Affiliations: School of Computer Science and Technology, Liaocheng University, Liaocheng, P.R. China | School of Mathematics, Beijing Institute of Technology, Beijing, P.R. China | School of Mathematics Science, Liaocheng University, Liaocheng, P.R. China
Note: [] Corresponding author. Shou-Bin Sun, School of Computer Science and Technology, Liaocheng University, Liaocheng, P.R. China. Tel.: +8615206506635; Fax: +8615166352680; E-mail: [email protected]
Abstract: In this paper, we prove that not all of fuzzifying matroids have dual matroids. Then we give a sufficient and necessary condition such that a fuzzifying matroid has dual matroid. We also present the notion of spanning of fuzzifying matroids and prove that a fuzzifying matroid with dual matroid can be reproduced by its dual matroid and its spanning, respectively.
