FUZZY SETS AND SYSTEMS, cilt.427, ss.132-148, 2022 (SCI-Expanded)
This paper continues to study the construction of uni-nullnorms on bounded lattices. At first, we introduce a new method for constructing the smallest uni-nullnorm on an arbitrary bounded lattice L having the elements e, a is an element of L, based on the existence of a uninorm on [0, a](2) with the neutral element e and a triangular norm on [a, 1](2). And then, we propose another new approach to obtain the largest uni-nullnorm on L via a uninorm on [0, a)(2) with the neutral element e and a triangular norm on [a, 1](2). Furthermore, we provide some corresponding examples to illustrate that our construction methods differ from the existing ones. (C) 2021 Elsevier B.V. All rights reserved.