Chebyshev type inequalities for pseudo-integrals

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 g integral where pseudo-operations are defined by a monotone and continuous function g. Another one concerns the pseudo-integrals based on a semiring ([a, b], max, circle dot), where circle dot is generated. Moreover, a strengthened version of Chebyshev's inequality for pseudo-integrals is proved. (C) 2009 Elsevier Ltd. All rights reserved.