Product and coproduct structures of (L, M)-fuzzy hull operators1

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...

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Bibliographic Details
Published in:Journal of intelligent & fuzzy systems 2023-03, Vol.44 (3), p.3515-3526
Main Authors: Zhao, Hu, Jia, Li-Yan, Chen, Gui-Xiu
Format: Article
Language:English
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Summary: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.
ISSN:1064-1246
1875-8967
DOI:10.3233/JIFS-222911