Cancellative t-norms

The structure of cancellative t-norms is studied. It is shown that a cancellative tnorm is generated if and only if it has no anomalous pair, and then it is Archimedean. Moreover, if it is also continuous in point (1,1) it is isomorphic to the product tnorm. Several examples of non-generated cancellative t-norms are also given.

• Type: Conference
• Year: 2003
• Where: EUSFLAT
• Authors: Andrea Mesiarová, Peter Viceník
• Keywords: Anomalous Pair, Cancellative T-norms, Cancellative Tnorm, EUSFLAT 2003, EUSFLAT 2007