Calculation Analysis and Attribute Reduction for Double-Quantitative Rough Set Model Based on Logical OR
ZHANG Xian-Yong1,2,3, MIAO Duo-Qian2,3
1.College of Mathematics and Software Science, Sichuan Normal University, Chengdu 610068 2.Department of Computer Science and Technology, Tongji University, Shanghai 201804 3.Key Laboratory of Embedded System and Service Computing, Ministry of Education, Tongji University, Shanghai 201804
Abstract Double quantification has a fundamental function for completely describing approximate space in rough set, and the rough set model based on logical OR of precision and grade is a basic extended model with double quantification. Aiming at this model, calculation analysis is mainly conducted, and attribute reduction in approximate space is further explored. Based on both basic structures and calculation formulas of model regions, macroscopic algorithm and structural algorithm are constructed. The analysis and comparison results show that the structural algorithm has more advantages in calculation complexity. Based on approximate space, basic properties on four-region preservation are discussed, and attribute reduction with the region preservation criterion is proposed and investigated. In particular, a type of extended quantitative reduction is obtained for the classical qualitative reduction. Some generalized thoughts are provided for optimal calculations and reduction applications of double-quantitative rough set models.
ZHANG Xian-Yong,MIAO Duo-Qian. Calculation Analysis and Attribute Reduction for Double-Quantitative Rough Set Model Based on Logical OR[J]. , 2014, 27(9): 778-786.
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2014, Vol. 27 
