| 模糊蕴涵算子及其构造(Ⅱ)--模糊蕴涵算子的伴随对及其圈乘算子 |
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| 引用本文： | 尤飞,冯艳宾,王加银,李洪兴.模糊蕴涵算子及其构造(Ⅱ)--模糊蕴涵算子的伴随对及其圈乘算子[J].北京师范大学学报(自然科学版),2004,40(2):168-176. |
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| 作者姓名： | 尤飞 冯艳宾 王加银 李洪兴 |
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| 作者单位： | 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，高等学校博士学科点专项科研项目，教育部科学技术基金，国家重点基础研究发展计划(973计划) |
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| 摘 要： | 验证了15个有可能存在伴随对的模糊蕴涵算子的保存在交性质,结果表明它们都满足保存在交性质.求出了这15个模糊蕴涵算子的伴随对,得到了14个模糊蕴涵算子.给出了一种构造模糊蕴涵算子的方法,并求出了在这种构造方法下,由46个模糊蕴涵算子构造得到的模糊蕴涵算子及这46个模糊蕴涵算子的圈乘算子,共构造出89个模糊蕴涵算子.
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| 关 键 词： | 模糊蕴涵算子 保存在交 伴随对 圈乘算子 |
| 修稿时间： | 2003年5月26日 |
FUZZY IMPLICATION OPERATORS AND THEIR CONSTRUCTION (Ⅱ):ADJOINT PAIRS OF FIOS AND CIRCLE-MULTIPLICATION OPERATORS |
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| You Fei,Feng Yanbin,Wang Jiayin,Li Hongxing.FUZZY IMPLICATION OPERATORS AND THEIR CONSTRUCTION (Ⅱ):ADJOINT PAIRS OF FIOS AND CIRCLE-MULTIPLICATION OPERATORS[J].Journal of Beijing Normal University(Natural Science),2004,40(2):168-176. |
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| Authors: | You Fei Feng Yanbin Wang Jiayin Li Hongxing |
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| Abstract: | The preserving existence intersection property of 15 FIOs which may have adjoint pairs are testified respectively. The result shows that all of them satisfy the preserving existence intersection property. The adjoint pairs of 15 FIOs are obtained. A method which can construct FIOs is given, and some FIOs are constructed by 46 FIOs under this kind of method. Moreover, circle multiplication operators of 46 FIOs are obtained respectively. 89 FIOs are constructed in all. |
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| Keywords: | FIOs the preserving existence intersection property adjoint pairs circle multiplication operators |
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