Sugeno and Shilkret integrals, and T- and S-evaluators

At SISY 2008 conference we studied the Sugeno, Shilkret and Choquet integrals and some of their level-dependent modifications as T
_L
-(S
_L
-) evaluators. In this contribution we give an overview of possible level-dependent generalizations of Sugeno and Shilkret integrals. We show under which conditions these integrals and their generalizations are T- and/or S-evaluators for an arbitrary t-norm T and t-conorm S.