[0,1]-拟阵模糊基的进一步研究

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

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.