Generalizing the migrativity of continuous t-norms

This paper generalizes the migrativity of triangular norms (t-norms for short). Precisely, we find those continuous t-norms T which satisfy T ( λ 1 x , λ 2 y ) = λ 3 T ( x , y ) , where λ i ∈ ( 0,1 ] , i = 1,2 , 3 are given. It is worth pointing out that this paper provides a new characterization of the product t-norm.