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[0,1]-拟阵模糊基的进一步研究
Further Study on Fuzzy Bases of [0,1]-Matroids
【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.
【Abstract】 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;
【Key words】 [0,1]-matroid; fuzzy base; boundedness; saturation; strongly good-base property;
【Key words】 [0,1]-matroid; fuzzy base; boundedness; saturation; strongly good-base property;
【基金】 国家自然科学基金(批准号:11501435)
- 【文献出处】 吉林大学学报(理学版) ,Journal of Jilin University(Science Edition) , 编辑部邮箱 ,2016年06期
- 【分类号】O159
- 【下载频次】43