LF几乎半连续序同态的特征性质  

The Characters of LF Almost Semi-continuous Order-homomorphisms

作　　者：陈水利[1] 周武能[2] 

机构地区：[1]江汉石油学院基础科学系,湖北荆州434102 [2]荆州师范学院数学系,湖北荆州434104

出　　处：《模糊系统与数学》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)

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.

关 键 词：LF几乎半连续 序同态 分子网 模糊理想 特征定理 

分 类 号：O159[理学—数学] O189.1[理学—基础数学]