摘要
研究了模糊子群的上确界性质并给出了模糊子群具有上确界性质的充要条件 ,利用它研究了循环群模糊子群的结构。最后 ,本文研究了一种比上确界性质弱一些的条件 ,在该条件下模糊群可以具有好的性质。
In this paper we study the sup property of the fuzzy subgroups and give a necessary and sufficient condition of a fuzzy subgroup A which has the sup property. As its application,we also prove a fuzzy subgroup A of a cyclic group where Im(A) is infinite does not have the sup property. At last,we study a weaker condition that the sup property under which a fuzzy group can have good property.
出处
《模糊系统与数学》
CSCD
2000年第2期4-8,共5页
Fuzzy Systems and Mathematics
