# BASES AND CIRCUITS OF FUZZIFYING MATROIDS

Document Type : Research Paper

Authors

1 The Fujian Provincial Key Laboratory of Network Security and Cryptology, School of Mathematics and Computer Science, Fujian Normal University, Fuzhou 350007, P.R. China

2 School of Mathematics and Statistics, Beijing Institute of Technology, Beijing 102488, P.R. China; Beijing Key Laboratory on MCAACI, Beijing Institute of Technology, Beijing 102488, P.R. China

Abstract

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

Keywords

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