TY - JOUR
ID - 3755
TI - BASES AND CIRCUITS OF FUZZIFYING MATROIDS
JO - Iranian Journal of Fuzzy Systems
JA - IJFS
LA - en
SN - 1735-0654
AU - Yang, Shao-Jun
AU - Shi, Fu-Gui
AD - The Fujian Provincial Key Laboratory of Network Security and
Cryptology, School of Mathematics and Computer Science, Fujian Normal University,
Fuzhou 350007, P.R. China
AD - 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
Y1 - 2018
PY - 2018
VL - 15
IS - 2
SP - 41
EP - 52
KW - Fuzzifying matroid
KW - Fuzzifying base-map
KW - Fuzzifying basis axiom
KW - Fuzzifying circuit-map
KW - Fuzzifying circuit axiom
DO - 10.22111/ijfs.2018.3755
N2 - 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.
UR - http://ijfs.usb.ac.ir/article_3755.html
L1 - http://ijfs.usb.ac.ir/article_3755_3eb0a96d3cd8eee16ffe525dc4b0db85.pdf
ER -