| 基于模糊二元运算的直觉模糊群 |
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| 引用本文： | 班喜光,刘锋.基于模糊二元运算的直觉模糊群[J].模糊系统与数学,2006,20(4):16-21. |
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| 作者姓名： | 班喜光 刘锋 |
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| 作者单位： | 海军大连舰艇学院,基础部,辽宁,大连,116018 |
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| 摘 要： | 为了使直觉模糊群也具有经典的结构,首先给出经典集合G的一种直觉模糊二元运算,利用这种直觉模糊二元运算定义了直觉模糊群,讨论这种直觉模糊群的一些性质,并给出直觉模糊群的两种等价定义。由于直觉模糊群具有和群一样经典的结构,因此,使直觉模糊代数的深入研究有了充分的理论基础。
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| 关 键 词： | 模糊二元运算 直觉模糊群 直觉模糊集 |
| 文章编号： | 1001-7402（2006）04-0016-06 |
| 收稿时间： | 2005-03-16 |
| 修稿时间： | 2006-02-14 |
Intuitionistic Fuzzy Group Based on Bi-factor Operation |
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| BAN Xi-guang,LIU Feng.Intuitionistic Fuzzy Group Based on Bi-factor Operation[J].Fuzzy Systems and Mathematics,2006,20(4):16-21. |
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| Authors: | BAN Xi-guang LIU Feng |
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| Institution: | Department of Basic Sciences,Dalian Naval Academy,Dalian 116018,China |
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| Abstract: | An intuitionistic fuzzy binary operation on normal sets is given,and an intuitionistic fuzzy(group) G is defined in this paper in order to get the structure of intuitionistic(fuzzy) group same as that of normal group.We have discussed the characters of the intuitionistic fuzzy group,and given two(defines) that are same as the first define of intuitionistic fuzzy group.We have got the good result in(this) paper.It is useful for us to further study intuitionistic fuzzy algebra. |
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| Keywords: | Intuitionistic Fuzzy Binary Operation Intuitionistic Fuzzy Group Intuitionistic Fuzzy Set |
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