SUGENO INTEGRAL AND THE COMONOTONE COMMUTING PROPERTY

摘要

Comonotone maxitivity and minitivity of Sugeno integral can be seen as commuting of the Sugeno integral and max, resp. min operator for comonotone functions. In the paper, we look for the other operators commuting with the Sugeno integral when comonotone functions are considered. We give full description of all such commuting operators, which can be classified into 18 classes.