5 papers · 1 filter
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…
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…
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…
Fuzzy integrals on compacta based on pseudo-grouping and overlap functions
Taras Radul
We consider a wide family of fuzzy integrals on arbitrary compactum which generalize well know Sugeno integral. Such generalization is obtained using some non-discrete analogs of p…
Addition and subspace theorems for asymptotic large inductive dimension
Taras Radul
We prove addition and subspace theorems for asymptotic large inductive dimension. We investigate a transfinite extension of this dimension and show that it is trivial.