| 集合环 |
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| 引用本文： | 刘文奇,罗承忠.集合环[J].模糊系统与数学,1997,11(2):34-39. |
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| 作者姓名： | 刘文奇 罗承忠 |
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| 作者单位： | [1]昆明理工大学基础部 [2]北京师范大学数学系 |
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| 摘 要： | 本文用集环来表现模糊集，得到了表现定理的新形式，并证明了这种表现可以有限化，即用有限个经典集近似刻划模糊集并且这样的刻划是同态的。最后，证明了集对方法是集环表现的特殊情形。
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| 关 键 词： | 对称集 集对 软代数 集合环 集合套 模糊集 |
Ring of Set Liu wenqi (Kunming University of science & Technology,Kunming,650093) |
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| Luo chengzhong.Ring of Set Liu wenqi (Kunming University of science & Technology,Kunming,650093)[J].Fuzzy Systems and Mathematics,1997,11(2):34-39. |
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| Authors: | Luo chengzhong |
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| Abstract: | In this paper,fuzzy sets are described by ring of set which can be finitilized,namely that,fuzzy set can be expressed approximately by a finite sequence of pairs of set.It is demon strated that the way of expression is homomorphic,and the expressing way by single dual is a special case of that by ring. |
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| Keywords: | Symmetric set Ring of set Pair of set Soft algebra system |
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