| 关于模糊群性质的商榷 |
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| 引用本文： | 王欣彦,李慧林.关于模糊群性质的商榷[J].沈阳化工学院学报,2003,17(4):313-316. |
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| 作者姓名： | 王欣彦 李慧林 |
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| 作者单位： | 沈阳化工学院基础部数学教研室,辽宁,沈阳,110142 |
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| 摘 要： | 根据模糊数学的理论，进一步探讨有关模糊环及其子环的问题；再由同态及同构定理研究关于模糊逆映射的问题，并讨论模糊逆映射的相应性质．首先给出反模糊子环和反模糊商环的定义，然后研究反模糊商群的同态基本定理，最后给出反模糊理想的概念并证明反模糊子环的同构定理．
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| 关 键 词： | 模糊映射 同态基本定理 反模糊子环 模糊理想 |
| 文章编号： | 1004-4639(2003)04-0313-04 |
| 修稿时间： | 2002年12月12 |
About the Anti-Fuzzy Factor Group |
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| WANG Xin-yan,LI Hui-lin.About the Anti-Fuzzy Factor Group[J].Journal of Shenyang Institute of Chemical Technolgy,2003,17(4):313-316. |
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| Authors: | WANG Xin-yan LI Hui-lin |
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| Abstract: | The concept is based on the fuzzy theory, the main problem is anti-fuzzy factor group and anti-fuzzy factor rings.The article is devided into two parts. First, the anti-fuzzy factor group is given and its fundamental qualities is studied. Seconnd , the definitions of anti-fuzzy subrings and anti-fuzzy factor rings are given in this paper, and their fundamental qualities are studied. In the end, the theory of anti-fuzzy rings and the theory of anti-fuzzy subrings are proven. |
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| Keywords: | fuzzy-mapping homomorphisms anti-fuzzy-rings fuzzy-idea |
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