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 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: Notice that there’s a one-to-one correspondence between between (L, M)-fuzzy hull operators and (L, M)-fuzzy convex structures. So, it is necessary to consider the product of (L, M)-fuzzy convex structures through the product structures of (L, M)-fuzzy hull operators. In this paper, we construct the product structures of (L, M)-fuzzy hull operators to characterize the product of (L, M)-fuzzy convex structures. On the other hand, we construct the coproduct structures of (L, M)-fuzzy hull operators to give a reasonable definition with respect to the coproduct of (L, M)-fuzzy convex structures.
