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| Matroids play an important role in applied mathematics, and are precisely the structures for which the very simple and efficient greedy algorithm works. In this paper, an $M$-fuzzy family of fuzzy bases, an $([0,1],M)$-fuzzy rank function and an $([0,1],M)$-fuzzy$\alpha$-nullity are defined for closed and perfect $([0,1],M)$-fuzzy matroids. They can be used to characterize closed and perfect $([0,1],M)$-fuzzy matroids. |
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| Keywords:Basic Mathematic, closed and perfect $([0,1],M)$-fuzzy matroid, $M$-fuzzy family of fuzzy bases, $([0,1],M)$-fuzzy rank function, $([0,1],M)$-fuzzy $\alpha$-nullity |
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