Rough sets of multi-granulation with topological approaches based kinds
of neighborhood systems
Recently, much attention has been given to multi-granulation rough sets
(briefly, MGRS) and different kinds of multi-granulation rough set
models have been developed from various viewpoints. In this paper, we
propose two types of MGRS models under neighborhood systems from the
topological view, where a target concept is approximated by employing
the j-neighborhoods and j-adhesion neighborhoods of objects in a given
universe set. Therefore, we investigate some of the basic properties of
the two types of MGRS models and discuss the relationships and
differences among the classical MGRS model and some other new models.
Also, for each new MGRS model, an algorithm will be presented.