| 模糊蕴涵算子及其构造(Ⅰ)--模糊蕴涵算子及其性质 |
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| 引用本文： | 尤飞,冯艳宾,李洪兴.模糊蕴涵算子及其构造(Ⅰ)--模糊蕴涵算子及其性质[J].北京师范大学学报(自然科学版),2003,39(5):606-611. |
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| 作者姓名： | 尤飞 冯艳宾 李洪兴 |
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| 作者单位： | 1. 北京师范大学数学系,100875,北京;榆林学院数学系,719000,陕西,榆林
2. 北京师范大学数学系,100875,北京 |
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| 基金项目： | 国家自然科学基金;60174013; |
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| 摘 要： | 讨论了32个模糊蕴涵算子的构造并验证了它们是否满足16条常用性质．然后考虑了它们与几个重要蕴涵，诸如正常蕴涵、异常蕴涵、强蕴涵、连续强蕴涵、正规蕴涵以及理想蕴涵之间的联系．
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| 关 键 词： | 模糊蕴涵算子 正常蕴涵 强蕴涵 正规蕴涵 理想蕴涵 模糊控制 |
| 修稿时间： | 2003年4月29日 |
FUZZY IMPLICATION OPERATORS AND THEIR CONSTRUCTION --FUZZY IMPLICATION OPERATORS AND THEIR PROPERTIES |
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| You Fei , Feng Yanbin Li Hongxing.FUZZY IMPLICATION OPERATORS AND THEIR CONSTRUCTION --FUZZY IMPLICATION OPERATORS AND THEIR PROPERTIES[J].Journal of Beijing Normal University(Natural Science),2003,39(5):606-611. |
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| Authors: | You Fei Feng Yanbin Li Hongxing |
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| Institution: | You Fei 1,2) Feng Yanbin 1) Li Hongxing 1) |
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| Abstract: | fuzzy implication operators (briefly written as FIOs) are considered in the paper. First of all, it is verified whether the 32 FIOs satisfy 16 properties in common use. Then the relationships between the 32 FIOs and some important implications such as normal FIO, abnormal FIO, strong FIO, continuous strong FIO, regular FIO and ideal FIO are studied in detail. |
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| Keywords: | FIOs normal FIOs strong FIOs regular FIOs ideal FIOs |
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