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A Characterization of Residual Implications Derived from Uninorms

In this paper, a set of axioms is given that character- izes those functions I :( 0,1) 2 → (0,1) for which a left-continuous uninorm U exists in such a way that I is the residual implication de- rived from U. A characterization for the particular case when U is representable is also given. Keywords— Implication function, left-continuity, residual impli- cation, uninorm.