Abstract
In this paper, we first generalize some constructions of t-norms on bounded lattices by using order-preserving functions and propose the necessary and sufficient conditions for this kind of construction. Then, we simplify these conditions for practical use. Based on these results, we propose a new type of ordinal sum construction for t-norms. It can be regarded as a generalization of h-ordinal sum. Some examples and comparisons are also provided.
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