| MTL代数的蕴涵滤子与正蕴涵滤子 |
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| 引用本文： | 张花荣,谢强军. MTL代数的蕴涵滤子与正蕴涵滤子[J]. 中国计量学院学报, 2008, 19(3): 269-271 |
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| 作者姓名： | 张花荣 谢强军 |
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| 作者单位： | 1. 中国计量学院,理学院,浙江,杭州,310018
2. 杭州电子科技大学,理学院,浙江,杭州,310018 |
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| 摘 要： | 在MTL代数M上引入了蕴涵滤子、正蕴涵滤子的概念,研究了它们的性质,给出了M的非空子集成为蕴涵滤子及正蕴涵滤子的充要条件和M的蕴涵滤子成为正蕴涵滤子的充要条件.讨论了蕴涵滤子与正蕴涵滤子的关系,得到了M的每一个正蕴涵滤子都是蕴涵滤子,但反之不真.
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| 关 键 词： | MTL代数 蕴涵滤子 正蕴涵滤子 |
Implicative filters and positive implicative filters of MTL algebras |
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| ZHANG Hua-rong,XIE Qiang-jun. Implicative filters and positive implicative filters of MTL algebras[J]. Journal of China Jiliang University, 2008, 19(3): 269-271 |
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| Authors: | ZHANG Hua-rong XIE Qiang-jun |
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| Affiliation: | ZHANG Hua-rong , XIE Qiang-jun (1. College of Sciences, China Jiliang University, Hangzhou 310018, China; 2. School of Sciences,Hangzhou Dianzi University, Hangzhou 310018, China) |
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| Abstract: | The concept of implicative filters and positive implicative filters was introduced in MTL algebras M. The sufficient and necessary condition that non-empty subsets of M become （positive）implicative filters was given. The relation between implicative filters and positive implicative filters was discussed. The sufficient and necessary condition that implicative filters become positive implicative filters was given. We get that every positive implicative filter is an implicative filter, but the converse is not true. |
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| Keywords: | MTL algebras implicative filters positive implicative filters |
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