协调映射下一类覆盖上近似算子的不变性质 |
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引用本文: | 张燕兰,;李长清.协调映射下一类覆盖上近似算子的不变性质[J].漳州师院学报,2014(4):21-25. |
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作者姓名: | 张燕兰 ;李长清 |
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作者单位: | [1]闽南师范大学计算机学院,福建漳州363000; [2]闽南师范大学数学与统计学院,福建漳州363000 |
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基金项目: | 国家自然科学基金(71140004);福建省科技厅计划项目(2013J01028,2013J01265,2012R0090);福建省教育厅计划项目(JA13198,JA14200);闽南师范大学杰出青年基金(SJ1118) |
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摘 要: | 协调映射可以将信息系统映成对象较少的信息系统,从而压缩数据.本文讨论覆盖粗集在协调映射下的不变性质.指出满的协调映射可以保证原覆盖近似空间的一类覆盖上近似与像覆盖近似空间覆盖上近似之间一一时应.
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关 键 词: | 覆盖上近似算子 协调映射 |
On Invariance Properties of a Type of Covering Upper Approximation Operator Under Consistent Function |
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Institution: | ZHANG Yan-lan , LI Chang-qing ( 1.School of Computer Science, Minnan Normal University, Zhangzhou, Fujian 363000, China; 2.School of Mathematics and Statistics, Minnan Normal University, Zhangzhou, Fujian 363000, China) |
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Abstract: | Under consistent function, a complex massive information system can be compressed into a relatively small-scale information system. Invariance properties of covering-based rough sets under consistent function are discussed. It is proved that there exist one-to-one correspondence between a covering upper approximation of original approximation space and the covering upper approximation of image approximation space under consistent function. |
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Keywords: | covering upper approximation operator consistent function |
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