黑龙江大学自然科学学报
黑龍江大學自然科學學報
흑룡강대학자연과학학보
JOURNAL OF NATURAL SCIENCE OF HEILONGJIANG UNIVERSITY
2010年
2期
197-200
,共4页
模糊数%度量%收敛
模糊數%度量%收斂
모호수%도량%수렴
fuzzy number%metric%convergence
研究模糊数序列{un}关于上确界度量,Skorohod度量,Lp型度量(1≤p<∞)的收敛与水平收敛之间的关系.证明了:如果模糊数序列{un}的极限u是连续模糊数,那么模糊数序列{un}关于上述的四种收敛是等价的.
研究模糊數序列{un}關于上確界度量,Skorohod度量,Lp型度量(1≤p<∞)的收斂與水平收斂之間的關繫.證明瞭:如果模糊數序列{un}的極限u是連續模糊數,那麽模糊數序列{un}關于上述的四種收斂是等價的.
연구모호수서렬{un}관우상학계도량,Skorohod도량,Lp형도량(1≤p<∞)적수렴여수평수렴지간적관계.증명료:여과모호수서렬{un}적겁한u시련속모호수,나요모호수서렬{un}관우상술적사충수렴시등개적.
The aim is to study the relationship between eonvergences of sequences of fuzzy numbers with respect to the supremum metric, Skorohod metric, Lp metric (1≤p < ∞ ), and the level convergence. It is shown that if the limit u of sequences {un} of fuzzy numbers is a continuous fuzzy number, then all the previous convergences are e-quivalent.
