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关于L—Fuzzy子群
引用本文:刘龙章,乐励华.关于L—Fuzzy子群[J].华东地质学院学报,1997,20(3):293-300.
作者姓名:刘龙章  乐励华
作者单位:华东地质学院基础部
摘    要:本文利用模型子群概念,引入了L-Fuzzy子群概念。基于模糊集合的层次结构特征,得到L-Fuzzy了群若干重要性质;给出并证明L-Fuzzy子群的一系列等价刻划;文章最后讨论L-Fuzzy子群同态性质 。

关 键 词:分子格  水平截集  L-Fuzzy子群  同态性质  群论

On L Fuzzy Subgroups
Liu Longzhang \ \ Le Lihua\ \ Dai Lihui.On L Fuzzy Subgroups[J].Journal of East China Geological Institute,1997,20(3):293-300.
Authors:Liu Longzhang \ \ Le Lihua\ \ Dai Lihui
Abstract:This paper introduces the conception of L Fuzzy subgroups by use of the Fuzzy subproups conception proposed by Rosenfeld(1971).Based on the level structure characteristics of Fuzzy sets,some important properities of L Fuzzy subgroups is obtained, and the equivalent conditions of L Fuzzy subgroups is also given and proved .In the end,the congruence property of L Fuzzy subgroups is discussed.
Keywords:molecular lattice level sets  L Fuzzy subgroups  congruence proerty  
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