On the migrativity of triangular subnorms

The ( α , T ) -migrative triangular subnorms, where T stands for the three prototype triangular norms (namely the product, the Łukasiewicz t-norm and the minimum), are investigated in detail. The paper gives necessary and sufficient conditions under which a triangular subnorm with a continuous additive generator is ( α , T ) -migrative with respect to any of the three prototype triangular norms.