Rough sets, a tool for data mining, deal with the vagueness and granularity in information systems. Approximating of functions specified by imperfect knowledge is one of the central issues in many areas. The rough function is presented by Pawlak, and has been applied to rough controls. However, the function is only a special case of mapping. In this paper the concept of rough function is generalized to rough mapping and various set theoretic properties are exploited to characterize the rough mappings. In order to explain the idea of rough mapping, the two examples, rough functions and rough fuzzy sets are mentioned. Finally, the rough integrals are proposed as an possible applications of the rough mappings.
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