On multi-granularity soft rough sets

In this paper, we present a possible fusion of rough sets and multiple soft sets. According to the theory of soft rough sets we propose the concepts of the multi-granularity soft rough sets (MGSR-sets) and multi-granularity soft approximation space. Based on these, we consider the multi-granularity soft rough approximation operators and discuss some important properties of them by some illustrative examples. Finally, the jointly full soft set and multi-granularity soft rough relations are also introduced.