$(\oplus,\odot)$-Laplace transform as a basis for aggregation type operators


Ivana Štajner-Papuga




Pseudo-Laplace transform is an important notion from pseudo-analysis’ framework that is often used in dealing with differential or integral equation. The $(\oplus,\odot)$-Laplace transform considered here is a generalization of the pseudo-Laplace transform based on a special class of generalized pseudo-operations that need not be commutative nor associative. This pseudo-Laplace type transform has been used for the construction of pseudo-aggregation operators.