模糊Z_L-紧完备偏序集及扩张定理  

Z_L-core Complete Poset and Extension Theorem

作　　者：马娜娜[1] MA Na-na(School of Statistics,Xi'an University of Finance and Economics,Xi'an 710100,China)

机构地区：[1]西安财经学院统计学院,陕西西安710100

出　　处：《模糊系统与数学》2018年第6期25-32,共8页Fuzzy Systems and Mathematics

基　　金：国家自然科学基金资助项目(61702389);陕西省教育厅科研计划项目(18JK0315)

摘　　要：本文引入了模糊Z_L-紧完备偏序集,模糊Z_L-紧偏序集和模糊Z_L-闭支撑的概念,给出了模糊Z_L-完备偏序集的等价刻画。在此基础上研究了模糊Z_L-紧集的扩张定理以及扩张映射的性质。This paper introduces the concepts of fuzzy Z_L-core complete poset, fuzzy Z_L-core poset and fuzzy Z_L-closed support. Then we study the equivalent characterization of fuzzy Z_L complete poset. Based on these, we show the extension theorem of fuzzy Z_L-compact sets and the property of the extension map.

关 键 词：模糊ZL-紧完备偏序集 模糊ZL-闭支撑 扩张性 

分 类 号：O153[理学—数学]