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math.CT2011★ 5 cited
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…
math.CT2011★ 1 cited
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 $(\…