| 粗糙集代数与格蕴涵代数 |
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| 引用本文： | 秦克云,涂文彪. 粗糙集代数与格蕴涵代数[J]. 西南交通大学学报, 2004, 39(6): 754-757 |
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| 作者姓名： | 秦克云 涂文彪 |
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| 作者单位： | 1. 西南交通大学理学院,四川,成都,610031
2. 南通师范学院数学系,江苏,南通,226007 |
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| 摘 要： | 讨论粗糙集代数与格蕴涵代数的关系以及由粗糙集代数构造格蕴涵代数的方法．借助近似代数上的原子及同余关系，证明了在适当选取蕴涵算子及余运算之后，粗糙集代数就成为格蕴涵代数。
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| 关 键 词： | 格蕴涵代数 粗糙集 粗糙集代数 |
| 文章编号： | 0258-2724(2004)06-0754-04 |
Rough Set Algebra and Lattice Implication Algebra |
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| QIN Ke-yun,TU Wen-biao. Rough Set Algebra and Lattice Implication Algebra[J]. Journal of Southwest Jiaotong University, 2004, 39(6): 754-757 |
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| Authors: | QIN Ke-yun TU Wen-biao |
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| Affiliation: | QIN Ke-yun~1,TU Wen-biao~2 |
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| Abstract: | The relation between rough set algebra and lattice implication algebra was studied, and the method of constructing lattice implication algebra from rough set algebra was presented. Based on the atoms and congruence relations of approximation algebra, it is proved that rough set algebra becomes lattice implication algebra if proper implication and complement operators are selected. |
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| Keywords: | lattice implication algebra rough set rough set algebra |
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