| 关于Clifford半群上的fuzzy同余 |
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| 引用本文： | 李春华,徐保根,黄华伟.关于Clifford半群上的fuzzy同余[J].模糊系统与数学,2011,25(3):37-41. |
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| 作者姓名： | 李春华 徐保根 黄华伟 |
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| 作者单位： | 1. 华东交通大学基础科学学院,江西南昌,330013
2. 华南农业大学信息学院,广东广州,510642 |
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| 基金项目： | 国家自然科学基金资助项目(10661007); 江西省教育厅科技研究项目(赣教技字[2010]453号); 广东省自然科学基金资助项目(9151064201000058); 华南农业大学校长基金资助项目(5600-208056;5600-K08203); 华东交通大学科研基金资助项目 |
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| 摘 要： | 利用半群fuzzy同余的概念,讨论一类特殊的完全正则半群,即Clifford半群上的fuzzy同余.研究该类半群上fuzzy同余的性质.在此基础上,给出Clifford半群上fuzzy同余的性质和特征,得到Cllifford半群上fuzzy同余为fuzzy消去同余的充要条件.
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| 关 键 词： | 完全正则半群 Clifford半群 fuzzy(消去)同余 |
On Fuzzy Congruences of Clifford Semigroups |
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| LI Chun-hua,XU Bao-gen,HUANG Hua-wei.On Fuzzy Congruences of Clifford Semigroups[J].Fuzzy Systems and Mathematics,2011,25(3):37-41. |
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| Authors: | LI Chun-hua XU Bao-gen HUANG Hua-wei |
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| Institution: | LI Chun-hua1,XU Bao-gen1,HUANG Hua-wei2(1.School of Basic Science,East China Jiaotong University,Nanchang 330013,China,2.College of Information,South China Agricultural University,Guangzhou 510642,China) |
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| Abstract: | In this paper,we used the notion of a fuzzy congruence relation on semigroups studying some properties of fuzzy congruences on a special completely regular semigroup,that is,Clifford semigroup.On this base,some properties and characterizations of fuzzy congruences on such semigroups were given.Finally,sufficient and necessary conditions for a fuzzy congruence on a Clifford semigroup to be cancellative were proved. |
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| Keywords: | Completely Regular Semigroup Clifford Semigroup Fuzzy(Cancellative) Congruence |
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