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中文摘要：
从粒计算的角度，经典的粗糙集是建立在单一的粒（等价关系）上的，把它推广到建立在优势关系上的多粒度粗糙集，定义了多粒度下的上下近似。通过对经典粗糙集的比较，得到了二粒度和多粒度下粗糙集的一些性质和结论。并在二粒度和多粒度下，对粗糙集里的边界、近似精度、优势度和综合优势度进行了研究。通过地震数据的例子说明了单粒度和多粒度之间的差异。
英文摘要：
The classical rough set is based on single granulation（equivalence relation）from the perspective of granu- lar computing, It is extended to the multi-granulation rough set based on dominance relation, and the approximate upper and lower are defined. By comparison of the classical rough set, more properties and conclusions based on two-granulation and multi-granulation are got. And the boundary, approximate accuracy, dominance measure, gener- al dominance measure in rough set are studied. Some examples of seismic data are given to illustrate the differences between single-granulation and multi-granulation.
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