| 蕴涵算子族及其构造 |
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| 引用本文： | 汪德刚,李洪兴.蕴涵算子族及其构造[J].北京师范大学学报(自然科学版),2008,44(1):25-31. |
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| 作者姓名： | 汪德刚 李洪兴 |
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| 作者单位： | 北京师范大学数学科学学院,100875,北京;北京师范大学数学科学学院,100875,北京 |
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| 基金项目： | 九七三国家重大基础研究计划基金，国家自然科学基金 |
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| 摘 要： | 给出了蕴涵算子族的定义,将蕴涵算子的性质进一步推广,给出了蕴涵算子族的16条常用性质.基于含参数的三角模和余三角模构造了42种蕴涵算子族.验证了所构造的蕴涵算子族是否满足16条常用性质,揭示了它们与几个重要蕴涵算子族之间的关系.
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| 关 键 词： | 蕴涵算子族 三角模 余三角模 |
| 收稿时间： | 2007-06-08 |
| 修稿时间： | 2007年6月8日 |
FUZZY IMPLICATION OPERATORS FAMILY AND ITS STRUCTURE |
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| WANG Degang,LI Hongxing.FUZZY IMPLICATION OPERATORS FAMILY AND ITS STRUCTURE[J].Journal of Beijing Normal University(Natural Science),2008,44(1):25-31. |
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| Authors: | WANG Degang LI Hongxing |
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| Abstract: | Fuzzy implication operator family was defined, properties of fuzzy implication operators were further expanded, and 16 common properties were proposed. Fourty two families of fuzzy implication operators were constructed based on triangular and co-triangular norms with parameters. Whether the 42 families of fuzzy implication operators satisfy the 16 common properties was examined. The relations of the said 42 families with other important families were investigated. |
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| Keywords: | Fuzzy implication operator family triangular norms with parameter co-triangular norms with parameter |
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