Title of article :
BASES OF [0,1]-MATROIDS§
Author/Authors :
Huang, Chun-E. Hunan University of Science and Technology - School of Mathematics and Computing Science, China , Huang, Chun-E. Beijing Institute of Technology - School of Science - Department of Mathematics, China , Shi, Fu-Gui Beijing Institute of Technology - School of Science - Department of Mathematics, China
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 :
[0 , 1] , matroid , Basis , Perfect [0 , 1] , matroid , Closed [0 , 1] , matroid
Journal title :
Hacettepe Journal Of Mathematics and Statistics
Journal title :
Hacettepe Journal Of Mathematics and Statistics
