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This paper presents two kinds of rough set approximation definition based on neighborhood system, comparison of some kinds of approximation, and analysis of their related properties. Adopting Pawlak's method to measure the accuracy in three approximation definitions, that is, Lin's definition and two definitions presented in this paper. The conclusion is that the first approximation definition presented...
Tolerance relations are more generic than equivalence relations from viewpoint of Granular Computing. But it cannot to be used to divide a set directly. Based on neighborhood system of tolerance relation, we can get the induced partition. We propose the extended information table of tolerance rough sets. An example is given to illustrate the continuity of named quotient spaces, so the information...
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