Abstract
AbstractThis paper focuses on generalization of rough set model. First a generalized definition of rough set approximations is proposed on general granular structure, so as to rough set models on some special granular structures are its special cases, these special granular structures include covering, knowledge space, topology space and Pawlak approximation space. Some basic notions are understood as counterparts in topology, and basic properties of new rough set approximations are investigated. Furthermore, with the defined lower and upper approximation operators, we can characterize the features of granular structures, and obtain positive and negative certainty decision rules.KeywordsRough setsGranular structuresKnowledge spaceTopology spaces
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