University of Sistan and BaluchestanIranian Journal of Fuzzy Systems1735-065415220180429BASES AND CIRCUITS OF FUZZIFYING MATROIDS4152375510.22111/ijfs.2018.3755ENShao-JunYangThe Fujian Provincial Key Laboratory of Network Security and
Cryptology, School of Mathematics and Computer Science, Fujian Normal University,
Fuzhou 350007, P.R. ChinaFu-GuiShiSchool 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. ChinaJournal Article20161007In this paper, as an application of fuzzy matroids, the fuzzifying greedy algorithm is proposed and an achievable<br />example is given. Basis axioms and circuit axioms of fuzzifying matroids, which are the semantic extension for the<br />basis axioms and circuit axioms of crisp matroids respectively, are presented. It is proved that a fuzzifying matroid<br />is equivalent to a mapping which satisfies the basis axioms or circuit axioms.https://ijfs.usb.ac.ir/article_3755_3eb0a96d3cd8eee16ffe525dc4b0db85.pdf