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| Dominancebased multigranulation rough fuzzy sets and acquisition of decision rules |
| 1.School of Computer Science and Technology, Nanjing University of Science and Technology, Nanjing, Jiangsu 210094, China； 2.Department of Electronic Information Engineering, Nanjing Communications Institute of Technology, Nanjing, Jiangsu 211188, China |
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Abstract To further generalize the multigranulation rough sets approach into fuzzy information system, the basic idea of multigranulation was introduced into the dominancebased rough fuzzy set to propose dominancebased optimistic and pessimistic multigranulation rough fuzzy sets. In the two multigranulation rough fuzzy sets, a family instead of a single dominance relation was used to approximate fuzzy other than crisp target. Not only the basic properties about the proposed rough fuzzy sets were discussed, but also the problem of “OR” rules induction was investigated. A fuzzy information system was analyzed to illustrate the new proposed rough set model and acquisition of decision rules. The results show that the multigranulation rough set approach can be further expanded to deal with fuzzy data by dominance relations, and results in expanding the application of multigranulation concept.
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2012, Vol. 33 
