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The rough set theory (RST) can deal with the approximations of an arbitrary subset of a universe by two definable subsets called, respectively, the lower and the upper approximations. Probabilistic rough sets (PRS) model is an extension of RST. In this paper, we propose a new matrix view of PRS and give the matrix representation of the lower and upper approximations of PRS. According to this matrix...
This paper introduces the concepts of attributes coarsening and refining in dominance based rough sets (DBRS), and analyzes the basic knowledge granules' variation while condition attributes' coarsening and refining happen. Incremental approaches are proposed for dynamically maintaining the knowledge in dynamic decision systems with respect to condition attributes' coarsening and refining. Examples...
The description of an information system will be more accurate when objects and attributes are added to it. The approximations of a concept may change when an information system varies. No research work has been done yet on incremental updating for approximations when objects and attributes change simultaneously. In traditional rough set theory, granules are induced by equivalence classes. The granularity...
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