摘要
利用分子网和模糊理想的δ-闭包算子、δ-收敛性及S-收敛性等概念给出了LF几乎半连续序同态的一些新的特征定理。讨论了LF 几乎半连续序同态与LF几乎连续序同态、LF半连续序同态、LF 几乎不定序同态、LF 弱不定序同态之间的关系。指出LF 几乎半连续性与LF弱半连续性是等价的。
Som e new characteristic theorem s of LF alm ost sem i-continuous order- hom om orphism s are given by m eans of the concepts of δ-closure operator, δ-conver- gence and S-convergence ofm olecularnets and fuzzy ideals. Som erelationshipsbetw een LFalm ostsem i-continuousorder-hom om orphism sand LFalm ostcontinuous(resp. LF sem i-continuous,LF alm ostirresolute and weakly irresolute)order-hom om orphism s are discussed. Furtherm ore,the equivalentrelation between LF alm ostsem i-continuity and LFw eak sem i-continuity is pointed out.
出处
《模糊系统与数学》
CSCD
1999年第4期17-22,共6页
Fuzzy Systems and Mathematics
基金
湖北省自然科学基金!(98J078)
关键词
LF几乎半连续
序同态
分子网
模糊理想
特征定理
LF Alm ost Sem i-continuous Order-hom om orphism
Molecular Net
Fuzzy Ideal
δ-closure
δ-convergence
S-convergence
