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.

Key words: strongly goodbase property, boundedness, ［0,1］-matroid, fuzzy base, saturation