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math.GN2025
On monotonicity of comonotonically maxitive functional
Taras Radul
The comonotonic maxitivity property of functionals frequently appears in the characterization of fuzzy integrals based on the maximum operation. In some special cases, comonotonic…
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 KrasiÅski, 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…