[0,1]-拟阵模糊基的进一步研究  

Further Study on Fuzzy Bases of [0,1]-Matroids

作　　者：林福宁[1] 李生刚[1] 杨小飞[2] 

机构地区：[1]陕西师范大学数学与信息科学学院,西安710119 [2]西安工程大学理学院,西安710048

出　　处：《吉林大学学报（理学版）》2016年第6期1300-1306,共7页Journal of Jilin University:Science Edition

基　　金：国家自然科学基金(批准号:11501435)

摘　　要：进一步研究保证[0,1]-拟阵模糊基具有存在性、等势性和交换性的条件,通过引入有界性、饱和性和强基好性的概念,给出有界性与闭性、饱和性与正则性、强基好性与基好性之间的关系.We further studied the conditions to ensure the existence of fuzzy bases for [-0,1]-matroids, and to ensure that the fuzzy bases have equicardinal property and exchange property. We gave the relations between boundedness and closedness, between saturation and regularity, between strongly good-base property and good-base property by introducing the notions of boundedness, saturation and strongly good-base property.

关 键 词：[0 1]-拟阵 模糊基 有界性 饱和性 强基好性 

分 类 号：O157[理学—数学]