Chebyshev type inequalities for pseudo-integrals Original Research Article

Chebyshev type inequalities for two classes of pseudo-integrals are shown. One of them concerning the pseudo-integrals based on a function reduces on the gg-integral where pseudo-operations are defined by a monotone and continuous function gg. Another one concerns the pseudo-integrals based on a semiring ([a,b],max,⊙)([a,b],max,⊙), where ⊙⊙ is generated. Moreover, a strengthened version of Chebyshev’s inequality for pseudo-integrals is proved.