C_Z-偏序集  

The C_Z-posets

作　　者：伍秀华[1] 王浩波[1] 

机构地区：[1]中南林业科技大学理学院,湖南长沙410004

出　　处：《模糊系统与数学》2014年第5期76-79,共4页Fuzzy Systems and Mathematics

基　　金：湖南省科技厅一般项目(2012FJ3145)

摘　　要：我们将强Z-连续偏序集推广到了CZ-偏序集,并讨论了CZ-偏序集和强Z-连续偏序集之间的关系。同时我们定义了CZ-偏序集上的CZ-连续映射,得到CZ-偏序集在该映射下的像集仍是CZ-偏序集。最后,我们讨论了CZ-偏序集上的基及其相关性质。In this paper, we introduce Cz-posets which generalize strongly Z-continuous posets and we discuss the relations between Cz-posets and strongly Z-continuous posets. Moreover, we define Cz-continuous mappings and obtain the conditions under which images of Cz-posets are also Cz-posets. Finally, we investigate bases of Cz-posets and obtain some properties of these bases.

关 键 词：基 CZ-偏序集 强Z-连续偏序集 

分 类 号：O153[理学—数学]