有限Abel群的Fuzzy子群的等价分类及其类数  

Equivalent Classes and Its Number of Fuzzy Subgroups of a Finite Abel Group

作　　者：宋明娟[1] 王佳秋[1] 

机构地区：[1]黑龙江科技学院,黑龙江哈尔滨150027

出　　处：《模糊系统与数学》2005年第3期29-32,共4页Fuzzy Systems and Mathematics

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。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.

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 

分 类 号：O159[理学—数学]