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This paper represents an attempt to define a set of bases which can determine a closed regular fuzzy matroid, and to study some properties of section fuzzy matroids, elementary section fuzzy matroids and elementary fuzzy matroids. Axioms for bases of both elementary fuzzy matroids and closed regular fuzzy matroids are presented, respectively. It is proved that the set of bases of all closed regular...
This paper represents an attempt to define a closure operator which can determine Geotschel and Voxman fuzzy matroid (GV fuzzy matroid for short), and presents an application of the notion co-tower in GV fuzzy matroids. Two bijections are obtained for a given finite set X, one is from AX={δ⊆[0,1]X|(X,δ)is a closed singular GV fuzzy matroid or a closed proper single GV fuzzy matroid} to BX (the set...
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