In this paper, we prove Bellman’s type inequality for pseudo-integral. Bellman type inequality for two classes of pseudo-integral are shown.one of them concerning the pseudo-integrals based on a function reduces on the g-integral where pseudooperations are defined by a monotone and continuous function g. Another one concerns the pseudo-integrals based on a semiring ([a, b], max, ⊙ ) where ⊙ is generated.
