摘要
研究了支撑集为群的模糊集合在反复“自乘”下的极限的存在性和形态问题.给出了模糊集合的OP-极限概念.利用贝壳对和大(小)-瓣,给出了OP-极限存在的充分条件.讨论了一些特殊群上模糊集合的OP-极限,这些OP-极限都具有较好的平层形态.
In this paper, the existence and form of the limit of a fuzzy set on a group under repeated ‘self-multiplication’ are studied. The OP-limit concept of fuzzy sets is given. Sufficient conditions for the existence of OP-limit are given by using shell pairs and Max(Min)-petal. The OPlimits of fuzzy sets on some special groups are discussed. These OP-limits have better layer-form.
作者
晁海洲
倪翔飞
CHAO Hai-zhou;NI Xiang-fei(ShangHai University Of Finance and Economics Zhejiang College,Jinhua 321013,China;Department of Mathematics,Zhejiang Normal University,Jinhua 321001,China)
出处
《高校应用数学学报（A辑）》
北大核心
2023年第1期111-120,共10页
Applied Mathematics A Journal of Chinese Universities(Ser.A)
基金
国家自然科学基金(11801515,11401534)
浙江省教育厅基金(Y201840008)。
