Extends triangular norms to partially ordered sets, indicating potential applications in mathematical structures.
In this study, we extend the additively generated triangular norms from the framework of the unit interval to that of partially ordered sets. We present several conditions under which this formula yields a t‐norm, where are partially ordered sets, and are monotone functions and is a t‐norm/t‐conorm on . The partially ordered semigroups induced by are order‐preserving/order‐reversing homomorphic to semigroup deformations of the semigroup induced by .
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Su et al. (2026) studied this question.
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