Many applications from economic and financial practice lead to optimization problems depending on a probability measure. A complete knowledge of the "underlying" measure is a necessary assumption to determine an exact optimal solution and an exact optimal value. Since this condition is not...

Different types of continuity of triangular norms are investigated. The types which are stronger than the usual continuity are analytical properties and, therefore, there are representations of the corresponding triangular norms. This is not the case for the weaker types of continuity (which are...

First we define the splitting operator, which is related to the Shapley operator of the splitting game introduced by Sorin (2002). It depends on two compact convex sets C and D and associates to a function defined on C ×D a saddle function, extending the usual convexification or concavification...