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math.GN2024
On the functor of comonotonically maxitive functionals
Taras Radul
We introduce a functor of functionals which preserve maximum of comonotone functions and addition of constants. This functor is a subfunctor of the functor of order-preserving func…
math.GN2024
On the openness of the idempotent barycenter map related to a t-norm
Dawid Krasiński, Taras Radul
We demonstrate that the idempotent barycenter map, associated with a t-norm , is open if and only if the map of max- convex combination is open. As a corollary, we dedu…