| 有限Abel群的Fuzzy子群的等价分类及其类数 |
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| 引用本文： | 宋明娟,王佳秋.有限Abel群的Fuzzy子群的等价分类及其类数[J].模糊系统与数学,2005,19(3):29-32. |
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| 作者姓名： | 宋明娟 王佳秋 |
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| 作者单位： | 黑龙江科技学院,黑龙江,哈尔滨,150027;黑龙江科技学院,黑龙江,哈尔滨,150027 |
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| 摘 要： | 定义Fuzzy子群的两种等价关系，给出了有限Abel群的Fuzzy子群在这两种等价关系下的等价类数的求解公式。
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| 关 键 词： | 水平集的阶 合成群列 商群列 因数列 极大因数列 L等价 LO等价 |
| 文章编号： | 1001-7402（2005）03-0029-04 |
| 收稿时间： | 2004-03-18 |
| 修稿时间： | 2004-05-29 |
Equivalent Classes and Its Number of Fuzzy Subgroups of a Finite Abel Group |
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| SONG Ming-juan,WANG Jia-qiu.Equivalent Classes and Its Number of Fuzzy Subgroups of a Finite Abel Group[J].Fuzzy Systems and Mathematics,2005,19(3):29-32. |
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| Authors: | SONG Ming-juan WANG Jia-qiu |
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| Abstract: | In this paper, two equivalence relationships on fuzzy subgroups of a group are defined, and the formulas to find the numbers of equivalent classes of fuzzy subgroups of a finite Abel group in two equivalence relationship are given. |
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| Keywords: | The Order of a Level Set Composition Series of a Group Quotient Series of a Group Divisor Series of a Number Maximal Divisor Series of a Number L Equivalent Relationship~ LO Equivalent Relationship |
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