| 格的模糊同态 |
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| 引用本文： | 李倩,辛小龙. 格的模糊同态[J]. 计算机工程与应用, 2011, 47(4): 36-38. DOI: 10.3778/j.issn.1002-8331.2011.04.010 |
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| 作者姓名： | 李倩 辛小龙 |
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| 作者单位： | 西北大学 数学系，西安 710127 |
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| 基金项目： | 陕西省自然科学基金(No.2007A19); 陕西省教育厅专项科研基金(No.08JK472)~~ |
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| 摘 要： | 研究模糊同态，自然离不开模糊映射，群与环的模糊同态分别利用了不同的模糊映射进行讨论。利用经典集间的模糊映射，引入了格的模糊同态和模糊弱同态概念，给出了模糊同态与模糊弱同态下模糊子格（模糊理想）的对应关系，并由模糊同态得到了格的理想，建立了格的同构映射，基于模糊同态所确定的映射等价刻画了模糊子格的弱（满）同态。
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| 关 键 词： | 模糊映射 模糊同态 模糊弱同态 |
| 收稿时间： | 2009-06-02 |
| 修稿时间： | 2009-7-23 |
Fuzzy homomorphism of lattice |
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| LI Qian,XIN Xiaolong. Fuzzy homomorphism of lattice[J]. Computer Engineering and Applications, 2011, 47(4): 36-38. DOI: 10.3778/j.issn.1002-8331.2011.04.010 |
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| Authors: | LI Qian XIN Xiaolong |
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| Affiliation: | Department of Mathematics，Northwest University，Xi’an 710127，China |
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| Abstract: | Fuzzy homomorphism is based on fuzzy mapping,fuzzy homomorphism of group and ring is discussed by different fuzzy mapping respectively.The concepts of fuzzy homomorphism and fuzzy weak homomorphism of lattice are introduced by fuzzy mapping of the classical sets.Some correspondence relations among fuzzy sub-lattices(fuzzy ideals) under fuzzy homomorphism and fuzzy weak homomorphism are obtained.The ideal of lattice is gained and the isomorphism among lattices is established by use of the fuzzy homomorphism.... |
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| Keywords: | fuzzy mapping fuzzy homomorphism fuzzy weak homomorphism
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