%0 Journal Article
%T BASES AND CIRCUITS OF FUZZIFYING MATROIDS
%J Iranian Journal of Fuzzy Systems
%I University of Sistan and Baluchestan
%Z 1735-0654
%A Yang, Shao-Jun
%A Shi, Fu-Gui
%D 2018
%\ 04/29/2018
%V 15
%N 2
%P 41-52
%! BASES AND CIRCUITS OF FUZZIFYING MATROIDS
%K Fuzzifying matroid
%K Fuzzifying base-map
%K Fuzzifying basis axiom
%K Fuzzifying circuit-map
%K Fuzzifying circuit axiom
%R 10.22111/ijfs.2018.3755
%X 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.
%U http://ijfs.usb.ac.ir/article_3755_3eb0a96d3cd8eee16ffe525dc4b0db85.pdf