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Properties and Relations of Several Operators Based on Covering Rough Sets

Properties and Relations of Several Operators Based on Covering Rough Sets
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摘要 The coveting rough sets theory is a generalization of traditional rough set theory, and can also describe information with incompleteness and fuzziness in information systems. In this paper, we first provide the definitions of several upper and lower covering approximation operators on the covering approximation space. Then, we study the properties of these operators. Finally, we propose the mutual relations between approximation operators and similar relations of the operator ( I ) based on the covering rough sets. The coveting rough sets theory is a generalization of traditional rough set theory, and can also describe information with incompleteness and fuzziness in information systems. In this paper, we first provide the definitions of several upper and lower covering approximation operators on the covering approximation space. Then, we study the properties of these operators. Finally, we propose the mutual relations between approximation operators and similar relations of the operator ( I ) based on the covering rough sets.
出处 《Journal of Southwest Jiaotong University(English Edition)》 2010年第2期182-187,共6页 西南交通大学学报(英文版)
基金 The National Natural Science Foundation of China(No.60474022)
关键词 Rough sets Covering rough sets Covering approximation operators Rough sets Covering rough sets Covering approximation operators
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