Affiliations: [a] School of Science, Hunan University of Science and Engineering, Hunan, China
| [b] School of Mathematics and Computational Science, Xiangtan University, Hunan, China
| [c] Department of Mathematics, Yazd University, Yazd, Iran
| [d] School of Mathematics and Computational Science, Wuyi University, Guangdong, China
Correspondence:
[*]
Corresponding author. Xiu-Yun Wu, School of Science, Hunan University of Science and Engineering, Hunan, China. Tel.: +86 18374601897; Fax: +0746 6381374; E-mail: wuxiuyun2000@126.com.
Abstract: In this paper, notions of M-fuzzifying convex matroids and M-fuzzifying (resp. strongly, decomposable) independent structures are introduced and their relations are discussed in details. Specifically, each M-fuzzifying independent structure generates an M-fuzzifying convex structure and each M-fuzzifying decomposable independent structure is strong. Especially, an M-fuzzifying independent structure is an M-fuzzifying decomposable independent structure iff it is generated by an M-fuzzifying convex matroid; an M-fuzzifying convex structure is an M-fuzzifying convex matroid iff it is generated by an M-fuzzifying decomposable independent structure.
