Distributivity and conditional distributivity for S-uninorms

摘要

The distributivity and conditional distributivity of a uninorm over a continuous t-conorm is an open problem posed by Klement in the Linz Seminar 2000 closing session. After this, the study of distributivity and conditional distributivity between two aggregation operators become specially interesting. In this work, we continue investigating the same topic for uni-nullnorms, then the full characterization of all pairs (F, G) satisfying distributivity and conditional distributivity is given, where F is a uni-nullnorm, G is a t-norm, or a t-conorm, or a uninorm from U-min and U-max. (C) 2018 Elsevier B.V. All rights reserved.