operator, are precisely the second type of covering-based lower and upper approximation operators.