On fuzzifying matroids: Dual matroids and spanning

摘要

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.