Shao-Jun Yang - The Fujian Provincial Key Laboratory of Network Security and Cryptology, School of Mathematics and Computer Science, Fujian Normal University, Fuzhou ۳۵۰۰۰۷, P.R. China
Fu-Gui Shi - School of Mathematics and Statistics, Beijing Institute of Technology, Beijing ۱۰۲۴۸۸, P.R. China; Beijing Key Laboratory on MCAACI, Beijing Institute of Technology, Beijing ۱۰۲۴۸۸, P.R. China

In this paper, as an application of fuzzy matroids, the fuzzifying greedy algorithm is proposed and an achievableexample is given. Basis axioms and circuit axioms of fuzzifying matroids, which are the semantic extension for thebasis axioms and circuit axioms of crisp matroids respectively, are presented. It is proved that a fuzzifying matroidis equivalent to a mapping which satisfies the basis axioms or circuit axioms.

Fuzzifying matroid, Fuzzifying base-map, Fuzzifying basis axiom, Fuzzifying circuit-map, Fuzzifying circuit axiom