8 citations · 20 across the 6 of their papers we have counts for
5 papers · 1 filter
Ambiguous representations of semilattices and imperfect information
Oleh Nykyforchyn, Oksana Mykytsey
Crisp and lattice-valued ambiguous representations of one continuous semilattice in another one are introduced and operation of taking pseudo-inverse of the above relations is defi…
-fuzzy strongest postcondition predicate transformers as -idempotent linear or affine operators between semimodules of monotonic predicates
Oleh Nykyforchyn, Dušan Repovš
For a completely distributive quantale , -fuzzy strongest postcondition predicate transformers are introduced, and it is shown that, under reasonable assumptions, they are li…
Ambiguous representations as fuzzy relations between sets
Oleh Nykyforchyn, Dušan Repovš
Crisp and -fuzzy ambiguous representations of closed subsets of one space by closed subsets of another space are introduced. It is shown that, for each pair of compact Hausdorff…
Idempotent convexity and algebras for the capacity monad and its submonads
Oleh Nykyforchyn, Dušan Repovš
Idempotent analogues of convexity are introduced. It is proved that the category of algebras for the capacity monad in the category of compacta is isomorphic to the category of $(\…
Inclusion hyperspaces and capacities on Tychonoff spaces: functors and monads
Oleh Nykyforchyn, Dušan Repovš
The inclusion hyperspace functor, the capacity functor and monads for these functors have been extended from the category of compact Hausdorff spaces to the category of Tychonoff s…