Reduction of Rough Set Based on Generalized Neighborhood System Operator
The theory of generalized neighborhood system based pproximation operators plays an important role in the theory of generalize d rough sets since it includes both the neighborhood based approximation operators and the covering based approximation operators as its special circumstances. The theory of reduction is one of the most significant directions in rough sets. In this work, the reduction of rough set based on generalized neighborhood system operator is defined and discussed. In particular, the conditions for two generalized neighborhood system operator to generate the same lower or upper approximation are provided.