Cross‐migrative triangular norms

We study the cross‐migrativity of triangular norms. The classes of continuous triangular norms, which are cross‐migrative with respect to some strict or nilpotent triangular norm, respectively, are completely characterized, as well as those which are cross‐migrative with respect to the greatest and smallest triangular norms, respectively. As a by‐product, parametric systems of equivalence relations on the classes of strict and nilpotent triangular norms are found. © 2012 Wiley Periodicals, Inc.

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