Triangular norms on partially ordered sets

In this paper, several methods to construct triangular norms on partially ordered sets are proposed. These methods include:(1)Constructing triangular norms on the poset of closed intervals of a given bounded poset. (2)Constructing triangular norms via Galois connections between bounded posets based on a categorical analysis of the construction of triangular norms on closed intervals via monotone functions and their pseudo-inverses. (3)Constructing triangular norms on function spaces between partially ordered sets.

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