| Fuzzy蕴涵代数的正则滤子 |
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| 引用本文： | 刘春辉.Fuzzy蕴涵代数的正则滤子[J].计算机工程与应用,2014,50(20):41-44. |
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| 作者姓名： | 刘春辉 |
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| 作者单位： | 1.赤峰学院 教务处，内蒙古 赤峰 024001
2.赤峰学院 数学与统计学院，内蒙古 赤峰 024001 |
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| 基金项目： | 国家自然科学基金(No.10371106，No.60774073)。 |
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| 摘 要： | 在Fuzzy蕴涵代数中引入正则滤子的概念并讨论其性质。获得了正则滤子的若干等价刻画。深入考察了正则滤子与其他类型的滤子之间的关系，证明了一个非空集合是正关联滤子当且仅当它既是关联滤子又是正则滤子的结论。
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| 关 键 词： | 模糊逻辑 Fuzzy蕴涵代数 MP滤子 正则滤子 |
Regular filters in Fuzzy implication algebras |
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| LIU Chunhui.Regular filters in Fuzzy implication algebras[J].Computer Engineering and Applications,2014,50(20):41-44. |
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| Authors: | LIU Chunhui |
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| Affiliation: | 1.Dean’s Office, Chifeng University, Chifeng, Nei Mongol 024001, China
2.School of Mathematics and Statistics, Chifeng University, Chifeng, Nei Mongol 024001, China |
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| Abstract: | The concept of regular filters is introduced in fuzzy implication algebras and their properties are discussed. Some equivalent characterizations of regular filters are obtained. Relations between regular filters and other types filters are investigated deeply, it is proved that a nonempty set is a positive implicative filter if and only if it is both an implica-tive filter and a regular filter. |
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| Keywords: | fuzzy logic Fuzzy implication algebra MP-filter regular filter |
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