Affiliations: [a] School of Science, Xi’an Polytechnic University, Xi’an, P.R. China
| [b] School of Mathematics and Statistics, Qinghai Normal University, Xining, P.R. China
Correspondence:
[*]
Corresponding author. Hu Zhao, School of Science, Xi’an Polytechnic University, Xi’an, 710048, P.R. China. E-mails: zhaohu@xpu.edu.cn; zhaohu2007@yeah.net.
Note: [1] The work is partly supported by the National Natural Science Foundation of China (Grant No. 12171386) and the Applied Basic Research Program Funded by Qinghai Province (Program No.2019-ZJ-7078).
Abstract: In order to give a characterization of the product of (L, M)-fuzzy convex structures, the notion of convex (L, M)-fuzzy hull operators is presented, it is proved that the category of (L, M)-fuzzy convex structures and the category of convex (L, M)-fuzzy hull operators are isomorphic. In particular, the lattices structure of convex (L, M)-fuzzy hull operators and a new characterization of the product of (L, M)-fuzzy convex structures are given.
