C_Z-偏序集

The C_Z-posets

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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.

作者伍秀华王浩波

机构地区中南林业科技大学理学院

出处《模糊系统与数学》 CSCD 北大核心 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)

关键词基 CZ-偏序集强Z-连续偏序集 Bases Cz-posets Strongly Z-continuous Posets

分类号 O153 [理学—基础数学]

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参考文献12

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