On algebraic and topological properties of Neighbourhood Based Multigranular Rough Sets

Abstract

Most of the researches in feature selection deal with homogeneous features that are with either numerical or categorical features. As discussed in [2] neighbourhood rough set model is one approach which deals with heterogeneous feature selection. The neighbourhood model is used to reduce numerical and categorical features by assigning different thresholds for different kinds of attributes. Recently Neighbourhood Based Multigranular Rough sets (NMGRS) was introduced and their properties were studied. We shall provide some critical appreciations of the results of this paper. One of the two characteristics used in real life applications of rough sets is their topological characterisations. In this article we study topological characteristics NMGRS. Some interesting algebraic properties of MGRSs were studied recently in [3]. We extend these studies to the NMGRS context. We shall also be illustrating the concepts a real life example.