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

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.