Some further results about uninorms on bounded lattices

The main purpose of this paper is to solve the problem proposed by Cayli about uninorms on bounded lattices and build close relationships among uninorms constructed in this paper. Based on the known construction methods and researchers' work, we obtain new uninorms on L with the given t-norm and t-conorm by using closure (interior) operators. The new construction methods provide answers to the problem presented by Cayli. All classes of uninorms constructed via closure (interior) operators in this paper can be closely connected in a quadruple from the views of the logics of finite observations. (C) 2020 Elsevier Inc. All rights reserved.