摘要
本文利用模糊子群概念，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子群若干重要性质；给出并证明了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。
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.
出处
《华东地质学院学报》
1997年第3期293-300,共8页
Journal of East China Geological Institute
基金
江西省自然科学基金
