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Mesiarová-Zemánková, Andrea; Kalafut, Juraj
Fuzzy sets and systems, 11/2023, Letnik: 471Journal Article
We characterize all pseudo-uninorms with continuous Archimedean underlying functions. By discussing all possible combinations of strict and nilpotent underlying functions we show that a pseudo-uninorm with continuous Archimedean underlying functions is not a uninorm only in the case when both underlying functions are strict. Moreover, we show that in the case of pseudo-uninorms with continuous Archimedean underlying functions the set of points where the commutativity could be violated reduces to {(0,1),(1,0)}.
