Generalization Rough Set Theory |
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Authors: | XIAO Di ZHANG Jun-feng HU Shou-song |
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Affiliation: | 1. College of Automation, Nanjing University of Technology, Nanjing 210009 , China 2. College of Automation, Nanjing University of Aeronautics and Astronautics, Nanjing 210016,China |
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Abstract: | In order to avoid the discretization in the classical rough set theory, a generlization rough set theory is proposed. At first, the degree of general importance of an attribute and attribute subsets are presented. Then, depending on the degree of general importance of attribute, the space distance can be measured with weighted method. At last, a generalization rough set theory based on the general near neighborhood relation is proposed. The proposed theory partitions the universe into the tolerant modules, and forms lower approximation and upper approximation of the set under general near neighborhood relationship, which avoids the discretization in Pawlak's rough set theory. |
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Keywords: | generalization rough set theory the degree of general importance general near neighborhood relation |
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