Bases of [0,1]-matroids

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Hacettepe Journal of Mathematics and Statistics
Volume:39 Issue:2
Bases of [0,1]-matroids

Bases of [0,1]-matroids

Authors : Chune HUANG, Fugui SHİ

Pages : 233-240

View : 20 | Download : 7

Publication Date : 2010-02-01

Article Type : Research Paper

Abstract :In this paper, a characterization of [0, 1]-matroids is given. It is proved that a [0, 1]-matroid is equivalent to a hereditary fuzzy pre-matroid, and that a perfect [0, 1]-matroid is equivalent to a Goetschel-Voxman fuzzy matroid. It is proved that there is a one-to-one correspondence between the family of closed perfect [0, 1]-matroids on E and the set of their fuzzy bases.
Keywords : Basis, 2000 AMS Classification 03 E 70

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