Linearity and generalized linearity of fuzzy integrals is studied. For continuous from below fuzzy integrals, linearity leads to the Lebesgue integral while the comonotone linearity results to the Choquet integral. Similar results for idempotent linearity are presented.
Linearity and generalized linearity of fuzzy integrals is studied. For continuous from below fuzzy integrals, linearity leads to the Lebesgue integral while the comonotone linearity results to the Choquet integral. Similar results for idempotent linearity are presented. (en)
V clanku sa studuje linearita a zovseobecnena linearita fuzzy integralov. Pre fuzzy integraly spojite zdoal vedie linearita na Lebesgueov integral, zatial co komonotonna linearita vedie na Choquetov integral. Podobne vysledky uvadzame pre pripady idempotentnej linearity. (cs)