| 粗集代数与蕴涵格、格蕴涵代数、剩余格 |
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| 引用本文： | 田勇,程惠茹.粗集代数与蕴涵格、格蕴涵代数、剩余格[J].新乡学院学报(自然科学版),2014(10):1-4. |
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| 作者姓名： | 田勇 程惠茹 |
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| 作者单位： | 河南机电职业学院信息工程系;河南师范大学数学与信息科学学院 |
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| 摘 要： | 在重新定义补运算和构造新蕴涵算子的基础上，证明了偶序对〈R，～R〉不仅可以构成蕴涵格、格蕴涵代数、剩余格，而且可构成正则剩余格和MV-代数。
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| 关 键 词： | 粗集代数 蕴涵格 格蕴涵代数 剩余格 MV-代数 |
Rough Set Algebra and Implication Lattice,Lattice Implication Algebra,Residual Lattice |
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| Authors: | TIAN Yong;CHENG Huiru |
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| Institution: | TIAN Yong;CHENG Huiru;Department of Information Engineering,Henan Mechanical and Electrical Vocational College;College of Mathematics and Information Science,Henan Normal University; |
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| Abstract: | In this article, it was proved that the even-order （R-R） can not only constitute implication lattice, lattice implication algebra and residual lattice, but regular residual lattice and MV-algebra based on the redefined fill opera- tors and implication operators. |
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| Keywords: | rough set algebra implication lattice lattice implication algebra residual lattice MV-algebra |
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