4 citations · 7 across the 10 of their papers we have counts for
11 papers
On exact capacities
Taras Radul
We consider capacity (fuzzy measure, non-additive probability) on a compactum as a monotone cooperative normed game. We introduce topological analogues of well known class of exact…
On idempotent convexities and idempotent barycenter maps
Dawid Krasiński, Taras Radul
We consider an isomorphism between the idempotent convexity based on the maximum and the addition operations and the idempotent measure convexity on the maximum and the multiplicat…
An isomorphism of idempotent monads
Taras Radul
We consider isomorphism between the idempotent measure monad based on the maximum and the addition operations and the idempotent measure monad based on the maximum and the multipli…
Some remarks on characterization of t-normed integrals on compacta
Taras Radul
A characterization of t-normed integrals was obtained in \cite{CLM} for finite compacta and in \cite{Rad} for the general case. Such characterization establishes a correspondence b…
On t-normed integrals with respect to possibility capacities on compacta
Taras Radul
Riesz Theorem establishes a correspondence between the set of -additive regular Borel measures and the set of linear positively defined functionals. We consider an idempotent an…
A functional representation of the capacity multiplication monad
Taras Radul
Functional representations of the capacity monad based on the max and min operations were considered in \cite{Ra1} and \cite{Ny1}. Nykyforchyn considered in \cite{Ny2} some alterna…