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

Author:

Zhao Hu1,Jia Li-Yan1,Chen Gui-Xiu2

Affiliation:

1. School of Science, Xi’an Polytechnic University, Xi’an, P.R. China

2. School of Mathematics and Statistics, Qinghai Normal University, Xining, P. R. China

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.

Publisher

IOS Press

Subject

Artificial Intelligence,General Engineering,Statistics and Probability

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