This paper continues to study the construction of nullnorms on bounded lattices. We first propose two new construction methods of nullnorms derived from an arbitrary t-norm (resp. an arbitrary t-conorm) using a closure operator (resp. an interior operator) on bounded lattices, where some sufficient and necessary conditions are considered. Then, we introduce two other methods to obtain nullnorms based on a closure operator (an interior operator) on bounded lattices with some constraints. In particular, we obtain some new classes of idempotent nullnorms on bounded lattices. Moreover, we provide some examples for a better understanding of new classes of nullnorms on bounded lattices.

本文继续研究有界格上零范数的构造。首先，我们提出了两种新的零范数构造方法，它们是使用有界格上的闭合运算符（分别为内部运算符）从任意t范数（分别为任意t-con-conorm）派生的，其中考虑了一些充分必要的条件。然后，我们介绍了两种其他方法，这些方法基于具有某些约束的有界格上的闭包运算符（内部运算符）来获取nullnorm。特别是，我们在有界格子上获得了一些新的幂等零范数。此外，我们提供了一些示例，以更好地理解有界格上的新的空范类。