Properties and Relations of Several Operators Based on Covering Rough Sets |
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| Authors: | XIA Xiu-yun TIAN Hao QIN Ke-yun |
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| Institution: | 1. College of Mathematics, Southwest Jiaotong University, Chengdu 610031, China
2. College of Geometry Science Fujian Normal University, Fuzhou 350002, China |
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| Abstract: | The covering 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. |
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| Keywords: | Rough sets Covering rough sets Covering approximation operators |
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