13 March 2013 On two dominance-based multigranulation rough sets
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Abstract
How to expand the rough set model in incomplete information systems play a crucial role in the development of the rough set theory. In this paper, by considering the perferenc-ordered domains of the attribtues, the expanded dominance relation and the limited dominance relation are employed to construct multigranulation rough sets, respectively. Different from the traditional dominance relation based rough sets, these multigranulation rough sets use a family of the dominance relations instead of a single one for the target approximation. Not only the basic properties about these dominance-based multigranulation rough sets are proved, but also the relationships among several rough sets are discussed.
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Yongjian Zhai, Hong Zhang, "On two dominance-based multigranulation rough sets", Proc. SPIE 8784, Fifth International Conference on Machine Vision (ICMV 2012): Algorithms, Pattern Recognition, and Basic Technologies, 87842N (13 March 2013); doi: 10.1117/12.2021232; https://doi.org/10.1117/12.2021232
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