Abstract
In this paper, we focus on the construction of non-direct product triangular norms on product lattices. First, we give one class of non-direct product triangular norms on more general product lattices, which generalizes the previous results. Subsequently, we provide another class of non-direct product triangular norms on product lattices, which differ from others. Our work gives an alternative answer to an open problem proposed by Jenei and De Baets.
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