Distributivity and conditional distributivity for uni-nullnorms

摘要

The distributivity condition plays an essential role in the framework of fuzzy connectives. This paper studies both regular and conditional distributivity equations for S-uninorms and gives the characterizations of distributivity equations between some binary aggregation operators and S-uninorms in u(min). Moreover, we describe t-norms, T-uninorms and semi-t-operators that are conditional distributive over S-uninorms. (C) 2018 Elsevier B.V. All rights reserved.