| L-型模糊格蕴涵代数 |
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| 引用本文： | 宋庆龙,李春瑞,赵光峰.L-型模糊格蕴涵代数[J].数学季刊,2006,21(2):246-251. |
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| 作者姓名： | 宋庆龙 李春瑞 赵光峰 |
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| 作者单位： | Department of Mathematics，Tangshan Teachers' College，Tangshan 063000，China |
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| 摘 要： | This paper introduced the concept of L-fuzzy sub lattice implication algebra and discussed its properties. Proved that the intersection set of a family of L-fuzzy sub lattice implication algebras is a L-fuzzy sub lattice implication algebra, that a L-fuzzy sub set of a lattice implication algebra is a L-fuzzy sub lattice implication algebra if and only if its every cut set is a sub lattice implication algebra, and that the image and original image of a L-fuzzy sub lattice implication algebra under a lattice implication homomorphism are both L-fuzzy sub lattice implication algebras.
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| 关 键 词： | L-模糊性 晶格牵连代数学 同态 原始成像 |
L-fuzzy Lattice Implication Algebra |
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| SONG Qing-long,LI Chun-rui,ZHAO Guang-feng.L-fuzzy Lattice Implication Algebra[J].Chinese Quarterly Journal of Mathematics,2006,21(2):246-251. |
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| Authors: | SONG Qing-long LI Chun-rui ZHAO Guang-feng |
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| Abstract: | This paper introduced the concept of L-fuzzy sub lattice implication algebra and discussed its properties. Proved that the intersection set of a family of L-fuzzy sub lattice implication algebras is a L-fuzzy sub lattice implication algebra, that a L-fuzzy sub set of a lattice implication algebra is a L-fuzzy sub lattice implication algebra if and only if its every cut set is a sub lattice implication algebra, and that the image and original image of a L-fuzzy sub lattice implication algebra under a lattice implication homomorphism are both L-fuzzy sub lattice implication algebras. |
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| Keywords: | L-Fuzzy lattice implication algebra |
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